diff --git a/arbeit/img/3d_grid_resolution.png b/arbeit/img/3d_grid_resolution.png new file mode 100644 index 0000000..ec715c2 Binary files /dev/null and b/arbeit/img/3d_grid_resolution.png differ diff --git a/arbeit/ma.md b/arbeit/ma.md index fc890f5..b6f5495 100644 --- a/arbeit/ma.md +++ b/arbeit/ma.md @@ -28,7 +28,7 @@ Unless otherwise noted the following holds: Many modern industrial design processes require advanced optimization methods due to the increased complexity resulting from more and more degrees of freedom as methods refine and/or other methods are used. Examples for this are physical -domains like aerodynamic (i.e. drag), fluid dynamics (i.e. throughput of liquid) +domains like aerodynamics (i.e. drag), fluid dynamics (i.e. throughput of liquid) --- where the complexity increases with the temporal and spatial resolution of the simulation --- or known hard algorithmic problems in informatics (i.e. layouting of circuit boards or stacking of 3D--objects). Moreover these are @@ -45,7 +45,7 @@ representation (the *genome*) can be challenging. This translation is often necessary as the target of the optimization may have too many degrees of freedom. In the example of an aerodynamic simulation of drag -onto an object, those objects--designs tend to have a high number of vertices to +onto an object, those object--designs tend to have a high number of vertices to adhere to various requirements (visual, practical, physical, etc.). A simpler representation of the same object in only a few parameters that manipulate the whole in a sensible matter are desirable, as this often decreases the @@ -425,7 +425,7 @@ the given direction. The definition for an *improvement potential* $P$ is\cite{anrichterEvol}: $$ -P(\vec{U}) := 1 - \|(\vec{1} - \vec{UU}^+)\vec(G)\|^2_F +P(\vec{U}) := 1 - \|(\vec{1} - \vec{UU}^+)\vec{G}\|^2_F $$ given some approximate $n \times d$ fitness--gradient $\vec{G}$, normalized to $\|\vec{G}\|_F = 1$, whereby $\|\cdot\|_F$ denotes the Frobenius--Norm. @@ -549,6 +549,7 @@ and use Cramers rule for inverting the small Jacobian and solving this system of linear equations. ## Deformation Grid +\label{sec:impl:grid} As mentioned in chapter \ref{sec:back:evo}, the way of choosing the representation to map the general problem (mesh--fitting/optimization in our @@ -565,19 +566,9 @@ control point without having a $1:1$--correlation, and a smooth deformation. While the advantages are great, the issues arise from the problem to decide where to place the control--points and how many. -One would normally think, that the more control--points you add, the better the -result will be, but this is not the case for our B--Splines. Given any point $p$ -only the $2 \cdot (d-1)$ control--points contribute to the parametrization of -that point^[Normally these are $d-1$ to each side, but at the boundaries the -number gets increased to the inside to meet the required smoothness]. -This means, that a high resolution can have many control-points that are not -contributing to any point on the surface and are thus completely irrelevant to -the solution. - -\begin{figure}[!ht] -\begin{center} +\begin{figure}[!tbh] +\centering \includegraphics{img/enoughCP.png} -\end{center} \caption[Example of a high resolution control--grid]{A high resolution ($10 \times 10$) of control--points over a circle. Yellow/green points contribute to the parametrization, red points don't.\newline @@ -586,6 +577,14 @@ control--points.} \label{fig:enoughCP} \end{figure} +One would normally think, that the more control--points you add, the better the +result will be, but this is not the case for our B--Splines. Given any point $p$ +only the $2 \cdot (d-1)$ control--points contribute to the parametrization of +that point^[Normally these are $d-1$ to each side, but at the boundaries the +number gets increased to the inside to meet the required smoothness]. +This means, that a high resolution can have many control-points that are not +contributing to any point on the surface and are thus completely irrelevant to +the solution. We illustrate this phenomenon in figure \ref{fig:enoughCP}, where the four red central points are not relevant for the parametrization of the circle. @@ -619,14 +618,14 @@ In this scenario we used the shape defined by Giannelli et al.\cite{giannelli201 which is also used by Richter et al.\cite{anrichterEvol} using the same discretization to $150 \times 150$ points for a total of $n = 22\,500$ vertices. The shape is given by the following definition -$$ +\begin{equation} t(x,y) = \begin{cases} 0.5 \cos(4\pi \cdot q^{0.5}) + 0.5 & q(x,y) < \frac{1}{16},\\ 2(y-x) & 0 < y-x < 0.5,\\ 1 & 0.5 < y - x \end{cases} -$$ +\end{equation} with $(x,y) \in [0,2] \times [0,1]$ and $q(x,y)=(x-1.5)^2 + (y-0.5)^2$, which we have visualized in figure \ref{fig:1dtarget}. @@ -645,9 +644,9 @@ correct. Regarding the *fitness--function* $f(\vec{p})$, we use the very simple approach of calculating the squared distances for each corresponding vertex -$$ +\begin{equation} \textrm{f(\vec{p})} = \sum_{i=1}^{n} \|(\vec{Up})_i - t_i\|_2^2 = \|\vec{Up} - \vec{t}\|^2 \rightarrow \min -$$ +\end{equation} where $t_i$ are the respective target--vertices to the parametrized source--vertices^[The parametrization is encoded in $\vec{U}$ and the initial position of the control points. See \ref{sec:ffd:adapt}] with the current @@ -659,6 +658,108 @@ This formula is also the least--squares approximation error for which we can compute the analytic solution $\vec{p^{*}} = \vec{U^+}\vec{t}$, yielding us the correct gradient in which the evolutionary optimizer should move. +## Test Scenario: 3D Function Approximation +\label{sec:test:3dfa} +Opposed to the 1--dimensional scenario before, the 3--dimensional scenario is +much more complex --- not only because we have more degrees of freedom on each +control point, but also because the *fitness--function* we will use has no known +analytic solution and multiple local minima. + +\begin{figure}[ht] +\begin{center} +\includegraphics[width=0.9\textwidth]{img/3dtarget.png} +\end{center} +\caption[3D source and target meshes]{\newline +Left: The sphere we start from with 10\,807 vertices\newline +Right: The face we want to deform the sphere into with 12\,024 vertices.} +\label{fig:3dtarget} +\end{figure} + +First of all we introduce the set up: We have given a triangulated model of a +sphere consisting of $10\,807$ vertices, that we want to deform into a +the target--model of a face with a total of $12\,024$ vertices. Both of +these Models can be seen in figure \ref{fig:3dtarget}. + +Opposed to the 1D--case we cannot map the source and target--vertices in a +one--to--one--correspondence, which we especially need for the approximation of +the fitting--error. Hence we state that the error of one vertex is the distance +to the closest vertex of the other model. + +We therefore define the *fitness--function* to be: + +\begin{equation} +f(\vec{P}) = \frac{1}{n} \underbrace{\sum_{i=1}^n \|\vec{c_T(s_i)} - +\vec{s_i}\|_2^2}_{\textrm{source-to-target--distance}} ++ \frac{1}{m} \underbrace{\sum_{i=1}^m \|\vec{c_S(t_i)} - +\vec{t_i}\|_2^2}_{\textrm{target-to-source--distance}} ++ \lambda \cdot \textrm{regularization}(\vec{P}) +\label{eq:fit3d} +\end{equation} + +where $\vec{c_T(s_i)}$ denotes the target--vertex that is corresponding to the +source--vertex $\vec{s_i}$ and $\vec{c_S(t_i)}$ denotes the source--vertex that +corresponds to the target--vertex $\vec{t_i}$. Note that the target--vertices +are given and fixed by the target--model of the face we want to deform into, +whereas the source--vertices vary depending on the chosen parameters $\vec{P}$, +as those get calculated by the previously introduces formula $\vec{S} = \vec{UP}$ +with $\vec{S}$ being the $n \times 3$--matrix of source--vertices, $\vec{U}$ the +$n \times m$--matrix of calculated coefficients for the \ac{FFD} --- analog to +the 1D case --- and finally $\vec{P}$ being the $m \times 3$--matrix of the +control--grid defining the whole deformation. + +As regularization-term we add a weighted Laplacian of the deformation that has +been used before by Aschenbach et al.\cite[Section 3.2]{aschenbach2015} on +similar models and was shown to lead to a more precise fit. The Laplacian +\begin{equation} +\textrm{regularization}(\vec{P}) = \frac{1}{\sum_i A_i} \sum_{i=1}^n A_i \cdot \left( \sum_{\vec{s_j} \in \mathcal{N}(\vec{s_i})} w_j \cdot \|\Delta \vec{s_j} - \Delta \vec{\overline{s}_j}\|^2 \right) +\label{eq:reg3d} +\end{equation} +is determined by the cotangent weighted displacement $w_j$ of the to $s_i$ +connected vertices $\mathcal{N}(s_i)$ and $A_i$ is the Voronoi--area of the corresponding vertex +$\vec{s_i}$. We leave out the $\vec{R}_i$--term from the original paper as our +deformation is merely linear. + +This regularization--weight gives us a measure of stiffness for the material +that we will influence via the $\lambda$--coefficient to start out with a stiff +material that will get more flexible per iteration. +\unsure[inline]{Andreas: hast du nen cite, wo gezeigt ist, dass das so sinnvoll ist?} + +# Evaluation of Scenarios +\label{sec:res} + +To compare our results to the ones given by Richter et al.\cite{anrichterEvol}, +we also use Spearman's rank correlation coefficient. Opposed to other popular +coefficients, like the Pearson correlation coefficient, which measures a linear +relationship between variables, the Spearmans's coefficient assesses \glqq how +well an arbitrary monotonic function can descripbe the relationship between two +variables, without making any assumptions about the frequency distribution of +the variables\grqq\cite{hauke2011comparison}. + +As we don't have any prior knowledge if any of the criteria is linear and we are +just interested in a monotonic relation between the criteria and their +predictive power, the Spearman's coefficient seems to fit out scenario best. + +For interpretation of these values we follow the same interpretation used in +\cite{anrichterEvol}, based on \cite{weir2015spearman}: The coefficient +intervals $r_S \in [0,0.2[$, $[0.2,0.4[$, $[0.4,0.6[$, $[0.6,0.8[$, and $[0.8,1]$ are +classified as *very weak*, *weak*, *moderate*, *strong* and *very strong*. We +interpret p--values smaller than $0.1$ as *significant* and cut off the +precision of p--values after four decimal digits (thus often having a p--value +of $0$ given for p--values $< 10^{-4}$). + + +As we are looking for anti--correlation (i.e. our criterion should be maximized +indicating a minimal result in --- for example --- the reconstruction--error) +instead of correlation we flip the sign of the correlation--coefficient for +readability and to have the correlation--coefficients be in the +classification--range given above. + +For the evolutionary optimization we employ the CMA--ES (covariance matrix +adaptation evolution strategy) of the shark3.1 library \cite{shark08}, as this +algorithm was used by \cite{anrichterEvol} as well. We leave the parameters at +their sensible defaults as further explained in +\cite[Appendix~A: Table~1]{hansen2016cma}. + ## Procedure: 1D Function Approximation \label{sec:proc:1d} @@ -702,144 +803,6 @@ appropriate.]. An Example of such a testcase can be seen for a $7 \times 4$--grid in figure \ref{fig:example1d_grid}. -## Test Scenario: 3D Function Approximation - -Opposed to the 1--dimensional scenario before, the 3--dimensional scenario is -much more complex --- not only because we have more degrees of freedom on each -control point, but also because the *fitness--function* we will use has no known -analytic solution and multiple local minima. - -\begin{figure}[ht] -\begin{center} -\includegraphics[width=0.7\textwidth]{img/3dtarget.png} -\end{center} -\caption[3D source and target meshes]{\newline -Left: The sphere we start from with 10\,807 vertices\newline -Right: The face we want to deform the sphere into with 12\,024 vertices.} -\label{fig:3dtarget} -\end{figure} - -First of all we introduce the set up: We have given a triangulated model of a -sphere consisting of 10\,807 vertices, that we want to deform into a -the target--model of a face with a total of 12\,024 vertices. Both of -these Models can be seen in figure \ref{fig:3dtarget}. - -Opposed to the 1D--case we cannot map the source and target--vertices in a -one--to--one--correspondence, which we especially need for the approximation of -the fitting--error. Hence we state that the error of one vertex is the distance -to the closest vertex of the other model. - -We therefore define the *fitness--function* to be: -$$ -f(\vec{P}) = \frac{1}{n} \underbrace{\sum_{i=1}^n \|\vec{c_T(s_i)} - -\vec{s_i}\|_2^2}_{\textrm{source-to-target--distance}} -+ \frac{1}{m} \underbrace{\sum_{i=1}^m \|\vec{c_S(t_i)} - -\vec{t_i}\|_2^2}_{\textrm{target-to-source--distance}} -+ \lambda \cdot \textrm{regularization}(\vec{P}) -$$ -where $\vec{c_T(s_i)}$ denotes the target--vertex that is corresponding to the -source--vertex $\vec{s_i}$ and $\vec{c_S(t_i)}$ denotes the source--vertex that -corresponds to the target--vertex $\vec{t_i}$. Note that the target--vertices -are given and fixed by the target--model of the face we want to deform into, -whereas the source--vertices vary depending on the chosen parameters $\vec{P}$, -as those get calculated by the previously introduces formula $\vec{S} = \vec{UP}$ -with $\vec{S}$ being the $n \times 3$--matrix of source--vertices, $\vec{U}$ the -$n \times m$--matrix of calculated coefficients for the \ac{FFD} --- analog to -the 1D case --- and finally $\vec{P}$ being the $m \times 3$--matrix of the -control--grid defining the whole deformation. - -As regularization-term we add a weighted Laplacian of the deformation that has -been used before by Aschenbach et al.\cite[Section 3.2]{aschenbach2015} on -similar models and was shown to lead to a more precise fit. The Laplacian -$$ -\textrm{regularization}(\vec{P}) = \frac{1}{\sum_i A_i} \sum_{i=1}^n A_i \cdot \left( \sum_{\vec{s_j} \in \mathcal{N}(\vec{s_i})} w_j \cdot \|\Delta \vec{s_j} - \Delta \vec{\overline{s}_j}\|^2 \right) -$$ -is determined by the cotangent weighted displacement $w_j$ of the to $s_i$ -connected vertices $\mathcal{N}(s_i)$ and $A_i$ is the Voronoi--area of the corresponding vertex -$\vec{s_i}$. We leave out the $\vec{R}_i$--term from the original paper as our -deformation is merely linear. - -This regularization--weight gives us a measure of stiffness for the material -that we will influence via the $\lambda$--coefficient to start out with a stiff -material that will get more flexible per iteration. -\unsure[inline]{Andreas: hast du nen cite, wo gezeigt ist, dass das so sinnvoll ist?} - -## Procedure: 3D Function Approximation - -Initially we set up the correspondences $\vec{c_T(\dots)}$ and $\vec{c_S(\dots)}$ to be -the respectively closest vertices of the other model. We then calculate the -analytical solution given these correspondences via $\vec{P^{*}} = \vec{U^+}\vec{T}$, -and also use the first solution as guessed gradient for the calculation of the -*improvement--potential*, as the optimal solution is not known. -We then let the evolutionary algorithm run up within $1.05$ times the error of -this solution and afterwards recalculate the correspondences $\vec{c_T(\dots)}$ -and $\vec{c_S(\dots)}$. -For the next step we then halve the regularization--impact $\lambda$ and -calculate the next incremental solution $\vec{P^{*}} = \vec{U^+}\vec{T}$ with -the updated correspondences to get our next target--error. -We repeat this process as long as the target--error keeps decreasing. - -\begin{figure}[ht] -\begin{center} -\includegraphics[width=\textwidth]{img/example3d_grid.png} -\end{center} -\caption[Example of a 3D--grid]{\newline Left: The 3D--setup with a $4\times -4\times 4$--grid.\newline Right: The same grid after added noise to the -control--points.} -\label{fig:setup3d} -\end{figure} - -The grid we use for our experiments is just very coarse due to computational -limitations. We are not interested in a good reconstruction, but an estimate if -the mentioned evolvability criteria are good. - -In figure \ref{fig:setup3d} we show an example setup of the scene with a -$4\times 4\times 4$--grid. Identical to the 1--dimensional scenario before, we create a -regular grid and move the control-points uniformly random between their -neighbours, but in three instead of two dimensions^[Again, we flip the signs for -the edges, if necessary to have the object still in the convex hull.]. - -As is clearly visible from figure \ref{fig:3dtarget}, the target--model has many -vertices in the facial area, at the ears and in the neck--region. Therefore we -chose to increase the grid-resolutions for our tests in two different dimensions -and see how well the criteria predict a suboptimal placement of these -control-points. - -# Evaluation of Scenarios -\label{sec:res} - -To compare our results to the ones given by Richter et al.\cite{anrichterEvol}, -we also use Spearman's rank correlation coefficient. Opposed to other popular -coefficients, like the Pearson correlation coefficient, which measures a linear -relationship between variables, the Spearmans's coefficient assesses \glqq how -well an arbitrary monotonic function can descripbe the relationship between two -variables, without making any assumptions about the frequency distribution of -the variables\grqq\cite{hauke2011comparison}. - -As we don't have any prior knowledge if any of the criteria is linear and we are -just interested in a monotonic relation between the criteria and their -predictive power, the Spearman's coefficient seems to fit out scenario best. - -For interpretation of these values we follow the same interpretation used in -\cite{anrichterEvol}, based on \cite{weir2015spearman}: The coefficient -intervals $r_S \in [0,0.2[$, $[0.2,0.4[$, $[0.4,0.6[$, $[0.6,0.8[$, and $[0.8,1]$ are -classified as *very weak*, *weak*, *moderate*, *strong* and *very strong*. We -interpret p--values smaller than $0.1$ as *significant* and cut off the -precision of p--values after four decimal digits (thus often having a p--value -of $0$ given for p--values $< 10^{-4}$). - -As we are looking for anti--correlation (i.e. our criterion should be maximized -indicating a minimal result in --- for example --- the reconstruction--error) -instead of correlation we flip the sign of the correlation--coefficient for -readability and to have the correlation--coefficients be in the -classification--range given above. - -For the evolutionary optimization we employ the CMA--ES (covariance matrix -adaptation evolution strategy) of the shark3.1 library \cite{shark08}, as this -algorithm was used by \cite{anrichterEvol} as well. We leave the parameters at -their sensible defaults as further explained in -\cite[Appendix~A: Table~1]{hansen2016cma}. - ## Results of 1D Function Approximation In the case of our 1D--Optimization--problem, we have the luxury of knowing the @@ -894,21 +857,6 @@ between the variability and the evolutionary error. ### Regularity -\begin{table}[bht] -\centering -\begin{tabular}{c|c|c|c|c} -$5 \times 5$ & $7 \times 4$ & $4 \times 7$ & $7 \times 7$ & $10 \times 10$\\ -\hline -$0.28$ ($0.0045$) & \textcolor{red}{$0.21$} ($0.0396$) & \textcolor{red}{$0.1$} ($0.3019$) & \textcolor{red}{$0.01$} ($0.9216$) & \textcolor{red}{$0.01$} ($0.9185$) -\end{tabular} -\caption[Correlation 1D Regularity/Steps]{Spearman's correlation (and p-values) -between regularity and convergence speed for the 1D function approximation -problem.\newline -Not significant entries are marked in red. -} -\label{tab:1dreg} -\end{table} - \begin{figure}[ht] \centering \includegraphics[width=\textwidth]{img/evolution1d/55_to_1010_steps.png} @@ -920,6 +868,21 @@ dataset.} \label{fig:1dreg} \end{figure} +\begin{table}[b] +\centering +\begin{tabular}{c|c|c|c|c} +$5 \times 5$ & $7 \times 4$ & $4 \times 7$ & $7 \times 7$ & $10 \times 10$\\ +\hline +$0.28$ ($0.0045$) & \textcolor{red}{$0.21$} ($0.0396$) & \textcolor{red}{$0.1$} ($0.3019$) & \textcolor{red}{$0.01$} ($0.9216$) & \textcolor{red}{$0.01$} ($0.9185$) +\end{tabular} +\caption[Correlation 1D Regularity/Steps]{Spearman's correlation (and p-values) +between regularity and convergence speed for the 1D function approximation +problem. +\newline Note: Not significant results are marked in \textcolor{red}{red}. +} +\label{tab:1dreg} +\end{table} + Regularity should correspond to the convergence speed (measured in iteration--steps of the evolutionary algorithm), and is computed as inverse condition number $\kappa(\vec{U})$ of the deformation--matrix. @@ -936,13 +899,11 @@ improvement-potential against the steps next to the regularity--plot. Our theory is that the *very strong* correlation ($-r_S = -0.82, p=0$) between improvement--potential and number of iterations hints that the employed algorithm simply takes longer to converge on a better solution (as seen in -figure \ref{fig:1dvar} and \ref{fig:1dimp}) offsetting any gain the regularity--measurement could -achieve. +figure \ref{fig:1dvar} and \ref{fig:1dimp}) offsetting any gain the +regularity--measurement could achieve. ### Improvement Potential -- Alle Spearman 1 und p-value 0. - \begin{figure}[ht] \centering \includegraphics[width=0.8\textwidth]{img/evolution1d/55_to_1010_improvement-vs-evo-error.png} @@ -952,36 +913,246 @@ grid--resolutions} \label{fig:1dimp} \end{figure} - - - - - +\improvement[inline]{write something about it..} + +- spearman 1 (p=0) +- gradient macht keinen unterschied +- $UU^+$ scheint sehr kleine EW zu haben, s. regularität +- trotzdem sehr gutes kriterium - auch ohne Richtung. + +## Procedure: 3D Function Approximation +\label{sec:proc:3dfa} + +As explained in section \ref{sec:test:3dfa} in detail, we do not know the +analytical solution to the global optimum. Additionally we have the problem of +finding the right correspondences between the original sphere--model and the +target--model, as they consist of $10\,807$ and $12\,024$ vertices respectively, +so we cannot make a one--to--one--correspondence between them as we did in the +one--dimensional case. + +Initially we set up the correspondences $\vec{c_T(\dots)}$ and $\vec{c_S(\dots)}$ to be +the respectively closest vertices of the other model. We then calculate the +analytical solution given these correspondences via $\vec{P^{*}} = \vec{U^+}\vec{T}$, +and also use the first solution as guessed gradient for the calculation of the +*improvement--potential*, as the optimal solution is not known. +We then let the evolutionary algorithm run up within $1.05$ times the error of +this solution and afterwards recalculate the correspondences $\vec{c_T(\dots)}$ +and $\vec{c_S(\dots)}$. + +\begin{figure}[ht] +\begin{center} +\includegraphics[width=\textwidth]{img/example3d_grid.png} +\end{center} +\caption[Example of a 3D--grid]{\newline Left: The 3D--setup with a $4\times +4\times 4$--grid.\newline Right: The same grid after added noise to the +control--points.} +\label{fig:setup3d} +\end{figure} + +For the next step we then halve the regularization--impact $\lambda$ (starting +at $1$) of our *fitness--function* (\ref{eq:fit3d}) and calculate the next +incremental solution $\vec{P^{*}} = \vec{U^+}\vec{T}$ with the updated +correspondences to get our next target--error. We repeat this process as long as +the target--error keeps decreasing and use the number of these iterations as +measure of the convergence speed. As the resulting evolutional error without +regularization is in the numeric range of $\approx 100$, whereas the +regularization is numerically $\approx 7000$ we need at least $10$ to $15$ iterations +until the regularization--effect wears off. + +The grid we use for our experiments is just very coarse due to computational +limitations. We are not interested in a good reconstruction, but an estimate if +the mentioned evolvability criteria are good. + +In figure \ref{fig:setup3d} we show an example setup of the scene with a +$4\times 4\times 4$--grid. Identical to the 1--dimensional scenario before, we create a +regular grid and move the control-points \todo{wie?} random between their +neighbours, but in three instead of two dimensions^[Again, we flip the signs for +the edges, if necessary to have the object still in the convex hull.]. + +\begin{figure}[!htb] +\includegraphics[width=\textwidth]{img/3d_grid_resolution.png} +\caption[Different resolution of 3D grids]{\newline +Left: A $7 \times 4 \times 4$ grid suited to better deform into facial +features.\newline +Right: A $4 \times 4 \times 7$ grid that we expect to perform worse.} +\label{fig:3dgridres} +\end{figure} + +As is clearly visible from figure \ref{fig:3dgridres}, the target--model has many +vertices in the facial area, at the ears and in the neck--region. Therefore we +chose to increase the grid-resolutions for our tests in two different dimensions +and see how well the criteria predict a suboptimal placement of these +control-points. ## Results of 3D Function Approximation +In the 3D--Approximation we tried to evaluate further on the impact of the +grid--layout to the overall criteria. As the target--model has many vertices in +concentrated in the facial area we start from a $4 \times 4 \times 4$ grid and +only increase the number of control points in one dimension, yielding a +resolution of $7 \times 4 \times 4$ and $4 \times 4 \times 7$ respectively. We +visualized those two grids in figure \ref{fig:3dgridres}. -\begin{figure}[!ht] -\includegraphics[width=\textwidth]{img/evolution3d/4x4xX_montage.png} -\caption{Results 3D for 4x4xX} +To evaluate the performance of the evolvability--criteria we also tested a more +neutral resolution of $4 \times 4 \times 4$, $5 \times 5 \times 5$, and $6 \times 6 \times 6$ --- +similar to the 1D--setup. + +\begin{figure}[ht] +\centering +\includegraphics[width=0.7\textwidth]{img/evolution3d/variability_boxplot.png} +\caption[3D Fitting Errors for various grids]{The fitting error for the various +grids we examined.\newline +Note that the number of control--points is a product of the resolution, so $X +\times 4 \times 4$ and $4 \times 4 \times X$ have the same number of +control--points.} +\label{fig:3dvar} \end{figure} -\begin{figure}[!ht] -\includegraphics[width=\textwidth]{img/evolution3d/Xx4x4_montage.png} -\caption{Results 3D for Xx4x4} +### Variability + +\begin{table}[tbh] +\centering +\begin{tabular}{c|c|c|c} +$4 \times 4 \times \mathrm{X}$ & $\mathrm{X} \times 4 \times 4$ & $\mathrm{Y} \times \mathrm{Y} \times \mathrm{Y}$ & all \\ +\hline +0.89 (0) & 0.9 (0) & 0.91 (0) & 0.94 (0) +\end{tabular} +\caption[Correlation between variability and fitting error for 3D]{Correlation +between variability and fitting error for the 3D fitting scenario.\newline +Displayed are the negated Spearman coefficients with the corresponding p-values +in brackets for three cases of increasing variability ($\mathrm{X} \in [4,5,7], +\mathrm{Y} \in [4,5,6]$). +\newline Note: Not significant results are marked in \textcolor{red}{red}.} +\label{tab:3dvar} +\end{table} + +Similar to the 1D case all our tested matrices had a constant rank (being +$m = x \cdot y \cdot z$ for a $x \times y \times z$ grid), so we again have merely plotted +the errors in the boxplot in figure \ref{fig:3dvar}. + +As expected the $\mathrm{X} \times 4 \times 4$ grids performed +slightly better than their $4 \times 4 \times \mathrm{X}$ counterparts with a +mean$\pm$sigma of $101.25 \pm 7.45$ to $102.89 \pm 6.74$ for $\mathrm{X} = 5$ and +$85.37 \pm 7.12$ to $89.22 \pm 6.49$ for $\mathrm{X} = 7$. + +Interestingly both variants end up closer in terms of fitting error than we +anticipated, which shows that the evolutionary algorithm we employed is capable +of correcting a purposefully created \glqq bad\grqq \ grid. Also this confirms, +that in our cases the number of control--points is more important for quality +than their placement, which is captured by the variability via the rank of the +deformation--matrix. + +\begin{figure}[hbt] +\centering +\includegraphics[width=0.8\textwidth]{img/evolution3d/variability2_boxplot.png} +\caption[Histogram of ranks of high--resolution deformation--matrices]{ +Histogram of ranks of various $10 \times 10 \times 10$ grids. +} +\label{fig:histrank3d} \end{figure} -\begin{figure}[!ht] -\includegraphics[width=\textwidth]{img/evolution3d/YxYxY_montage.png} -\caption{Results 3D for YxYxY for Y $\in [4,5,6]$} +Overall the correlation between variability and fitness--error were +*significantly* and showed a *very strong* correlation in all our tests. +The detailed correlation--coefficients are given in table \ref{tab:3dvar} +alongside their p--values. + +As introduces in section \ref{sec:impl:grid} and visualized in figure +\ref{fig:enoughCP}, we know, that not all control points have to necessarily +contribute to the parametrization of our 3D--model. Because we are starting from +a sphere, some control-points are too far away from the surface to contribute +to the deformation at all. + +One can already see in 2D in figure \ref{fig:enoughCP}, that this effect +starts with a regular $9 \times 9$ grid on a perfect circle. To make sure we +observe this, we evaluated the variability for 100 randomly moved $10 \times 10 \times 10$ +grids on the sphere we start out with. + +As the variability is defined by $\frac{\mathrm{rank}(\vec{U})}{n}$ we can +easily recover the rank of the deformation--matrix $\vec{U}$. The results are +shown in the histogram in figure \ref{fig:histrank3d}. Especially in the centre +of the sphere and in the corners of our grid we effectively loose +control--points for our parametrization. + +This of course yields a worse error as when those control--points would be put +to use and one should expect a loss in quality evident by a higher +reconstruction--error opposed to a grid where they are used. Sadly we could not +run a in--depth test on this due to computational limitations. + +Nevertheless this hints at the notion, that variability is a good measure for +the overall quality of a fit. + +### Regularity + +\begin{table}[tbh] +\centering +\begin{tabular}{c|c|c|c} + & $5 \times 4 \times 4$ & $7 \times 4 \times 4$ & $\mathrm{X} \times 4 \times 4$ \\ +\cline{2-4} + & \textcolor{red}{0.15} (0.147) & \textcolor{red}{0.09} (0.37) & 0.46 (0) \B \\ +\cline{2-4} +\multicolumn{4}{c}{} \\[-1.4em] +\hline +$4 \times 4 \times 4$ & $4 \times 4 \times 5$ & $4 \times 4 \times 7$ & $4 \times 4 \times \mathrm{X}$ \T \\ +\hline +0.38 (0) & \textcolor{red}{0.17} (0.09) & 0.40 (0) & 0.46 (0) \B \\ +\hline +\multicolumn{4}{c}{} \\[-1.4em] +\cline{2-4} + & $5 \times 5 \times 5$ & $6 \times 6 \times 6$ & $\mathrm{Y} \times \mathrm{Y} \times \mathrm{Y}$ \T \\ +\cline{2-4} + & \textcolor{red}{-0.18} (0.0775) & \textcolor{red}{-0.13} (0.1715) & -0.25 (0) \B \\ +\cline{2-4} +\multicolumn{4}{c}{} \\[-1.4em] +\cline{2-4} +\multicolumn{3}{c}{} & all: 0.15 (0) \T +\end{tabular} +\caption[Correlation between regularity and iterations for 3D]{Correlation +between regularity and number of iterations for the 3D fitting scenario. +Displayed are the negated Spearman coefficients with the corresponding p--values +in brackets for various given grids ($\mathrm{X} \in [4,5,7], \mathrm{Y} \in [4,5,6]$). +\newline Note: Not significant results are marked in \textcolor{red}{red}.} +\label{tab:3dvar} +\end{table} + + + +Opposed to the predictions of variability our test on regularity gave a mixed +result --- similar to the 1D--case. + +In half scenarios we have a *significant*, but *weak* to *moderate* correlation +between regularity and number of iterations. On the other hand in the scenarios +where we increased the number of control--points, namely $125$ for the +$5 \times 5 \times 5$ grid and $216$ for the $6 \times 6 \times 6$ grid we found +a *significant*, but *weak* anti--correlation, which seem to contradict the +findings/trends for the sets with $64$, $80$, and $112$ control--points (first +two rows of table \ref{tab:3dvar}). + +Taking all results together we only find a *very weak*, but *significant* link +between regularity and the number of iterations needed for the algorithm to +converge. + +\begin{figure}[!htb] +\centering +\includegraphics[width=\textwidth]{img/evolution3d/regularity_montage.png} +\caption[Regularity for different 3D--grids]{ +**BLINDTEXT** +} +\label{fig:resreg3d} +\end{figure} + +As can be seen from figure \ref{fig:resreg3d}, we can observe\todo{things}. + +### Improvement Potential + +\begin{figure}[!htb] +\centering +\includegraphics[width=\textwidth]{img/evolution3d/improvement_montage.png} +\caption[Improvement potential for different 3D--grids]{ +**BLINDTEXT** +} +\label{fig:resimp3d} \end{figure} - - - - - - # Schluss \label{sec:dis} diff --git a/arbeit/ma.pdf b/arbeit/ma.pdf index 9fa5a96..085731e 100644 Binary files a/arbeit/ma.pdf and b/arbeit/ma.pdf differ diff --git a/arbeit/ma.tex b/arbeit/ma.tex index bf27361..8680b27 100644 --- a/arbeit/ma.tex +++ b/arbeit/ma.tex @@ -35,6 +35,7 @@ xcolor=dvipsnames, \setlength{\parskip}{12pt plus6pt minus2pt} % dafür abstand zwischen absäzen % \renewcommand{\familydefault}{\sfdefault} \setstretch{1.5} % 1.5-facher zeilenabstand +\renewcommand{\arraystretch}{1.5} % größere Abstände in Tabellen etc. %%%%%%%%%%%%%%% Header - Footer %%%%%%%%%%%%%%% % ### Fr 2 Seitig (option twopage): @@ -172,7 +173,7 @@ Unless otherwise noted the following holds: Many modern industrial design processes require advanced optimization methods due to the increased complexity resulting from more and more degrees of freedom as methods refine and/or other methods are used. -Examples for this are physical domains like aerodynamic (i.e.~drag), +Examples for this are physical domains like aerodynamics (i.e.~drag), fluid dynamics (i.e.~throughput of liquid) --- where the complexity increases with the temporal and spatial resolution of the simulation --- or known hard algorithmic problems in informatics (i.e.~layouting of @@ -191,7 +192,7 @@ representation (the \emph{genome}) can be challenging. This translation is often necessary as the target of the optimization may have too many degrees of freedom. In the example of an aerodynamic -simulation of drag onto an object, those objects--designs tend to have a +simulation of drag onto an object, those object--designs tend to have a high number of vertices to adhere to various requirements (visual, practical, physical, etc.). A simpler representation of the same object in only a few parameters that manipulate the whole in a sensible matter @@ -601,7 +602,7 @@ can be achieved in the given direction. The definition for an \emph{improvement potential} \(P\) is\cite{anrichterEvol}: \[ -P(\vec{U}) := 1 - \|(\vec{1} - \vec{UU}^+)\vec(G)\|^2_F +P(\vec{U}) := 1 - \|(\vec{1} - \vec{UU}^+)\vec{G}\|^2_F \] given some approximate \(n \times d\) fitness--gradient \(\vec{G}\), normalized to \(\|\vec{G}\|_F = 1\), whereby \(\|\cdot\|_F\) denotes the Frobenius--Norm. @@ -728,6 +729,8 @@ system of linear equations. \section{Deformation Grid}\label{deformation-grid} +\label{sec:impl:grid} + As mentioned in chapter \ref{sec:back:evo}, the way of choosing the representation to map the general problem (mesh--fitting/optimization in our case) into a parameter-space it very important for the quality and @@ -744,6 +747,17 @@ control point without having a \(1:1\)--correlation, and a smooth deformation. While the advantages are great, the issues arise from the problem to decide where to place the control--points and how many. +\begin{figure}[!tbh] +\centering +\includegraphics{img/enoughCP.png} +\caption[Example of a high resolution control--grid]{A high resolution +($10 \times 10$) of control--points over a circle. Yellow/green points +contribute to the parametrization, red points don't.\newline +An Example--point (blue) is solely determined by the position of the green +control--points.} +\label{fig:enoughCP} +\end{figure} + One would normally think, that the more control--points you add, the better the result will be, but this is not the case for our B--Splines. Given any point \(p\) only the \(2 \cdot (d-1)\) control--points @@ -754,18 +768,6 @@ that a high resolution can have many control-points that are not contributing to any point on the surface and are thus completely irrelevant to the solution. -\begin{figure}[!ht] -\begin{center} -\includegraphics{img/enoughCP.png} -\end{center} -\caption[Example of a high resolution control--grid]{A high resolution -($10 \times 10$) of control--points over a circle. Yellow/green points -contribute to the parametrization, red points don't.\newline -An Example--point (blue) is solely determined by the position of the green -control--points.} -\label{fig:enoughCP} -\end{figure} - We illustrate this phenomenon in figure \ref{fig:enoughCP}, where the four red central points are not relevant for the parametrization of the circle. @@ -805,14 +807,18 @@ In this scenario we used the shape defined by Giannelli et al.\cite{giannelli2012thb}, which is also used by Richter et al.\cite{anrichterEvol} using the same discretization to \(150 \times 150\) points for a total of \(n = 22\,500\) vertices. The -shape is given by the following definition \[ +shape is given by the following definition + +\begin{equation} t(x,y) = \begin{cases} 0.5 \cos(4\pi \cdot q^{0.5}) + 0.5 & q(x,y) < \frac{1}{16},\\ 2(y-x) & 0 < y-x < 0.5,\\ 1 & 0.5 < y - x \end{cases} -\] with \((x,y) \in [0,2] \times [0,1]\) and +\end{equation} + +with \((x,y) \in [0,2] \times [0,1]\) and \(q(x,y)=(x-1.5)^2 + (y-0.5)^2\), which we have visualized in figure \ref{fig:1dtarget}. @@ -831,9 +837,13 @@ already correct. Regarding the \emph{fitness--function} \(f(\vec{p})\), we use the very simple approach of calculating the squared distances for each -corresponding vertex \[ +corresponding vertex + +\begin{equation} \textrm{f(\vec{p})} = \sum_{i=1}^{n} \|(\vec{Up})_i - t_i\|_2^2 = \|\vec{Up} - \vec{t}\|^2 \rightarrow \min -\] where \(t_i\) are the respective target--vertices to the parametrized +\end{equation} + +where \(t_i\) are the respective target--vertices to the parametrized source--vertices\footnote{The parametrization is encoded in \(\vec{U}\) and the initial position of the control points. See \ref{sec:ffd:adapt}} with the current deformation--parameters @@ -847,6 +857,120 @@ can compute the analytic solution \(\vec{p^{*}} = \vec{U^+}\vec{t}\), yielding us the correct gradient in which the evolutionary optimizer should move. +\section{Test Scenario: 3D Function +Approximation}\label{test-scenario-3d-function-approximation} + +\label{sec:test:3dfa} Opposed to the 1--dimensional scenario before, the +3--dimensional scenario is much more complex --- not only because we +have more degrees of freedom on each control point, but also because the +\emph{fitness--function} we will use has no known analytic solution and +multiple local minima. + +\begin{figure}[ht] +\begin{center} +\includegraphics[width=0.9\textwidth]{img/3dtarget.png} +\end{center} +\caption[3D source and target meshes]{\newline +Left: The sphere we start from with 10\,807 vertices\newline +Right: The face we want to deform the sphere into with 12\,024 vertices.} +\label{fig:3dtarget} +\end{figure} + +First of all we introduce the set up: We have given a triangulated model +of a sphere consisting of \(10\,807\) vertices, that we want to deform +into a the target--model of a face with a total of \(12\,024\) vertices. +Both of these Models can be seen in figure \ref{fig:3dtarget}. + +Opposed to the 1D--case we cannot map the source and target--vertices in +a one--to--one--correspondence, which we especially need for the +approximation of the fitting--error. Hence we state that the error of +one vertex is the distance to the closest vertex of the other model. + +We therefore define the \emph{fitness--function} to be: + +\begin{equation} +f(\vec{P}) = \frac{1}{n} \underbrace{\sum_{i=1}^n \|\vec{c_T(s_i)} - +\vec{s_i}\|_2^2}_{\textrm{source-to-target--distance}} ++ \frac{1}{m} \underbrace{\sum_{i=1}^m \|\vec{c_S(t_i)} - +\vec{t_i}\|_2^2}_{\textrm{target-to-source--distance}} ++ \lambda \cdot \textrm{regularization}(\vec{P}) +\label{eq:fit3d} +\end{equation} + +where \(\vec{c_T(s_i)}\) denotes the target--vertex that is +corresponding to the source--vertex \(\vec{s_i}\) and \(\vec{c_S(t_i)}\) +denotes the source--vertex that corresponds to the target--vertex +\(\vec{t_i}\). Note that the target--vertices are given and fixed by the +target--model of the face we want to deform into, whereas the +source--vertices vary depending on the chosen parameters \(\vec{P}\), as +those get calculated by the previously introduces formula +\(\vec{S} = \vec{UP}\) with \(\vec{S}\) being the \(n \times 3\)--matrix +of source--vertices, \(\vec{U}\) the \(n \times m\)--matrix of +calculated coefficients for the \ac{FFD} --- analog to the 1D case --- +and finally \(\vec{P}\) being the \(m \times 3\)--matrix of the +control--grid defining the whole deformation. + +As regularization-term we add a weighted Laplacian of the deformation +that has been used before by Aschenbach et +al.\cite[Section 3.2]{aschenbach2015} on similar models and was shown to +lead to a more precise fit. The Laplacian + +\begin{equation} +\textrm{regularization}(\vec{P}) = \frac{1}{\sum_i A_i} \sum_{i=1}^n A_i \cdot \left( \sum_{\vec{s_j} \in \mathcal{N}(\vec{s_i})} w_j \cdot \|\Delta \vec{s_j} - \Delta \vec{\overline{s}_j}\|^2 \right) +\label{eq:reg3d} +\end{equation} + +is determined by the cotangent weighted displacement \(w_j\) of the to +\(s_i\) connected vertices \(\mathcal{N}(s_i)\) and \(A_i\) is the +Voronoi--area of the corresponding vertex \(\vec{s_i}\). We leave out +the \(\vec{R}_i\)--term from the original paper as our deformation is +merely linear. + +This regularization--weight gives us a measure of stiffness for the +material that we will influence via the \(\lambda\)--coefficient to +start out with a stiff material that will get more flexible per +iteration. +\unsure[inline]{Andreas: hast du nen cite, wo gezeigt ist, dass das so sinnvoll ist?} + +\chapter{Evaluation of Scenarios}\label{evaluation-of-scenarios} + +\label{sec:res} + +To compare our results to the ones given by Richter et +al.\cite{anrichterEvol}, we also use Spearman's rank correlation +coefficient. Opposed to other popular coefficients, like the Pearson +correlation coefficient, which measures a linear relationship between +variables, the Spearmans's coefficient assesses \glqq how well an +arbitrary monotonic function can descripbe the relationship between two +variables, without making any assumptions about the frequency +distribution of the variables\grqq\cite{hauke2011comparison}. + +As we don't have any prior knowledge if any of the criteria is linear +and we are just interested in a monotonic relation between the criteria +and their predictive power, the Spearman's coefficient seems to fit out +scenario best. + +For interpretation of these values we follow the same interpretation +used in \cite{anrichterEvol}, based on \cite{weir2015spearman}: The +coefficient intervals \(r_S \in [0,0.2[\), \([0.2,0.4[\), \([0.4,0.6[\), +\([0.6,0.8[\), and \([0.8,1]\) are classified as \emph{very weak}, +\emph{weak}, \emph{moderate}, \emph{strong} and \emph{very strong}. We +interpret p--values smaller than \(0.1\) as \emph{significant} and cut +off the precision of p--values after four decimal digits (thus often +having a p--value of \(0\) given for p--values \(< 10^{-4}\)). + +As we are looking for anti--correlation (i.e.~our criterion should be +maximized indicating a minimal result in --- for example --- the +reconstruction--error) instead of correlation we flip the sign of the +correlation--coefficient for readability and to have the +correlation--coefficients be in the classification--range given above. + +For the evolutionary optimization we employ the CMA--ES (covariance +matrix adaptation evolution strategy) of the shark3.1 library +\cite{shark08}, as this algorithm was used by \cite{anrichterEvol} as +well. We leave the parameters at their sensible defaults as further +explained in \cite[Appendix~A: Table~1]{hansen2016cma}. + \section{Procedure: 1D Function Approximation}\label{procedure-1d-function-approximation} @@ -893,155 +1017,6 @@ neighbours (the smaller neighbour for \(r < 0\), the larger for An Example of such a testcase can be seen for a \(7 \times 4\)--grid in figure \ref{fig:example1d_grid}. -\section{Test Scenario: 3D Function -Approximation}\label{test-scenario-3d-function-approximation} - -Opposed to the 1--dimensional scenario before, the 3--dimensional -scenario is much more complex --- not only because we have more degrees -of freedom on each control point, but also because the -\emph{fitness--function} we will use has no known analytic solution and -multiple local minima. - -\begin{figure}[ht] -\begin{center} -\includegraphics[width=0.7\textwidth]{img/3dtarget.png} -\end{center} -\caption[3D source and target meshes]{\newline -Left: The sphere we start from with 10\,807 vertices\newline -Right: The face we want to deform the sphere into with 12\,024 vertices.} -\label{fig:3dtarget} -\end{figure} - -First of all we introduce the set up: We have given a triangulated model -of a sphere consisting of 10,807 vertices, that we want to deform into a -the target--model of a face with a total of 12,024 vertices. Both of -these Models can be seen in figure \ref{fig:3dtarget}. - -Opposed to the 1D--case we cannot map the source and target--vertices in -a one--to--one--correspondence, which we especially need for the -approximation of the fitting--error. Hence we state that the error of -one vertex is the distance to the closest vertex of the other model. - -We therefore define the \emph{fitness--function} to be: \[ -f(\vec{P}) = \frac{1}{n} \underbrace{\sum_{i=1}^n \|\vec{c_T(s_i)} - -\vec{s_i}\|_2^2}_{\textrm{source-to-target--distance}} -+ \frac{1}{m} \underbrace{\sum_{i=1}^m \|\vec{c_S(t_i)} - -\vec{t_i}\|_2^2}_{\textrm{target-to-source--distance}} -+ \lambda \cdot \textrm{regularization}(\vec{P}) -\] where \(\vec{c_T(s_i)}\) denotes the target--vertex that is -corresponding to the source--vertex \(\vec{s_i}\) and \(\vec{c_S(t_i)}\) -denotes the source--vertex that corresponds to the target--vertex -\(\vec{t_i}\). Note that the target--vertices are given and fixed by the -target--model of the face we want to deform into, whereas the -source--vertices vary depending on the chosen parameters \(\vec{P}\), as -those get calculated by the previously introduces formula -\(\vec{S} = \vec{UP}\) with \(\vec{S}\) being the \(n \times 3\)--matrix -of source--vertices, \(\vec{U}\) the \(n \times m\)--matrix of -calculated coefficients for the \ac{FFD} --- analog to the 1D case --- -and finally \(\vec{P}\) being the \(m \times 3\)--matrix of the -control--grid defining the whole deformation. - -As regularization-term we add a weighted Laplacian of the deformation -that has been used before by Aschenbach et -al.\cite[Section 3.2]{aschenbach2015} on similar models and was shown to -lead to a more precise fit. The Laplacian \[ -\textrm{regularization}(\vec{P}) = \frac{1}{\sum_i A_i} \sum_{i=1}^n A_i \cdot \left( \sum_{\vec{s_j} \in \mathcal{N}(\vec{s_i})} w_j \cdot \|\Delta \vec{s_j} - \Delta \vec{\overline{s}_j}\|^2 \right) -\] is determined by the cotangent weighted displacement \(w_j\) of the -to \(s_i\) connected vertices \(\mathcal{N}(s_i)\) and \(A_i\) is the -Voronoi--area of the corresponding vertex \(\vec{s_i}\). We leave out -the \(\vec{R}_i\)--term from the original paper as our deformation is -merely linear. - -This regularization--weight gives us a measure of stiffness for the -material that we will influence via the \(\lambda\)--coefficient to -start out with a stiff material that will get more flexible per -iteration. -\unsure[inline]{Andreas: hast du nen cite, wo gezeigt ist, dass das so sinnvoll ist?} - -\section{Procedure: 3D Function -Approximation}\label{procedure-3d-function-approximation} - -Initially we set up the correspondences \(\vec{c_T(\dots)}\) and -\(\vec{c_S(\dots)}\) to be the respectively closest vertices of the -other model. We then calculate the analytical solution given these -correspondences via \(\vec{P^{*}} = \vec{U^+}\vec{T}\), and also use the -first solution as guessed gradient for the calculation of the -\emph{improvement--potential}, as the optimal solution is not known. We -then let the evolutionary algorithm run up within \(1.05\) times the -error of this solution and afterwards recalculate the correspondences -\(\vec{c_T(\dots)}\) and \(\vec{c_S(\dots)}\). For the next step we then -halve the regularization--impact \(\lambda\) and calculate the next -incremental solution \(\vec{P^{*}} = \vec{U^+}\vec{T}\) with the updated -correspondences to get our next target--error. We repeat this process as -long as the target--error keeps decreasing. - -\begin{figure}[ht] -\begin{center} -\includegraphics[width=\textwidth]{img/example3d_grid.png} -\end{center} -\caption[Example of a 3D--grid]{\newline Left: The 3D--setup with a $4\times -4\times 4$--grid.\newline Right: The same grid after added noise to the -control--points.} -\label{fig:setup3d} -\end{figure} - -The grid we use for our experiments is just very coarse due to -computational limitations. We are not interested in a good -reconstruction, but an estimate if the mentioned evolvability criteria -are good. - -In figure \ref{fig:setup3d} we show an example setup of the scene with a -\(4\times 4\times 4\)--grid. Identical to the 1--dimensional scenario -before, we create a regular grid and move the control-points uniformly -random between their neighbours, but in three instead of two -dimensions\footnote{Again, we flip the signs for the edges, if necessary - to have the object still in the convex hull.}. - -As is clearly visible from figure \ref{fig:3dtarget}, the target--model -has many vertices in the facial area, at the ears and in the -neck--region. Therefore we chose to increase the grid-resolutions for -our tests in two different dimensions and see how well the criteria -predict a suboptimal placement of these control-points. - -\chapter{Evaluation of Scenarios}\label{evaluation-of-scenarios} - -\label{sec:res} - -To compare our results to the ones given by Richter et -al.\cite{anrichterEvol}, we also use Spearman's rank correlation -coefficient. Opposed to other popular coefficients, like the Pearson -correlation coefficient, which measures a linear relationship between -variables, the Spearmans's coefficient assesses \glqq how well an -arbitrary monotonic function can descripbe the relationship between two -variables, without making any assumptions about the frequency -distribution of the variables\grqq\cite{hauke2011comparison}. - -As we don't have any prior knowledge if any of the criteria is linear -and we are just interested in a monotonic relation between the criteria -and their predictive power, the Spearman's coefficient seems to fit out -scenario best. - -For interpretation of these values we follow the same interpretation -used in \cite{anrichterEvol}, based on \cite{weir2015spearman}: The -coefficient intervals \(r_S \in [0,0.2[\), \([0.2,0.4[\), \([0.4,0.6[\), -\([0.6,0.8[\), and \([0.8,1]\) are classified as \emph{very weak}, -\emph{weak}, \emph{moderate}, \emph{strong} and \emph{very strong}. We -interpret p--values smaller than \(0.1\) as \emph{significant} and cut -off the precision of p--values after four decimal digits (thus often -having a p--value of \(0\) given for p--values \(< 10^{-4}\)). - -As we are looking for anti--correlation (i.e.~our criterion should be -maximized indicating a minimal result in --- for example --- the -reconstruction--error) instead of correlation we flip the sign of the -correlation--coefficient for readability and to have the -correlation--coefficients be in the classification--range given above. - -For the evolutionary optimization we employ the CMA--ES (covariance -matrix adaptation evolution strategy) of the shark3.1 library -\cite{shark08}, as this algorithm was used by \cite{anrichterEvol} as -well. We leave the parameters at their sensible defaults as further -explained in \cite[Appendix~A: Table~1]{hansen2016cma}. - \section{Results of 1D Function Approximation}\label{results-of-1d-function-approximation} @@ -1072,7 +1047,7 @@ resolution of the grid by taking a closer look at \(5 \times 5\), \caption[1D Fitting Errors for various grids]{The squared error for the various grids we examined.\newline Note that $7 \times 4$ and $4 \times 7$ have the same number of control--points.} -\label{fig:1dfiterr} +\label{fig:1dvar} \end{figure} \subsection{Variability}\label{variability-1} @@ -1083,7 +1058,7 @@ deformation matrix \(\vec{U}\): \(V(\vec{U}) := \frac{\textrm{rank}(\vec{U})}{n}\), whereby \(n\) is the number of vertices. As all our tested matrices had a constant rank (being \(m = x \cdot y\) for a \(x \times y\) grid), we have merely -plotted the errors in the boxplot in figure \ref{fig:1dfiterr} +plotted the errors in the boxplot in figure \ref{fig:1dvar} It is also noticeable, that although the \(7 \times 4\) and \(4 \times 7\) grids have a higher variability, they perform not better @@ -1102,21 +1077,6 @@ variability and the evolutionary error. \subsection{Regularity}\label{regularity-1} -\begin{table}[bht] -\centering -\begin{tabular}{c|c|c|c|c} -$5 \times 5$ & $7 \times 4$ & $4 \times 7$ & $7 \times 7$ & $10 \times 10$\\ -\hline -$0.28$ ($0.0045$) & \textcolor{red}{$0.21$} ($0.0396$) & \textcolor{red}{$0.1$} ($0.3019$) & \textcolor{red}{$0.01$} ($0.9216$) & \textcolor{red}{$0.01$} ($0.9185$) -\end{tabular} -\caption[Correlation 1D Regularity/Steps]{Spearman's correlation (and p-values) -between regularity and convergence speed for the 1D function approximation -problem.\newline -Not significant entries are marked in red. -} -\label{tab:1dreg} -\end{table} - \begin{figure}[ht] \centering \includegraphics[width=\textwidth]{img/evolution1d/55_to_1010_steps.png} @@ -1128,6 +1088,21 @@ dataset.} \label{fig:1dreg} \end{figure} +\begin{table}[b] +\centering +\begin{tabular}{c|c|c|c|c} +$5 \times 5$ & $7 \times 4$ & $4 \times 7$ & $7 \times 7$ & $10 \times 10$\\ +\hline +$0.28$ ($0.0045$) & \textcolor{red}{$0.21$} ($0.0396$) & \textcolor{red}{$0.1$} ($0.3019$) & \textcolor{red}{$0.01$} ($0.9216$) & \textcolor{red}{$0.01$} ($0.9185$) +\end{tabular} +\caption[Correlation 1D Regularity/Steps]{Spearman's correlation (and p-values) +between regularity and convergence speed for the 1D function approximation +problem. +\newline Note: Not significant results are marked in \textcolor{red}{red}. +} +\label{tab:1dreg} +\end{table} + Regularity should correspond to the convergence speed (measured in iteration--steps of the evolutionary algorithm), and is computed as inverse condition number \(\kappa(\vec{U})\) of the deformation--matrix. @@ -1145,17 +1120,12 @@ improvement-potential against the steps next to the regularity--plot. Our theory is that the \emph{very strong} correlation (\(-r_S = -0.82, p=0\)) between improvement--potential and number of iterations hints that the employed algorithm simply takes longer to -converge on a better solution (as seen in figure \ref{fig:1dimp}) -offsetting any gain the regularity--measurement could achieve. +converge on a better solution (as seen in figure \ref{fig:1dvar} and +\ref{fig:1dimp}) offsetting any gain the regularity--measurement could +achieve. \subsection{Improvement Potential}\label{improvement-potential-1} -\begin{itemize} -\tightlist -\item - Alle Spearman 1 und p-value 0. -\end{itemize} - \begin{figure}[ht] \centering \includegraphics[width=0.8\textwidth]{img/evolution1d/55_to_1010_improvement-vs-evo-error.png} @@ -1165,22 +1135,265 @@ grid--resolutions} \label{fig:1dimp} \end{figure} +\improvement[inline]{write something about it..} + +\begin{itemize} +\tightlist +\item + spearman 1 (p=0) +\item + gradient macht keinen unterschied +\item + \(UU^+\) scheint sehr kleine EW zu haben, s. regularität +\item + trotzdem sehr gutes kriterium - auch ohne Richtung. +\end{itemize} + +\section{Procedure: 3D Function +Approximation}\label{procedure-3d-function-approximation} + +\label{sec:proc:3dfa} + +As explained in section \ref{sec:test:3dfa} in detail, we do not know +the analytical solution to the global optimum. Additionally we have the +problem of finding the right correspondences between the original +sphere--model and the target--model, as they consist of \(10\,807\) and +\(12\,024\) vertices respectively, so we cannot make a +one--to--one--correspondence between them as we did in the +one--dimensional case. + +Initially we set up the correspondences \(\vec{c_T(\dots)}\) and +\(\vec{c_S(\dots)}\) to be the respectively closest vertices of the +other model. We then calculate the analytical solution given these +correspondences via \(\vec{P^{*}} = \vec{U^+}\vec{T}\), and also use the +first solution as guessed gradient for the calculation of the +\emph{improvement--potential}, as the optimal solution is not known. We +then let the evolutionary algorithm run up within \(1.05\) times the +error of this solution and afterwards recalculate the correspondences +\(\vec{c_T(\dots)}\) and \(\vec{c_S(\dots)}\). + +\begin{figure}[ht] +\begin{center} +\includegraphics[width=\textwidth]{img/example3d_grid.png} +\end{center} +\caption[Example of a 3D--grid]{\newline Left: The 3D--setup with a $4\times +4\times 4$--grid.\newline Right: The same grid after added noise to the +control--points.} +\label{fig:setup3d} +\end{figure} + +For the next step we then halve the regularization--impact \(\lambda\) +(starting at \(1\)) of our \emph{fitness--function} (\ref{eq:fit3d}) and +calculate the next incremental solution +\(\vec{P^{*}} = \vec{U^+}\vec{T}\) with the updated correspondences to +get our next target--error. We repeat this process as long as the +target--error keeps decreasing and use the number of these iterations as +measure of the convergence speed. As the resulting evolutional error +without regularization is in the numeric range of \(\approx 100\), +whereas the regularization is numerically \(\approx 7000\) we need at +least \(10\) to \(15\) iterations until the regularization--effect wears +off. + +The grid we use for our experiments is just very coarse due to +computational limitations. We are not interested in a good +reconstruction, but an estimate if the mentioned evolvability criteria +are good. + +In figure \ref{fig:setup3d} we show an example setup of the scene with a +\(4\times 4\times 4\)--grid. Identical to the 1--dimensional scenario +before, we create a regular grid and move the control-points \todo{wie?} +random between their neighbours, but in three instead of two +dimensions\footnote{Again, we flip the signs for the edges, if necessary + to have the object still in the convex hull.}. + +\begin{figure}[!htb] +\includegraphics[width=\textwidth]{img/3d_grid_resolution.png} +\caption[Different resolution of 3D grids]{\newline +Left: A $7 \times 4 \times 4$ grid suited to better deform into facial +features.\newline +Right: A $4 \times 4 \times 7$ grid that we expect to perform worse.} +\label{fig:3dgridres} +\end{figure} + +As is clearly visible from figure \ref{fig:3dgridres}, the target--model +has many vertices in the facial area, at the ears and in the +neck--region. Therefore we chose to increase the grid-resolutions for +our tests in two different dimensions and see how well the criteria +predict a suboptimal placement of these control-points. + \section{Results of 3D Function Approximation}\label{results-of-3d-function-approximation} -\begin{figure}[!ht] -\includegraphics[width=\textwidth]{img/evolution3d/4x4xX_montage.png} -\caption{Results 3D for 4x4xX} +In the 3D--Approximation we tried to evaluate further on the impact of +the grid--layout to the overall criteria. As the target--model has many +vertices in concentrated in the facial area we start from a +\(4 \times 4 \times 4\) grid and only increase the number of control +points in one dimension, yielding a resolution of +\(7 \times 4 \times 4\) and \(4 \times 4 \times 7\) respectively. We +visualized those two grids in figure \ref{fig:3dgridres}. + +To evaluate the performance of the evolvability--criteria we also tested +a more neutral resolution of \(4 \times 4 \times 4\), +\(5 \times 5 \times 5\), and \(6 \times 6 \times 6\) --- similar to the +1D--setup. + +\begin{figure}[ht] +\centering +\includegraphics[width=0.7\textwidth]{img/evolution3d/variability_boxplot.png} +\caption[3D Fitting Errors for various grids]{The fitting error for the various +grids we examined.\newline +Note that the number of control--points is a product of the resolution, so $X +\times 4 \times 4$ and $4 \times 4 \times X$ have the same number of +control--points.} +\label{fig:3dvar} \end{figure} -\begin{figure}[!ht] -\includegraphics[width=\textwidth]{img/evolution3d/Xx4x4_montage.png} -\caption{Results 3D for Xx4x4} +\subsection{Variability}\label{variability-2} + +\begin{table}[tbh] +\centering +\begin{tabular}{c|c|c|c} +$4 \times 4 \times \mathrm{X}$ & $\mathrm{X} \times 4 \times 4$ & $\mathrm{Y} \times \mathrm{Y} \times \mathrm{Y}$ & all \\ +\hline +0.89 (0) & 0.9 (0) & 0.91 (0) & 0.94 (0) +\end{tabular} +\caption[Correlation between variability and fitting error for 3D]{Correlation +between variability and fitting error for the 3D fitting scenario.\newline +Displayed are the negated Spearman coefficients with the corresponding p-values +in brackets for three cases of increasing variability ($\mathrm{X} \in [4,5,7], +\mathrm{Y} \in [4,5,6]$). +\newline Note: Not significant results are marked in \textcolor{red}{red}.} +\label{tab:3dvar} +\end{table} + +Similar to the 1D case all our tested matrices had a constant rank +(being \(m = x \cdot y \cdot z\) for a \(x \times y \times z\) grid), so +we again have merely plotted the errors in the boxplot in figure +\ref{fig:3dvar}. + +As expected the \(\mathrm{X} \times 4 \times 4\) grids performed +slightly better than their \(4 \times 4 \times \mathrm{X}\) counterparts +with a mean\(\pm\)sigma of \(101.25 \pm 7.45\) to \(102.89 \pm 6.74\) +for \(\mathrm{X} = 5\) and \(85.37 \pm 7.12\) to \(89.22 \pm 6.49\) for +\(\mathrm{X} = 7\). + +Interestingly both variants end up closer in terms of fitting error than +we anticipated, which shows that the evolutionary algorithm we employed +is capable of correcting a purposefully created \glqq bad\grqq ~grid. +Also this confirms, that in our cases the number of control--points is +more important for quality than their placement, which is captured by +the variability via the rank of the deformation--matrix. + +\begin{figure}[hbt] +\centering +\includegraphics[width=0.8\textwidth]{img/evolution3d/variability2_boxplot.png} +\caption[Histogram of ranks of high--resolution deformation--matrices]{ +Histogram of ranks of various $10 \times 10 \times 10$ grids. +} +\label{fig:histrank3d} \end{figure} -\begin{figure}[!ht] -\includegraphics[width=\textwidth]{img/evolution3d/YxYxY_montage.png} -\caption{Results 3D for YxYxY for Y $\in [4,5,6]$} +Overall the correlation between variability and fitness--error were +\emph{significantly} and showed a \emph{very strong} correlation in all +our tests. The detailed correlation--coefficients are given in table +\ref{tab:3dvar} alongside their p--values. + +As introduces in section \ref{sec:impl:grid} and visualized in figure +\ref{fig:enoughCP}, we know, that not all control points have to +necessarily contribute to the parametrization of our 3D--model. Because +we are starting from a sphere, some control-points are too far away from +the surface to contribute to the deformation at all. + +One can already see in 2D in figure \ref{fig:enoughCP}, that this effect +starts with a regular \(9 \times 9\) grid on a perfect circle. To make +sure we observe this, we evaluated the variability for 100 randomly +moved \(10 \times 10 \times 10\) grids on the sphere we start out with. + +As the variability is defined by \(\frac{\mathrm{rank}(\vec{U})}{n}\) we +can easily recover the rank of the deformation--matrix \(\vec{U}\). The +results are shown in the histogram in figure \ref{fig:histrank3d}. +Especially in the centre of the sphere and in the corners of our grid we +effectively loose control--points for our parametrization. + +This of course yields a worse error as when those control--points would +be put to use and one should expect a loss in quality evident by a +higher reconstruction--error opposed to a grid where they are used. +Sadly we could not run a in--depth test on this due to computational +limitations. + +Nevertheless this hints at the notion, that variability is a good +measure for the overall quality of a fit. + +\subsection{Regularity}\label{regularity-2} + +\begin{table}[tbh] +\centering +\begin{tabular}{c|c|c|c} + & $5 \times 4 \times 4$ & $7 \times 4 \times 4$ & $\mathrm{X} \times 4 \times 4$ \\ +\cline{2-4} + & \textcolor{red}{0.15} (0.147) & \textcolor{red}{0.09} (0.37) & 0.46 (0) \B \\ +\cline{2-4} +\multicolumn{4}{c}{} \\[-1.4em] +\hline +$4 \times 4 \times 4$ & $4 \times 4 \times 5$ & $4 \times 4 \times 7$ & $4 \times 4 \times \mathrm{X}$ \T \\ +\hline +0.38 (0) & \textcolor{red}{0.17} (0.09) & 0.40 (0) & 0.46 (0) \B \\ +\hline +\multicolumn{4}{c}{} \\[-1.4em] +\cline{2-4} + & $5 \times 5 \times 5$ & $6 \times 6 \times 6$ & $\mathrm{Y} \times \mathrm{Y} \times \mathrm{Y}$ \T \\ +\cline{2-4} + & \textcolor{red}{-0.18} (0.0775) & \textcolor{red}{-0.13} (0.1715) & -0.25 (0) \B \\ +\cline{2-4} +\multicolumn{4}{c}{} \\[-1.4em] +\cline{2-4} +\multicolumn{3}{c}{} & all: 0.15 (0) \T +\end{tabular} +\caption[Correlation between regularity and iterations for 3D]{Correlation +between regularity and number of iterations for the 3D fitting scenario. +Displayed are the negated Spearman coefficients with the corresponding p--values +in brackets for various given grids ($\mathrm{X} \in [4,5,7], \mathrm{Y} \in [4,5,6]$). +\newline Note: Not significant results are marked in \textcolor{red}{red}.} +\label{tab:3dvar} +\end{table} + +Opposed to the predictions of variability our test on regularity gave a +mixed result --- similar to the 1D--case. + +In half scenarios we have a \emph{significant}, but \emph{weak} to +\emph{moderate} correlation between regularity and number of iterations. +On the other hand in the scenarios where we increased the number of +control--points, namely \(125\) for the \(5 \times 5 \times 5\) grid and +\(216\) for the \(6 \times 6 \times 6\) grid we found a +\emph{significant}, but \emph{weak} anti--correlation, which seem to +contradict the findings/trends for the sets with \(64\), \(80\), and +\(112\) control--points (first two rows of table \ref{tab:3dvar}). + +Taking all results together we only find a \emph{very weak}, but +\emph{significant} link between regularity and the number of iterations +needed for the algorithm to converge. + +\begin{figure}[!htb] +\centering +\includegraphics[width=\textwidth]{img/evolution3d/regularity_montage.png} +\caption[Regularity for different 3D--grids]{ +**BLINDTEXT** +} +\label{fig:resreg3d} +\end{figure} + +As can be seen from figure \ref{fig:resreg3d}, we can +observe\todo{things}. + +\subsection{Improvement Potential}\label{improvement-potential-2} + +\begin{figure}[!htb] +\centering +\includegraphics[width=\textwidth]{img/evolution3d/improvement_montage.png} +\caption[Improvement potential for different 3D--grids]{ +**BLINDTEXT** +} +\label{fig:resimp3d} \end{figure} \chapter{Schluss}\label{schluss} diff --git a/arbeit/settings/commands.tex b/arbeit/settings/commands.tex index 90f2952..0735a28 100644 --- a/arbeit/settings/commands.tex +++ b/arbeit/settings/commands.tex @@ -95,6 +95,9 @@ % % \renewcommand{\arraystretch}{1.2} % Tabellenzeilen ein bischen h?her machen. % \newcommand\m[2]{\multirow{#1}{*}{$#2$}} +\newcommand\T{\rule{0pt}{2.6ex}} % Top strut +\newcommand\B{\rule[-1.2ex]{0pt}{0pt}} % Bottom strut + % ##### Text symbole ##### % \newcommand\subdot[1]{\lower0.5em\hbox{$\stackrel{\displaystyle #1}{.}$}} % \newcommand\subsubdot[1]{\lower0.5em\hbox{$\stackrel{#1}{.}$}} diff --git a/arbeit/template.tex b/arbeit/template.tex index f88f55b..71580c1 100644 --- a/arbeit/template.tex +++ b/arbeit/template.tex @@ -35,6 +35,7 @@ xcolor=dvipsnames, \setlength{\parskip}{12pt plus6pt minus2pt} % dafür abstand zwischen absäzen % \renewcommand{\familydefault}{\sfdefault} \setstretch{1.5} % 1.5-facher zeilenabstand +\renewcommand{\arraystretch}{1.5} % größere Abstände in Tabellen etc. %%%%%%%%%%%%%%% Header - Footer %%%%%%%%%%%%%%% % ### Fr 2 Seitig (option twopage): diff --git a/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.csv b/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.csv index 9b46a77..bfc3bb4 100644 --- a/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.csv +++ b/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.csv @@ -1,101 +1,101 @@ regularity,variability,improvement,"Evolution error",steps -6.57581e-05,0.00592209,0.622392,113.016.,2368 -5.16451e-05,0.00592209,0.610293,118.796.,2433 -6.45083e-05,0.00592209,0.592139,127.157.,1655 -7.14801e-05,0.00592209,0.624039,121.613.,1933 -5.62707e-05,0.00592209,0.611091,119.539.,2618 -5.55953e-05,0.00592209,0.625812,119.512.,2505 -5.96026e-05,0.00592209,0.622873,118.285.,1582 -6.63676e-05,0.00592209,0.602386,126.579.,2214 -5.93125e-05,0.00592209,0.608913,122.512.,2262 -6.05066e-05,0.00592209,0.621467,118.473.,2465 -6.42976e-05,0.00592209,0.602593,121.998.,2127 -5.32868e-05,0.00592209,0.616501,115.313.,2746 -5.47856e-05,0.00592209,0.615173,118.034.,2148 -6.47209e-05,0.00592209,0.603935,120.003.,2304 -7.07812e-05,0.00592209,0.620422,123.494.,1941 -6.49313e-05,0.00592209,0.616232,122.989.,2214 -6.64295e-05,0.00592209,0.605206,123.757.,1675 -5.88806e-05,0.00592209,0.628055,110.67.,2230 -7.56461e-05,0.00592209,0.625361,121.232.,2187 -4.932e-05,0.00592209,0.612261,120.979.,2280 -5.45998e-05,0.00592209,0.61935,115.394.,2380 -6.10654e-05,0.00592209,0.614029,116.928.,2327 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+115.346 +119.055 +117.452 +123.379 +115.053 +123.994 +118.576 +116.894 +120.129 +126.708 +114.595 +120.056 +122.057 +116.846 +124.35 +118.43 +116.574 +128.474 +111.111 +120.004 +119.866 +119.676 +128.957 +108.467 +123.353 +123.301 +114.838 +118.611 +109.616 +113.565 +120.01 +125.441 +122.541 +123.169 +117.344 +112.674 +118.787 +112.061 +110.262 +116.504 +109.607 +122.198 +124.527 +120.886 +119.176 +121.081 +121.038 +112.392 +121.148 +117.053 +123.651 +128.446 +115.527 +121.456 +127.418 +113.541 +116.805 +123.244 +123.095 +115.9 +124.024 +114.685 +113.428 +117.456 +122.15 +124.576 +113.63 +126.608 +129.916 +119.673 +116.233 +125.086 +112.897 diff --git a/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.mms b/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.mms new file mode 100644 index 0000000..1b20747 --- /dev/null +++ b/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing 20170926_3dFit_4x4x4_100times.csv" +[1] "Mean:" +[1] 119.1789 +[1] "Median:" +[1] 119.5255 +[1] "Sigma:" +[1] 4.97234 +[1] "Range:" +[1] 108.467 129.916 diff --git a/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.spearman b/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.spearman new file mode 100644 index 0000000..1cb7df7 --- /dev/null +++ b/dokumentation/evolution3d/20170926_3dFit_4x4x4_100times.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20170926_3dFit_4x4x4_100times.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.0 -0.5 +y -0.5 1.0 + +n= 100 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 0.37 +y 0.37 1.00 + +n= 100 + + +P + x y +x 2e-04 +y 2e-04 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.38 +y -0.38 1.00 + +n= 100 + + +P + x y +x 0 +y 0 +[1] "spearman for variability vs. evolution-error" + x y +x 1 NaN +y NaN 1 + +n= 100 + + +P + x y +x +y diff --git 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+[1] "Median:" +[1] 76.541 +[1] "Sigma:" +[1] 7.023404 +[1] "Range:" +[1] 60.0022 97.4154 diff --git a/dokumentation/evolution3d/20170926_3dFit_5x5x5_100times.spearman b/dokumentation/evolution3d/20170926_3dFit_5x5x5_100times.spearman new file mode 100644 index 0000000..2ce192d --- /dev/null +++ b/dokumentation/evolution3d/20170926_3dFit_5x5x5_100times.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20170926_3dFit_5x5x5_100times.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.47 +y -0.47 1.00 + +n= 100 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 0.36 +y 0.36 1.00 + +n= 100 + + +P + x y +x 3e-04 +y 3e-04 +[1] "spearman for regularity vs. steps" + x y +x 1.00 0.18 +y 0.18 1.00 + +n= 100 + + +P + x y +x 0.0775 +y 0.0775 +[1] "spearman for variability vs. evolution-error" + x y +x 1 NaN +y NaN 1 + +n= 100 + + +P + x y +x +y diff --git a/dokumentation/evolution3d/20171005_3dFit_4x4x5_100times.csv 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@@ -0,0 +1,101 @@ +"Evolution error +104.911 +102.122 +100.463 +111.329 +104.712 +100.048 +102.05 +98.3549 +93.4038 +104.028 +102.965 +102.822 +97.9662 +100.341 +109.73 +99.6362 +113.29 +112.572 +86.3175 +91.637 +107.27 +110.797 +99.0484 +94.2222 +104.417 +96.4144 +108.23 +98.5045 +93.4554 +110.564 +104.082 +95.1024 +100.132 +102.451 +116.302 +98.5173 +104.428 +104.909 +106.289 +106.708 +108.022 +97.8253 +114.829 +115.054 +106.6 +105.157 +93.2856 +98.8994 +117.524 +97.0705 +95.9897 +104.384 +104.01 +104.585 +98.8101 +104.262 +95.1758 +109.61 +96.3427 +106.331 +103.753 +106.698 +97.9397 +106.656 +102.299 +104.71 +99.6516 +85.3402 +103.875 +99.7871 +99.823 +110.554 +114.952 +99.7046 +96.1227 +94.9822 +109.207 +106.855 +110.589 +96.4926 +104.201 +95.364 +95.9782 +109.152 +99.7984 +106.249 +91.3925 +102.095 +108.615 +100.235 +102.616 +114.163 +107.106 +94.8621 +91.0518 +112.361 +119.675 +102.147 +103.006 +104.759 diff --git a/dokumentation/evolution3d/20171005_3dFit_4x4x5_100times.mms b/dokumentation/evolution3d/20171005_3dFit_4x4x5_100times.mms new file mode 100644 index 0000000..1308727 --- /dev/null +++ b/dokumentation/evolution3d/20171005_3dFit_4x4x5_100times.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing 20171005_3dFit_4x4x5_100times.csv" +[1] "Mean:" +[1] 102.8913 +[1] "Median:" +[1] 102.9855 +[1] "Sigma:" +[1] 6.740435 +[1] "Range:" +[1] 85.3402 119.6750 diff --git a/dokumentation/evolution3d/20171005_3dFit_4x4x5_100times.spearman b/dokumentation/evolution3d/20171005_3dFit_4x4x5_100times.spearman new file mode 100644 index 0000000..1a07fd3 --- /dev/null +++ b/dokumentation/evolution3d/20171005_3dFit_4x4x5_100times.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20171005_3dFit_4x4x5_100times.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.38 +y -0.38 1.00 + +n= 100 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 0.27 +y 0.27 1.00 + +n= 100 + + +P + x y +x 0.0066 +y 0.0066 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.17 +y -0.17 1.00 + +n= 100 + + +P + x y +x 0.09 +y 0.09 +[1] "spearman for variability vs. evolution-error" + x y +x 1 NaN +y NaN 1 + +n= 100 + + +P + x y +x +y diff --git a/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.csv b/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.csv index 1b696f9..2a179ea 100644 --- a/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.csv +++ b/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.csv @@ -1,101 +1,101 @@ regularity,variability,improvement,"Evolution error",steps -6.90773e-05,0.0103637,0.696191,105.032.,341 -7.57369e-05,0.0103637,0.693269,91.0336.,459 -5.95909e-05,0.0103637,0.712521,74.0894.,1033 -4.89834e-05,0.0103637,0.705441,77.0829.,794 -8.55427e-05,0.0103637,0.706556,84.9413.,770 -6.69145e-05,0.0103637,0.694754,103.909.,501 -8.78648e-05,0.0103637,0.697778,88.0771.,1023 -4.89849e-05,0.0103637,0.693094,93.4708.,847 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index 0000000..a3700f4 --- /dev/null +++ b/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing 20171005_3dFit_7x4x4_100times.csv" +[1] "Mean:" +[1] 85.37222 +[1] "Median:" +[1] 84.7745 +[1] "Sigma:" +[1] 7.117153 +[1] "Range:" +[1] 72.2744 105.0320 diff --git a/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.spearman b/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.spearman new file mode 100644 index 0000000..699d6ea --- /dev/null +++ b/dokumentation/evolution3d/20171005_3dFit_7x4x4_100times.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20171005_3dFit_7x4x4_100times.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.23 +y -0.23 1.00 + +n= 100 + + +P + x y +x 0.0233 +y 0.0233 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 0.06 +y 0.06 1.00 + +n= 100 + + +P + x y +x 0.5405 +y 0.5405 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.09 +y -0.09 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b/dokumentation/evolution3d/20171007_3dFit_all.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20171007_3dFit_all.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.92 +y -0.92 1.00 + +n= 400 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 -0.67 +y -0.67 1.00 + +n= 400 + + +P + x y +x 0 +y 0 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.09 +y -0.09 1.00 + +n= 400 + + +P + x y +x 0.0863 +y 0.0863 +[1] "spearman for variability vs. evolution-error" + x y +x 1.00 -0.91 +y -0.91 1.00 + +n= 400 + + +P + x y +x 0 +y 0 diff --git a/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.csv b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.csv index 0b5d854..965b387 100644 --- a/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.csv +++ b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.csv @@ -1,101 +1,101 @@ regularity,variability,improvement,"Evolution error",steps 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-8.91618e-05,0.0103637,0.695836,85.7044.,1825 -5.86723e-05,0.0103637,0.695234,90.0389.,1775 -0.000124082,0.0103637,0.693874,90.6256.,1832 -7.59202e-05,0.0103637,0.695028,86.5225.,1412 -9.78369e-05,0.0103637,0.691068,93.0686.,1522 -0.000133166,0.0103637,0.70704,86.9607.,2158 -6.94058e-05,0.0103637,0.687931,91.6042.,2246 -6.23195e-05,0.0103637,0.686537,100.349.,1409 -5.2505e-05,0.0103637,0.695303,78.4994.,3239 -0.000118392,0.0103637,0.689132,89.8504.,1612 -9.63249e-05,0.0103637,0.687783,83.6403.,2080 -5.99358e-05,0.0103637,0.690797,101.654.,1713 -7.13858e-05,0.0103637,0.696033,99.3329.,1566 -8.29146e-05,0.0103637,0.694109,92.788.,1932 -6.941e-05,0.0103637,0.689276,83.6513.,2264 -7.01229e-05,0.0103637,0.685375,85.7803.,2056 -6.00461e-05,0.0103637,0.694496,83.9198.,2334 -7.17098e-05,0.0103637,0.691257,97.1194.,1678 -5.56866e-05,0.0103637,0.693604,86.66.,3172 -8.57536e-05,0.0103637,0.696875,95.519.,1736 -5.44961e-05,0.0103637,0.705914,94.3315.,2152 -0.00010223,0.0103637,0.696688,89.9138.,1796 -8.7968e-05,0.0103637,0.70126,89.7127.,1584 -5.85877e-05,0.0103637,0.685943,88.7631.,2666 -8.37385e-05,0.0103637,0.687253,86.5084.,1413 -6.09753e-05,0.0103637,0.684085,93.2268.,2400 -6.68336e-05,0.0103637,0.695989,86.4354.,2138 -7.2593e-05,0.0103637,0.687196,91.7037.,1767 -7.43132e-05,0.0103637,0.68878,89.9394.,1454 -6.50205e-05,0.0103637,0.694766,82.762.,2376 -6.27443e-05,0.0103637,0.689244,81.379.,2775 -9.78857e-05,0.0103637,0.6923,80.2224.,2365 -5.53248e-05,0.0103637,0.690217,79.8926.,3130 -8.19988e-05,0.0103637,0.680978,95.5281.,1393 -8.39435e-05,0.0103637,0.696348,87.6941.,1657 -7.80363e-05,0.0103637,0.688069,101.649.,1615 -0.000108058,0.0103637,0.703279,85.3415.,2047 -8.591e-05,0.0103637,0.70373,86.2938.,2134 -0.000100807,0.0103637,0.688379,101.265.,1184 -6.81251e-05,0.0103637,0.690025,84.5136.,1942 -0.000100306,0.0103637,0.694876,90.5252.,1811 -7.43149e-05,0.0103637,0.681349,90.4494.,2383 -6.54223e-05,0.0103637,0.691461,94.5348.,1662 -4.00803e-05,0.0103637,0.697672,77.2599.,2960 -7.43768e-05,0.0103637,0.686236,89.5657.,2487 -0.000116654,0.0103637,0.703829,78.0427.,2381 -4.85051e-05,0.0103637,0.685997,91.3327.,2003 -5.55332e-05,0.0103637,0.691656,116.609.,1170 -6.60943e-05,0.0103637,0.693062,83.6798.,1744 -5.83277e-05,0.0103637,0.692641,89.0655.,2169 -9.19515e-05,0.0103637,0.696555,82.225.,2525 -8.81229e-05,0.0103637,0.68317,90.5327.,2012 -5.85726e-05,0.0103637,0.692007,78.9694.,2646 -9.00751e-05,0.0103637,0.696617,83.061.,2168 -9.74536e-05,0.0103637,0.701995,97.7498.,1565 -8.15851e-05,0.0103637,0.693622,87.9928.,1602 -0.000105786,0.0103637,0.702003,83.4737.,1711 +7.33021e-05,0.0103637,0.695354,85.1149,1998 +9.86305e-05,0.0103637,0.696996,82.2095,2127 +9.13367e-05,0.0103637,0.699654,93.8283,1339 +5.75201e-05,0.0103637,0.685872,99.4121,1936 +8.29441e-05,0.0103637,0.689831,84.7928,1570 +8.37538e-05,0.0103637,0.687731,89.4784,1535 +7.72656e-05,0.0103637,0.692668,98.0445,1478 +5.69885e-05,0.0103637,0.686888,82.4413,2455 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+9.48859e-05,0.0103637,0.707829,80.9192,1809 +5.9123e-05,0.0103637,0.692679,88.0159,2308 +0.000104426,0.0103637,0.687809,92.5849,1592 +7.17017e-05,0.0103637,0.688038,95.6485,1590 +9.04185e-05,0.0103637,0.696046,82.6378,2400 +8.52955e-05,0.0103637,0.68677,86.2912,1972 +6.0231e-05,0.0103637,0.692419,87.6295,2138 +6.19528e-05,0.0103637,0.677021,93.7818,2474 +4.86728e-05,0.0103637,0.695779,81.2872,1966 +0.000112679,0.0103637,0.683283,92.884,1525 +3.35026e-05,0.0103637,0.693536,85.1577,2834 +0.000111562,0.0103637,0.701278,82.4601,1494 +5.60467e-05,0.0103637,0.693734,88.7562,2850 +8.91618e-05,0.0103637,0.695836,85.7044,1825 +5.86723e-05,0.0103637,0.695234,90.0389,1775 +0.000124082,0.0103637,0.693874,90.6256,1832 +7.59202e-05,0.0103637,0.695028,86.5225,1412 +9.78369e-05,0.0103637,0.691068,93.0686,1522 +0.000133166,0.0103637,0.70704,86.9607,2158 +6.94058e-05,0.0103637,0.687931,91.6042,2246 +6.23195e-05,0.0103637,0.686537,100.349,1409 +5.2505e-05,0.0103637,0.695303,78.4994,3239 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+9.78857e-05,0.0103637,0.6923,80.2224,2365 +5.53248e-05,0.0103637,0.690217,79.8926,3130 +8.19988e-05,0.0103637,0.680978,95.5281,1393 +8.39435e-05,0.0103637,0.696348,87.6941,1657 +7.80363e-05,0.0103637,0.688069,101.649,1615 +0.000108058,0.0103637,0.703279,85.3415,2047 +8.591e-05,0.0103637,0.70373,86.2938,2134 +0.000100807,0.0103637,0.688379,101.265,1184 +6.81251e-05,0.0103637,0.690025,84.5136,1942 +0.000100306,0.0103637,0.694876,90.5252,1811 +7.43149e-05,0.0103637,0.681349,90.4494,2383 +6.54223e-05,0.0103637,0.691461,94.5348,1662 +4.00803e-05,0.0103637,0.697672,77.2599,2960 +7.43768e-05,0.0103637,0.686236,89.5657,2487 +0.000116654,0.0103637,0.703829,78.0427,2381 +4.85051e-05,0.0103637,0.685997,91.3327,2003 +5.55332e-05,0.0103637,0.691656,116.609,1170 +6.60943e-05,0.0103637,0.693062,83.6798,1744 +5.83277e-05,0.0103637,0.692641,89.0655,2169 +9.19515e-05,0.0103637,0.696555,82.225,2525 +8.81229e-05,0.0103637,0.68317,90.5327,2012 +5.85726e-05,0.0103637,0.692007,78.9694,2646 +9.00751e-05,0.0103637,0.696617,83.061,2168 +9.74536e-05,0.0103637,0.701995,97.7498,1565 +8.15851e-05,0.0103637,0.693622,87.9928,1602 +0.000105786,0.0103637,0.702003,83.4737,1711 diff --git a/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.error b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.error new file mode 100644 index 0000000..3217cdd --- /dev/null +++ b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.error @@ -0,0 +1,101 @@ +"Evolution error +85.1149 +82.2095 +93.8283 +99.4121 +84.7928 +89.4784 +98.0445 +82.4413 +95.9898 +82.9514 +95.6417 +97.597 +92.8455 +87.554 +88.0962 +92.764 +92.6177 +91.9667 +82.2732 +94.741 +87.4631 +99.0457 +83.0585 +87.7612 +92.4952 +87.4672 +85.5196 +96.1244 +80.3879 +88.557 +80.9192 +88.0159 +92.5849 +95.6485 +82.6378 +86.2912 +87.6295 +93.7818 +81.2872 +92.884 +85.1577 +82.4601 +88.7562 +85.7044 +90.0389 +90.6256 +86.5225 +93.0686 +86.9607 +91.6042 +100.349 +78.4994 +89.8504 +83.6403 +101.654 +99.3329 +92.788 +83.6513 +85.7803 +83.9198 +97.1194 +86.66 +95.519 +94.3315 +89.9138 +89.7127 +88.7631 +86.5084 +93.2268 +86.4354 +91.7037 +89.9394 +82.762 +81.379 +80.2224 +79.8926 +95.5281 +87.6941 +101.649 +85.3415 +86.2938 +101.265 +84.5136 +90.5252 +90.4494 +94.5348 +77.2599 +89.5657 +78.0427 +91.3327 +116.609 +83.6798 +89.0655 +82.225 +90.5327 +78.9694 +83.061 +97.7498 +87.9928 +83.4737 diff --git a/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.mms b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.mms new file mode 100644 index 0000000..b620732 --- /dev/null +++ b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing 20171013_3dFit_4x4x7_100times.csv" +[1] "Mean:" +[1] 89.21728 +[1] "Median:" +[1] 88.6566 +[1] "Sigma:" +[1] 6.486783 +[1] "Range:" +[1] 77.2599 116.6090 diff --git a/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.spearman b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.spearman new file mode 100644 index 0000000..954b3a3 --- /dev/null +++ b/dokumentation/evolution3d/20171013_3dFit_4x4x7_100times.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20171013_3dFit_4x4x7_100times.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.32 +y -0.32 1.00 + +n= 100 + + +P + x y +x 0.0012 +y 0.0012 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 0.13 +y 0.13 1.00 + +n= 100 + + +P + x y +x 0.2147 +y 0.2147 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.41 +y -0.41 1.00 + +n= 100 + + +P + x y +x 0 +y 0 +[1] "spearman for variability vs. evolution-error" + x y +x 1 NaN +y NaN 1 + +n= 100 + + +P + x y +x +y diff --git a/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.csv b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.csv index 276a3e9..e4720b4 100644 --- a/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.csv +++ b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.csv @@ -1,101 +1,101 @@ regularity,variability,improvement,"Evolution error",steps -0.00013051,0.00740261,0.673824,91.4882.,1062 -0.000159037,0.00740261,0.666191,95.001.,1290 -0.000109945,0.00740261,0.685209,97.72.,1059 -0.000120805,0.00740261,0.688032,99.0429.,882 -0.000140221,0.00740261,0.675152,102.273.,1178 -0.000134368,0.00740261,0.661202,98.0028.,719 -0.000117293,0.00740261,0.660647,101.929.,1039 -9.7644e-05,0.00740261,0.667314,103.969.,1151 -0.000106383,0.00740261,0.662442,92.5069.,829 -0.000155402,0.00740261,0.654566,118.88.,500 -0.000113231,0.00740261,0.656068,96.2138.,1209 -0.000130038,0.00740261,0.664787,100.164.,1132 -0.000136999,0.00740261,0.664672,95.9282.,953 -0.000132682,0.00740261,0.661782,96.3737.,863 -0.000137845,0.00740261,0.68534,107.927.,456 -0.000145459,0.00740261,0.68091,98.0377.,655 -0.000102442,0.00740261,0.661866,94.9011.,1197 -0.00010359,0.00740261,0.669868,102.223.,1144 -0.000129823,0.00740261,0.677934,126.177.,487 -0.000132429,0.00740261,0.679809,101.879.,614 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+0.000133393,0.00740261,0.657839,101.823,732 +0.000144244,0.00740261,0.663091,115.05,1226 +0.000124349,0.00740261,0.668097,101.306,1122 +0.000142602,0.00740261,0.656584,102.493,631 +0.000118057,0.00740261,0.662982,94.8579,875 +0.000142745,0.00740261,0.67665,108.05,644 +0.000165048,0.00740261,0.662857,101.873,709 +0.000129561,0.00740261,0.657732,113.606,609 +0.000128823,0.00740261,0.668196,97.6295,754 +0.000137056,0.00740261,0.682813,94.5646,1630 +0.000134364,0.00740261,0.661282,89.2764,977 +0.000111668,0.00740261,0.671422,97.445,885 +0.000143655,0.00740261,0.656792,101.923,767 +0.000101243,0.00740261,0.668738,103.308,702 +0.000126643,0.00740261,0.6921,92.9774,1952 +0.00016266,0.00740261,0.677012,95.1595,1241 +0.000124782,0.00740261,0.669869,101.54,874 +0.000111837,0.00740261,0.658483,106.698,735 +0.000170519,0.00740261,0.667606,108.192,865 +0.000141366,0.00740261,0.657861,101.598,676 +0.00014135,0.00740261,0.669907,102.393,669 +0.000123703,0.00740261,0.652962,105.018,689 +0.000132077,0.00740261,0.66298,94.0851,991 +0.000116146,0.00740261,0.669464,97.1255,1215 +0.000149136,0.00740261,0.672497,100.425,740 +0.000125424,0.00740261,0.67969,100.988,820 +9.2974e-05,0.00740261,0.682842,100.096,858 +0.00010642,0.00740261,0.667256,95.9289,859 +0.000126849,0.00740261,0.674574,89.3173,1455 +0.000160011,0.00740261,0.652659,103.315,462 diff --git a/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.error b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.error new file mode 100644 index 0000000..7a064df --- /dev/null +++ b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.error @@ -0,0 +1,101 @@ +"Evolution error +91.4882 +95.001 +97.72 +99.0429 +102.273 +98.0028 +101.929 +103.969 +92.5069 +118.88 +96.2138 +100.164 +95.9282 +96.3737 +107.927 +98.0377 +94.9011 +102.223 +126.177 +101.879 +90.0009 +101.026 +94.5618 +99.2481 +94.1741 +102.894 +103.993 +96.549 +90.1281 +104.444 +104.542 +107.051 +102.128 +105.315 +104.097 +96.8133 +99.8496 +103.385 +108.874 +112.975 +113.068 +99.4226 +115.742 +94.4964 +103.45 +116.123 +98.1676 +105.069 +108.953 +91.997 +95.3832 +87.7666 +97.0353 +99.1089 +95.5062 +130.854 +101.333 +96.735 +98.5471 +107.22 +97.6237 +105.503 +110.648 +95.6589 +98.2938 +103.401 +110.527 +96.7363 +95.9747 +93.9381 +101.823 +115.05 +101.306 +102.493 +94.8579 +108.05 +101.873 +113.606 +97.6295 +94.5646 +89.2764 +97.445 +101.923 +103.308 +92.9774 +95.1595 +101.54 +106.698 +108.192 +101.598 +102.393 +105.018 +94.0851 +97.1255 +100.425 +100.988 +100.096 +95.9289 +89.3173 +103.315 diff --git a/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.mms b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.mms new file mode 100644 index 0000000..b1b1341 --- /dev/null +++ b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing 20171013_3dFit_5x4x4_100times.csv" +[1] "Mean:" +[1] 101.2503 +[1] "Median:" +[1] 100.7065 +[1] "Sigma:" +[1] 7.448474 +[1] "Range:" +[1] 87.7666 130.8540 diff --git a/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.spearman b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.spearman new file mode 100644 index 0000000..01367de --- /dev/null +++ b/dokumentation/evolution3d/20171013_3dFit_5x4x4_100times.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20171013_3dFit_5x4x4_100times.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.0 -0.3 +y -0.3 1.0 + +n= 100 + + +P + x y +x 0.0023 +y 0.0023 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 0.25 +y 0.25 1.00 + +n= 100 + + +P + x y +x 0.0124 +y 0.0124 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.15 +y -0.15 1.00 + +n= 100 + + +P + x y +x 0.147 +y 0.147 +[1] "spearman for variability vs. evolution-error" + x y +x 1 NaN +y NaN 1 + +n= 100 + + +P + x y +x +y diff --git a/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.csv b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.csv index ae827b4..17b5af0 100644 --- a/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.csv +++ b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.csv @@ -1,111 +1,111 @@ regularity,variability,improvement,"Evolution error",steps -5.1634e-05,0.019987,0.821015,56.9424.,503 -5.98077e-05,0.019987,0.806926,65.8672.,369 -5.24599e-05,0.019987,0.819404,61.6979.,506 -4.79077e-05,0.019987,0.808663,64.1851.,343 -4.62386e-05,0.019987,0.81824,55.1204.,1027 -5.29607e-05,0.019987,0.818404,63.4494.,614 -5.96103e-05,0.019987,0.819549,56.8508.,704 -6.29854e-05,0.019987,0.81534,68.7883.,496 -4.80849e-05,0.019987,0.80758,63.1337.,494 -5.37275e-05,0.019987,0.82125,71.6163.,295 -4.93684e-05,0.019987,0.818061,71.1037.,395 -5.93542e-05,0.019987,0.818596,55.0916.,872 -4.82919e-05,0.019987,0.821873,63.109.,498 -4.3605e-05,0.019987,0.812444,56.7978.,654 -5.13112e-05,0.019987,0.819994,64.0039.,517 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+6.10619e-05,0.019987,0.817943,55.0987,1004 +4.4631e-05,0.019987,0.805461,64.6963,474 diff --git a/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.error b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.error new file mode 100644 index 0000000..380eee7 --- /dev/null +++ b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.error @@ -0,0 +1,111 @@ +"Evolution error +56.9424 +65.8672 +61.6979 +64.1851 +55.1204 +63.4494 +56.8508 +68.7883 +63.1337 +71.6163 +71.1037 +55.0916 +63.109 +56.7978 +64.0039 +63.2723 +57.7703 +61.9955 +55.9687 +78.0966 +65.5659 +65.5294 +52.8169 +59.6491 +54.1868 +64.4377 +64.634 +61.125 +59.6531 +61.0567 +66.6297 +70.4683 +63.4839 +58.2558 +66.0124 +57.8232 +63.7635 +58.0721 +60.9659 +62.2392 +75.0921 +55.2029 +82.5252 +60.4597 +58.192 +65.2124 +60.0963 +75.3887 +80.3804 +55.2663 +60.0725 +62.3384 +64.2813 +61.7037 +59.3731 +65.7621 +63.3544 +56.9314 +59.2639 +73.3526 +66.3558 +60.2468 +59.9975 +66.071 +66.9982 +56.1226 +66.7656 +65.502 +59.5304 +59.7764 +62.1932 +61.2462 +75.8608 +69.8036 +64.1075 +66.444 +55.9495 +74.2188 +61.8076 +65.2168 +57.2958 +52.0186 +66.3049 +68.9979 +64.4292 +57.3039 +60.8438 +61.5872 +58.9557 +58.0811 +61.8499 +58.8907 +60.5339 +66.9486 +57.7944 +62.5237 +60.6411 +72.3431 +61.1932 +59.7782 +58.5321 +60.3221 +62.104 +65.3453 +61.6116 +62.1421 +64.1642 +59.2356 +55.0987 +64.6963 diff --git a/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.mms b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.mms new file mode 100644 index 0000000..23b6989 --- /dev/null +++ b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing 20171021-evolution3D_6x6_100Times.csv" +[1] "Mean:" +[1] 62.82964 +[1] "Median:" +[1] 61.9227 +[1] "Sigma:" +[1] 5.727806 +[1] "Range:" +[1] 52.0186 82.5252 diff --git a/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.spearman b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.spearman new file mode 100644 index 0000000..ff01395 --- /dev/null +++ b/dokumentation/evolution3d/20171021-evolution3D_6x6_100Times.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 20171021-evolution3D_6x6_100Times.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 0.01 +y 0.01 1.00 + +n= 110 + + +P + x y +x 0.8803 +y 0.8803 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.0 0.1 +y 0.1 1.0 + +n= 110 + + +P + x y +x 0.3009 +y 0.3009 +[1] "spearman for regularity vs. steps" + x y +x 1.00 0.13 +y 0.13 1.00 + +n= 110 + + +P + x y +x 0.1715 +y 0.1715 +[1] "spearman for variability vs. evolution-error" + x y +x 1 NaN +y NaN 1 + +n= 110 + + +P + x y +x +y diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.csv b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.csv new file mode 100644 index 0000000..2eec691 --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.csv @@ -0,0 +1,11 @@ +regularity,variability,improvement +0,0.090682,0.913618 +0,0.0907745,0.913428 +0,0.0905894,0.916839 +0,0.090682,0.915586 +0,0.0907745,0.915006 +0,0.090867,0.91456 +0,0.0907745,0.912454 +0,0.0903118,0.914794 +0,0.0904969,0.912754 +0,0.0909596,0.912461 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.fit.log b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.fit.log new file mode 100644 index 0000000..c6bc73f --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.fit.log @@ -0,0 +1,184 @@ + + +******************************************************************************* +Wed Oct 25 16:01:21 2017 + + +FIT: data read from "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 1:5 + format = x:z + #datapoints = 6 + residuals are weighted equally (unit weight) + +function used for fitting: f(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 9.03463 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.800174 + +initial set of free parameter values + +a = 1 +b = 1 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.760112 +rel. change during last iteration : -7.81424e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.435922 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190028 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +a = -0.500504 +/- 0.4333 (86.58%) +b = 0.50226 +/- 0.2295 (45.7%) + + +correlation matrix of the fit parameters: + + a b +a 1.000 +b -0.632 1.000 + + +******************************************************************************* +Wed Oct 25 16:01:21 2017 + + +FIT: data read from "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 3:5 + format = x:z + #datapoints = 6 + residuals are weighted equally (unit weight) + +function used for fitting: g(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 9.042 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.80039 + +initial set of free parameter values + +aa = 1 +bb = 1 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.760537 +rel. change during last iteration : -7.73688e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.436044 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190134 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aa = -0.499395 +/- 0.4329 (86.68%) +bb = 0.502057 +/- 0.2296 (45.72%) + + +correlation matrix of the fit parameters: + + aa bb +aa 1.000 +bb -0.631 1.000 + + +******************************************************************************* +Wed Oct 25 16:01:21 2017 + + +FIT: data read from "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 3:4 + format = x:z + #datapoints = 6 + residuals are weighted equally (unit weight) + +function used for fitting: h(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 9.04152 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.80039 + +initial set of free parameter values + +aaa = 1 +bbb = 1 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.763537 +rel. change during last iteration : -7.73556e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.436903 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190884 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaa = -0.501106 +/- 0.4337 (86.55%) +bbb = 0.503355 +/- 0.23 (45.7%) + + +correlation matrix of the fit parameters: + + aaa bbb +aaa 1.000 +bbb -0.631 1.000 + + +******************************************************************************* +Wed Oct 25 16:01:21 2017 + + +FIT: data read from "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 2:4 + format = x:z + #datapoints = 6 + residuals are weighted equally (unit weight) + +function used for fitting: i(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 9.04263 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.800411 + +initial set of free parameter values + +aaaa = 1 +bbbb = 1 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.763697 +rel. change during last iteration : -7.7194e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.436949 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190924 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaaa = -0.50098 +/- 0.4338 (86.59%) +bbbb = 0.50338 +/- 0.2301 (45.71%) + + +correlation matrix of the fit parameters: + + aaaa bbbb +aaaa 1.000 +bbbb -0.632 1.000 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.log b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.log new file mode 100644 index 0000000..67c8c36 --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.log @@ -0,0 +1,304 @@ + + + Iteration 0 + WSSR : 9.03463 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.800174 + +initial set of free parameter values + +a = 1 +b = 1 +/ + + Iteration 1 + WSSR : 1.04136 delta(WSSR)/WSSR : -7.67579 + delta(WSSR) : -7.99327 limit for stopping : 1e-05 + lambda : 0.0800174 + +resultant parameter values + +a = 0.00294917 +b = 0.398082 +/ + + Iteration 2 + WSSR : 0.760123 delta(WSSR)/WSSR : -0.36999 + delta(WSSR) : -0.281238 limit for stopping : 1e-05 + lambda : 0.00800174 + +resultant parameter values + +a = -0.497122 +b = 0.501019 +/ + + Iteration 3 + WSSR : 0.760112 delta(WSSR)/WSSR : -1.53218e-05 + delta(WSSR) : -1.16463e-05 limit for stopping : 1e-05 + lambda : 0.000800174 + +resultant parameter values + +a = -0.500504 +b = 0.50226 +/ + + Iteration 4 + WSSR : 0.760112 delta(WSSR)/WSSR : -7.81424e-14 + delta(WSSR) : -5.93969e-14 limit for stopping : 1e-05 + lambda : 8.00174e-05 + +resultant parameter values + +a = -0.500504 +b = 0.50226 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.760112 +rel. change during last iteration : -7.81424e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.435922 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190028 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +a = -0.500504 +/- 0.4333 (86.58%) +b = 0.50226 +/- 0.2295 (45.7%) + + +correlation matrix of the fit parameters: + + a b +a 1.000 +b -0.632 1.000 + + + Iteration 0 + WSSR : 9.042 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.80039 + +initial set of free parameter values + +aa = 1 +bb = 1 +/ + + Iteration 1 + WSSR : 1.04131 delta(WSSR)/WSSR : -7.68331 + delta(WSSR) : -8.0007 limit for stopping : 1e-05 + lambda : 0.080039 + +resultant parameter values + +aa = 0.00287365 +bb = 0.398135 +/ + + Iteration 2 + WSSR : 0.760548 delta(WSSR)/WSSR : -0.369155 + delta(WSSR) : -0.28076 limit for stopping : 1e-05 + lambda : 0.0080039 + +resultant parameter values + +aa = -0.496029 +bb = 0.50082 +/ + + Iteration 3 + WSSR : 0.760537 delta(WSSR)/WSSR : -1.52182e-05 + delta(WSSR) : -1.1574e-05 limit for stopping : 1e-05 + lambda : 0.00080039 + +resultant parameter values + +aa = -0.499395 +bb = 0.502057 +/ + + Iteration 4 + WSSR : 0.760537 delta(WSSR)/WSSR : -7.73688e-14 + delta(WSSR) : -5.88418e-14 limit for stopping : 1e-05 + lambda : 8.0039e-05 + +resultant parameter values + +aa = -0.499395 +bb = 0.502057 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.760537 +rel. change during last iteration : -7.73688e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.436044 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190134 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aa = -0.499395 +/- 0.4329 (86.68%) +bb = 0.502057 +/- 0.2296 (45.72%) + + +correlation matrix of the fit parameters: + + aa bb +aa 1.000 +bb -0.631 1.000 + + + Iteration 0 + WSSR : 9.04152 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.80039 + +initial set of free parameter values + +aaa = 1 +bbb = 1 +/ + + Iteration 1 + WSSR : 1.04503 delta(WSSR)/WSSR : -7.65191 + delta(WSSR) : -7.99648 limit for stopping : 1e-05 + lambda : 0.080039 + +resultant parameter values + +aaa = 0.00194603 +bbb = 0.399071 +/ + + Iteration 2 + WSSR : 0.763548 delta(WSSR)/WSSR : -0.36865 + delta(WSSR) : -0.281482 limit for stopping : 1e-05 + lambda : 0.0080039 + +resultant parameter values + +aaa = -0.497734 +bbb = 0.502116 +/ + + Iteration 3 + WSSR : 0.763537 delta(WSSR)/WSSR : -1.52098e-05 + delta(WSSR) : -1.16133e-05 limit for stopping : 1e-05 + lambda : 0.00080039 + +resultant parameter values + +aaa = -0.501106 +bbb = 0.503355 +/ + + Iteration 4 + WSSR : 0.763537 delta(WSSR)/WSSR : -7.73556e-14 + delta(WSSR) : -5.90639e-14 limit for stopping : 1e-05 + lambda : 8.0039e-05 + +resultant parameter values + +aaa = -0.501106 +bbb = 0.503355 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.763537 +rel. change during last iteration : -7.73556e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.436903 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190884 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaa = -0.501106 +/- 0.4337 (86.55%) +bbb = 0.503355 +/- 0.23 (45.7%) + + +correlation matrix of the fit parameters: + + aaa bbb +aaa 1.000 +bbb -0.631 1.000 + + + Iteration 0 + WSSR : 9.04263 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.800411 + +initial set of free parameter values + +aaaa = 1 +bbbb = 1 +/ + + Iteration 1 + WSSR : 1.04513 delta(WSSR)/WSSR : -7.65212 + delta(WSSR) : -7.99749 limit for stopping : 1e-05 + lambda : 0.0800411 + +resultant parameter values + +aaaa = 0.00204362 +bbbb = 0.399044 +/ + + Iteration 2 + WSSR : 0.763709 delta(WSSR)/WSSR : -0.368499 + delta(WSSR) : -0.281426 limit for stopping : 1e-05 + lambda : 0.00800411 + +resultant parameter values + +aaaa = -0.497607 +bbbb = 0.50214 +/ + + Iteration 3 + WSSR : 0.763697 delta(WSSR)/WSSR : -1.52103e-05 + delta(WSSR) : -1.16161e-05 limit for stopping : 1e-05 + lambda : 0.000800411 + +resultant parameter values + +aaaa = -0.50098 +bbbb = 0.50338 +/ + + Iteration 4 + WSSR : 0.763697 delta(WSSR)/WSSR : -7.7194e-14 + delta(WSSR) : -5.89528e-14 limit for stopping : 1e-05 + lambda : 8.00411e-05 + +resultant parameter values + +aaaa = -0.50098 +bbbb = 0.50338 + +After 4 iterations the fit converged. +final sum of squares of residuals : 0.763697 +rel. change during last iteration : -7.7194e-14 + +degrees of freedom (FIT_NDF) : 4 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.436949 +variance of residuals (reduced chisquare) = WSSR/ndf : 0.190924 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaaa = -0.50098 +/- 0.4338 (86.59%) +bbbb = 0.50338 +/- 0.2301 (45.71%) + + +correlation matrix of the fit parameters: + + aaaa bbbb +aaaa 1.000 +bbbb -0.632 1.000 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.script b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.script new file mode 100644 index 0000000..f65a804 --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.gnuplot.script @@ -0,0 +1,26 @@ +set datafile separator "," +f(x)=a*x+b +fit f(x) "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 1:5 via a,b +set terminal png +set xlabel 'regularity' +set ylabel 'steps' +set output "20171025-evolution3D_10x10x10_noFit_regularity-vs-steps.png" +plot "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 1:5 title "data", f(x) title "lin. fit" lc rgb "black" +g(x)=aa*x+bb +fit g(x) "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 3:5 via aa,bb +set xlabel 'improvement potential' +set ylabel 'steps' +set output "20171025-evolution3D_10x10x10_noFit_improvement-vs-steps.png" +plot "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 3:5 title "data", g(x) title "lin. fit" lc rgb "black" +h(x)=aaa*x+bbb +fit h(x) "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 3:4 via aaa,bbb +set xlabel 'improvement potential' +set ylabel 'evolution error' +set output "20171025-evolution3D_10x10x10_noFit_improvement-vs-evo-error.png" +plot "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 3:4 title "data", h(x) title "lin. fit" lc rgb "black" +i(x)=aaaa*x+bbbb +fit i(x) "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 2:4 via aaaa,bbbb +set xlabel 'variability' +set ylabel 'evolution error' +set output "20171025-evolution3D_10x10x10_noFit_variability-vs-evo-error.png" +plot "20171025-evolution3D_10x10x10_noFit.csv" every ::1 using 2:4 title "data", i(x) title "lin. fit" lc rgb "black" diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.log b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.log new file mode 100644 index 0000000..f3388a5 --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.log @@ -0,0 +1,180 @@ +info: using info log level +info: Free_form_deformation_plugin loaded. +info: Modelling_plugin loaded. +info: Point_set_io_plugin loaded. +info: Scene_graph_plugin loaded. +info: Selection_plugin loaded. +info: Surface_mesh_io_plugin loaded. +GL error at "after Initialize": invalid enum + +info: GLEW errorcode: 0 +info: GLEW 1.13.0 +info: OpenGL 3.3.0 NVIDIA 384.90 (Core Profile) +info: GLSL 3.30 NVIDIA via Cg compiler +info: GeForce GTX 1080/PCIe/SSE2 +info: OpenCL 1.2 CUDA 9.0.194 +info: 10807 Vertices, 21610 Faces. +info: Loaded /home/sdressel/git/graphene/offs/source_ball_10807v_good_normed.off. +info: 12024 Vertices, 23997 Faces. +info: Loaded /home/sdressel/git/graphene/offs/target_mario_12024v_rem_normed.off. +info: setting source +info: setting target +info: initialising Grid +info: bbmin: -1.01856 -1.01771 -1.01575 +info: bbmax: 1.02125 1.02206 1.02408 +info: bbsize: 2.03981 2.03977 2.03983 +info: setting up10807Points +info: worst iteration-count:3 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09379 1.09753 1.09917 +info: bbsize: 2.16901 2.17189 2.17158 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.913618 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09449 1.09677 1.09756 +info: bbsize: 2.16971 2.17114 2.16997 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.913428 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09456 1.09481 1.09742 +info: bbsize: 2.16978 2.16918 2.16983 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0905894 +info: EVOL: improvement: 0.916839 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0952 1.0937 1.09694 +info: bbsize: 2.17042 2.16806 2.16935 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.915586 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09532 1.0969 1.09633 +info: bbsize: 2.17054 2.17127 2.16874 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915006 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09164 1.09026 1.09787 +info: bbsize: 2.16686 2.16463 2.17029 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.91456 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09473 1.09554 1.09647 +info: bbsize: 2.16995 2.16991 2.16888 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.912454 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09276 1.09735 1.09676 +info: bbsize: 2.16799 2.17172 2.16917 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0903118 +info: EVOL: improvement: 0.914794 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09644 1.09619 1.09812 +info: bbsize: 2.17166 2.17056 2.17053 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0904969 +info: EVOL: improvement: 0.912754 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09505 1.09665 1.09904 +info: bbsize: 2.17027 2.17102 2.17146 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.912461 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.var b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.var new file mode 100644 index 0000000..d79bc6c --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit.var @@ -0,0 +1,11 @@ +variability +0.090682 +0.0907745 +0.0905894 +0.090682 +0.0907745 +0.090867 +0.0907745 +0.0903118 +0.0904969 +0.0909596 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.csv b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.csv new file mode 100644 index 0000000..9b614af --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.csv @@ -0,0 +1,101 @@ +regularity,variability,improvement +0,0.0905894,0.91227 +0,0.0907745,0.913342 +0,0.0907745,0.912502 +0,0.090682,0.916278 +0,0.090867,0.918006 +0,0.0909596,0.915859 +0,0.090682,0.916069 +0,0.090867,0.912805 +0,0.090867,0.913475 +0,0.0904969,0.915285 +0,0.0909596,0.915132 +0,0.0907745,0.915095 +0,0.0910521,0.91484 +0,0.090867,0.91747 +0,0.090682,0.914088 +0,0.0909596,0.9145 +0,0.0907745,0.912487 +0,0.0905894,0.913198 +0,0.0909596,0.912168 +0,0.0910521,0.91543 +0,0.090867,0.911409 +0,0.0909596,0.914529 +0,0.0910521,0.915134 +0,0.090682,0.916253 +0,0.0909596,0.912157 +0,0.090682,0.915866 +0,0.0907745,0.914764 +0,0.0907745,0.915497 +0,0.0904044,0.912985 +0,0.090867,0.913583 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+0,0.0909596,0.915279 +0,0.090867,0.912327 +0,0.090867,0.913719 +0,0.0905894,0.915685 +0,0.0909596,0.915602 +0,0.090867,0.914587 +0,0.0910521,0.912118 +0,0.090867,0.91491 +0,0.0907745,0.913637 +0,0.090867,0.915142 +0,0.0907745,0.915787 +0,0.0910521,0.913777 +0,0.0910521,0.913735 +0,0.090867,0.913709 +0,0.0907745,0.91209 +0,0.090867,0.915959 +0,0.0910521,0.911411 +0,0.090867,0.914564 +0,0.090682,0.915549 +0,0.090682,0.914751 +0,0.090867,0.915115 +0,0.0907745,0.916087 +0,0.0907745,0.91401 +0,0.0909596,0.913288 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.log b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.log new file mode 100644 index 0000000..3e10a47 --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.log @@ -0,0 +1,1530 @@ +info: using info log level +info: Free_form_deformation_plugin loaded. +info: Modelling_plugin loaded. +info: Point_set_io_plugin loaded. +info: Scene_graph_plugin loaded. +info: Selection_plugin loaded. +info: Surface_mesh_io_plugin loaded. +GL error at "after Initialize": invalid enum + +info: GLEW errorcode: 0 +info: GLEW 1.13.0 +info: OpenGL 3.3.0 NVIDIA 384.90 (Core Profile) +info: GLSL 3.30 NVIDIA via Cg compiler +info: GeForce GTX 1080/PCIe/SSE2 +info: OpenCL 1.2 CUDA 9.0.194 +info: 12024 Vertices, 23997 Faces. +info: Loaded /home/sdressel/git/graphene/offs/target_mario_12024v_rem_normed.off. +info: 10807 Vertices, 21610 Faces. +info: Loaded /home/sdressel/git/graphene/offs/source_ball_10807v_good_normed.off. +info: setting source +info: setting target +info: initialising Grid +info: bbmin: -1.01856 -1.01771 -1.01575 +info: bbmax: 1.02125 1.02206 1.02408 +info: bbsize: 2.03981 2.03977 2.03983 +info: setting up10807Points +info: worst iteration-count:3 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09515 1.09709 1.09957 +info: bbsize: 2.17037 2.17146 2.17199 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0905894 +info: EVOL: improvement: 0.91227 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09481 1.09721 1.09608 +info: bbsize: 2.17003 2.17157 2.16849 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.913342 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09599 1.09268 1.09844 +info: bbsize: 2.17121 2.16704 2.17086 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.912502 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0948 1.0975 1.09802 +info: bbsize: 2.17002 2.17187 2.17043 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.916278 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09555 1.09554 1.09853 +info: bbsize: 2.17077 2.16991 2.17094 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.918006 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09349 1.09608 1.09872 +info: bbsize: 2.16872 2.17045 2.17114 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.915859 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0962 1.09642 1.09812 +info: bbsize: 2.17142 2.17079 2.17053 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.916069 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09555 1.09635 1.0985 +info: bbsize: 2.17078 2.17071 2.17091 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.912805 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09673 1.09734 1.09942 +info: bbsize: 2.17196 2.17171 2.17183 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.913475 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09346 1.09735 1.09756 +info: bbsize: 2.16869 2.17172 2.16997 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0904969 +info: EVOL: improvement: 0.915285 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09394 1.09744 1.09686 +info: bbsize: 2.16916 2.17181 2.16927 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.915132 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09596 1.09554 1.0988 +info: bbsize: 2.17119 2.16991 2.17121 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915095 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09617 1.09567 1.09781 +info: bbsize: 2.17139 2.17004 2.17022 +info: setting up10807Points +info: worst iteration-count:5 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.91484 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09589 1.0964 1.09694 +info: bbsize: 2.17111 2.17076 2.16935 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.91747 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09243 1.09722 1.09167 +info: bbsize: 2.16765 2.17158 2.16408 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.914088 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09632 1.09462 1.0979 +info: bbsize: 2.17154 2.16898 2.17031 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.9145 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09343 1.09709 1.09773 +info: bbsize: 2.16866 2.17146 2.17014 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.912487 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09513 1.09671 1.09756 +info: bbsize: 2.17035 2.17107 2.16997 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0905894 +info: EVOL: improvement: 0.913198 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09516 1.09542 1.09937 +info: bbsize: 2.17038 2.16979 2.17178 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.912168 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09659 1.09729 1.09798 +info: bbsize: 2.17181 2.17166 2.17039 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.91543 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09338 1.09655 1.09684 +info: bbsize: 2.16861 2.17092 2.16925 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.911409 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09574 1.09557 1.09861 +info: bbsize: 2.17096 2.16994 2.17102 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.914529 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09658 1.09574 1.09881 +info: bbsize: 2.17181 2.1701 2.17123 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.915134 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09398 1.097 1.09845 +info: bbsize: 2.1692 2.17137 2.17086 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.916253 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09531 1.09727 1.09398 +info: bbsize: 2.17054 2.17164 2.16639 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.912157 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09474 1.09538 1.09693 +info: bbsize: 2.16996 2.16975 2.16934 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.915866 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0956 1.09461 1.09761 +info: bbsize: 2.17082 2.16898 2.17002 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.914764 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09608 1.09693 1.09947 +info: bbsize: 2.17131 2.1713 2.17188 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915497 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09647 1.09607 1.0995 +info: bbsize: 2.17169 2.17043 2.17191 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0904044 +info: EVOL: improvement: 0.912985 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0954 1.09547 1.09821 +info: bbsize: 2.17062 2.16984 2.17062 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.913583 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0949 1.09359 1.09765 +info: bbsize: 2.17012 2.16796 2.17006 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.91513 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09401 1.09349 1.09771 +info: bbsize: 2.16923 2.16786 2.17013 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.914659 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09403 1.09618 1.09944 +info: bbsize: 2.16926 2.17055 2.17185 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915716 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09287 1.09626 1.09829 +info: bbsize: 2.1681 2.17063 2.17071 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0904969 +info: EVOL: improvement: 0.914712 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09555 1.09657 1.09822 +info: bbsize: 2.17077 2.17094 2.17064 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915312 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09458 1.09668 1.0986 +info: bbsize: 2.1698 2.17105 2.17101 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.914013 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09629 1.09713 1.09813 +info: bbsize: 2.17151 2.1715 2.17054 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.909808 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09662 1.09741 1.09802 +info: bbsize: 2.17184 2.17178 2.17044 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.914233 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09341 1.09414 1.09922 +info: bbsize: 2.16863 2.1685 2.17163 +info: setting up10807Points +info: worst iteration-count:5 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.915978 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09515 1.09727 1.09866 +info: bbsize: 2.17037 2.17164 2.17107 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.912972 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09473 1.09324 1.09802 +info: bbsize: 2.16995 2.16761 2.17043 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.913667 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09414 1.09745 1.09727 +info: bbsize: 2.16937 2.17182 2.16969 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.916343 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09473 1.09696 1.09651 +info: bbsize: 2.16995 2.17133 2.16893 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.913652 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09592 1.09658 1.09751 +info: bbsize: 2.17114 2.17095 2.16992 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.915991 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0944 1.09617 1.09836 +info: bbsize: 2.16962 2.17053 2.17078 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.916097 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0948 1.09539 1.09848 +info: bbsize: 2.17002 2.16976 2.17089 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.911669 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09533 1.09554 1.0981 +info: bbsize: 2.17055 2.16991 2.17052 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.914683 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09396 1.09621 1.09733 +info: bbsize: 2.16918 2.17057 2.16975 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.913556 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09412 1.09583 1.09922 +info: bbsize: 2.16934 2.1702 2.17164 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915079 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09473 1.09656 1.09906 +info: bbsize: 2.16995 2.17093 2.17148 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.911162 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09464 1.09727 1.09909 +info: bbsize: 2.16986 2.17164 2.1715 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.914992 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09595 1.0963 1.09608 +info: bbsize: 2.17118 2.17066 2.16849 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.915799 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0966 1.09489 1.09826 +info: bbsize: 2.17182 2.16926 2.17068 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.914921 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09512 1.09505 1.09763 +info: bbsize: 2.17034 2.16942 2.17004 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.915452 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09665 1.09123 1.09873 +info: bbsize: 2.17187 2.16559 2.17114 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0905894 +info: EVOL: improvement: 0.915182 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0927 1.09699 1.09293 +info: bbsize: 2.16792 2.17136 2.16534 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.915656 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09422 1.09209 1.09936 +info: bbsize: 2.16944 2.16646 2.17177 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.914318 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09671 1.09653 1.09911 +info: bbsize: 2.17193 2.17089 2.17153 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.916663 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09563 1.09554 1.09756 +info: bbsize: 2.17085 2.16991 2.16997 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.915529 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09227 1.0964 1.0945 +info: bbsize: 2.16749 2.17076 2.16691 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.915303 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09425 1.09579 1.09871 +info: bbsize: 2.16947 2.17015 2.17113 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.914323 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09484 1.09649 1.09615 +info: bbsize: 2.17006 2.17085 2.16857 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.913962 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09349 1.09719 1.09956 +info: bbsize: 2.16871 2.17155 2.17197 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.914198 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09495 1.09683 1.09837 +info: bbsize: 2.17017 2.1712 2.17078 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.911039 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09628 1.09633 1.09588 +info: bbsize: 2.1715 2.1707 2.1683 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.913378 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09509 1.09159 1.09935 +info: bbsize: 2.17031 2.16596 2.17176 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.918202 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09522 1.09661 1.09924 +info: bbsize: 2.17044 2.17098 2.17165 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.91288 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09515 1.09616 1.09955 +info: bbsize: 2.17037 2.17053 2.17196 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.916036 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0939 1.09748 1.09855 +info: bbsize: 2.16912 2.17185 2.17097 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.912603 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09628 1.09554 1.09907 +info: bbsize: 2.1715 2.16991 2.17148 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.913196 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09579 1.09717 1.09868 +info: bbsize: 2.17102 2.17153 2.1711 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915577 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.096 1.09735 1.09896 +info: bbsize: 2.17122 2.17172 2.17137 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.914768 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09586 1.09713 1.09884 +info: bbsize: 2.17108 2.17149 2.17125 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.914163 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09467 1.09681 1.09881 +info: bbsize: 2.16989 2.17117 2.17122 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.915439 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09575 1.09744 1.09837 +info: bbsize: 2.17097 2.1718 2.17079 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.914254 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09567 1.09738 1.09825 +info: bbsize: 2.17089 2.17175 2.17066 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.914172 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09512 1.09553 1.09863 +info: bbsize: 2.17034 2.16989 2.17104 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.915279 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09305 1.09654 1.0971 +info: bbsize: 2.16827 2.17091 2.16952 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.912327 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09635 1.09702 1.09869 +info: bbsize: 2.17157 2.17139 2.1711 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.913719 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09584 1.09575 1.09552 +info: bbsize: 2.17106 2.17012 2.16793 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0905894 +info: EVOL: improvement: 0.915685 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0949 1.09554 1.09751 +info: bbsize: 2.17012 2.16991 2.16992 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.915602 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09569 1.09697 1.09756 +info: bbsize: 2.17092 2.17134 2.16997 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.914587 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09582 1.09684 1.09756 +info: bbsize: 2.17104 2.17121 2.16997 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.912118 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09473 1.0967 1.09897 +info: bbsize: 2.16995 2.17107 2.17138 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.91491 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09589 1.09634 1.09847 +info: bbsize: 2.17111 2.1707 2.17088 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.913637 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09646 1.09353 1.097 +info: bbsize: 2.17168 2.1679 2.16941 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.915142 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09287 1.09554 1.09911 +info: bbsize: 2.16809 2.16991 2.17152 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.915787 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09297 1.09734 1.09764 +info: bbsize: 2.1682 2.17171 2.17005 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.913777 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09482 1.09574 1.09897 +info: bbsize: 2.17004 2.17011 2.17138 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.913735 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09484 1.09473 1.09823 +info: bbsize: 2.17006 2.1691 2.17064 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.913709 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09383 1.09637 1.09745 +info: bbsize: 2.16905 2.17074 2.16986 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.91209 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0966 1.09461 1.09802 +info: bbsize: 2.17182 2.16898 2.17044 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.915959 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09653 1.097 1.09911 +info: bbsize: 2.17175 2.17136 2.17152 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0910521 +info: EVOL: improvement: 0.911411 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.0959 1.09556 1.09947 +info: bbsize: 2.17113 2.16993 2.17188 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.914564 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09667 1.09277 1.09548 +info: bbsize: 2.17189 2.16714 2.16789 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.915549 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09416 1.09734 1.09866 +info: bbsize: 2.16939 2.17171 2.17108 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090682 +info: EVOL: improvement: 0.914751 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09221 1.09606 1.09911 +info: bbsize: 2.16743 2.17043 2.17152 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.090867 +info: EVOL: improvement: 0.915115 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09501 1.09607 1.09498 +info: bbsize: 2.17024 2.17044 2.16739 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.916087 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09642 1.09267 1.09869 +info: bbsize: 2.17165 2.16704 2.1711 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0907745 +info: EVOL: improvement: 0.91401 +info: perturbating... +info: initialising Grid +info: bbmin: -1.07522 -1.07437 -1.07241 +info: bbmax: 1.09572 1.09609 1.09863 +info: bbsize: 2.17094 2.17046 2.17104 +info: setting up10807Points +info: worst iteration-count:4 +info: generating Cache +info: cache size: 10807*1000=10807000 +info: done. +info: entering fit.. +info: EVOL: Evolvability-criteria: +info: EVOL: regularity: 0 +info: EVOL: variability: 0.0909596 +info: EVOL: improvement: 0.913288 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.mms b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.mms new file mode 100644 index 0000000..32f3e91 --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.mms @@ -0,0 +1,2 @@ +[1] "================ Analyzing 20171025-evolution3D_10x10x10_noFit_100Times.csv" +[1] "Mean:" diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.var b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.var new file mode 100644 index 0000000..5d864dd --- /dev/null +++ b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_100Times.var @@ -0,0 +1,101 @@ +variability +0.0905894 +0.0907745 +0.0907745 +0.090682 +0.090867 +0.0909596 +0.090682 +0.090867 +0.090867 +0.0904969 +0.0909596 +0.0907745 +0.0910521 +0.090867 +0.090682 +0.0909596 +0.0907745 +0.0905894 +0.0909596 +0.0910521 +0.090867 +0.0909596 +0.0910521 +0.090682 +0.0909596 +0.090682 +0.0907745 +0.0907745 +0.0904044 +0.090867 +0.0907745 +0.0909596 +0.0907745 +0.0904969 +0.0907745 +0.090867 +0.090867 +0.0907745 +0.0910521 +0.090867 +0.090867 +0.090867 +0.0907745 +0.0909596 +0.090682 +0.0907745 +0.090682 +0.0909596 +0.0907745 +0.090867 +0.0909596 +0.090867 +0.090867 +0.090867 +0.0905894 +0.090867 +0.090867 +0.0907745 +0.0909596 +0.0910521 +0.0909596 +0.0907745 +0.0910521 +0.0910521 +0.0910521 +0.0907745 +0.090867 +0.090682 +0.0907745 +0.0910521 +0.0907745 +0.090682 +0.0907745 +0.0910521 +0.090867 +0.0909596 +0.0909596 +0.090867 +0.090867 +0.0905894 +0.0909596 +0.090867 +0.0910521 +0.090867 +0.0907745 +0.090867 +0.0907745 +0.0910521 +0.0910521 +0.090867 +0.0907745 +0.090867 +0.0910521 +0.090867 +0.090682 +0.090682 +0.090867 +0.0907745 +0.0907745 +0.0909596 diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_improvement-vs-evo-error.png b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_improvement-vs-evo-error.png new file mode 100644 index 0000000..d16fa82 Binary files /dev/null and b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_improvement-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_improvement-vs-steps.png b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_improvement-vs-steps.png new file mode 100644 index 0000000..d2b5f3a Binary files /dev/null and b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_improvement-vs-steps.png differ diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_regularity-vs-steps.png b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_regularity-vs-steps.png new file mode 100644 index 0000000..1be649f Binary files /dev/null and b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_regularity-vs-steps.png differ diff --git a/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_variability-vs-evo-error.png b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_variability-vs-evo-error.png new file mode 100644 index 0000000..9369a14 Binary files /dev/null and b/dokumentation/evolution3d/20171025-evolution3D_10x10x10_noFit_variability-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/4x4xX.csv b/dokumentation/evolution3d/4x4xX.csv index b1042ec..ca08659 100644 --- a/dokumentation/evolution3d/4x4xX.csv +++ b/dokumentation/evolution3d/4x4xX.csv @@ -1,301 +1,301 @@ regularity,variability,improvement,"Evolution error",steps -6.57581e-05,0.00592209,0.622392,113.016.,2368 -5.16451e-05,0.00592209,0.610293,118.796.,2433 -6.45083e-05,0.00592209,0.592139,127.157.,1655 -7.14801e-05,0.00592209,0.624039,121.613.,1933 -5.62707e-05,0.00592209,0.611091,119.539.,2618 -5.55953e-05,0.00592209,0.625812,119.512.,2505 -5.96026e-05,0.00592209,0.622873,118.285.,1582 -6.63676e-05,0.00592209,0.602386,126.579.,2214 -5.93125e-05,0.00592209,0.608913,122.512.,2262 -6.05066e-05,0.00592209,0.621467,118.473.,2465 -6.42976e-05,0.00592209,0.602593,121.998.,2127 -5.32868e-05,0.00592209,0.616501,115.313.,2746 -5.47856e-05,0.00592209,0.615173,118.034.,2148 -6.47209e-05,0.00592209,0.603935,120.003.,2304 -7.07812e-05,0.00592209,0.620422,123.494.,1941 -6.49313e-05,0.00592209,0.616232,122.989.,2214 -6.64295e-05,0.00592209,0.605206,123.757.,1675 -5.88806e-05,0.00592209,0.628055,110.67.,2230 -7.56461e-05,0.00592209,0.625361,121.232.,2187 -4.932e-05,0.00592209,0.612261,120.979.,2280 -5.45998e-05,0.00592209,0.61935,115.394.,2380 -6.10654e-05,0.00592209,0.614029,116.928.,2327 -6.09488e-05,0.00592209,0.611892,125.294.,1609 -5.85691e-05,0.00592209,0.632686,111.635.,2831 -6.87292e-05,0.00592209,0.61519,114.681.,2565 -6.53377e-05,0.00592209,0.627408,111.935.,2596 -6.98345e-05,0.00592209,0.616158,111.392.,2417 -7.90547e-05,0.00592209,0.620575,115.346.,2031 -6.50231e-05,0.00592209,0.625725,119.055.,1842 -6.76541e-05,0.00592209,0.625399,117.452.,1452 -5.72222e-05,0.00592209,0.614171,123.379.,2186 -7.42483e-05,0.00592209,0.624683,115.053.,2236 -6.9354e-05,0.00592209,0.619596,123.994.,1688 -5.75478e-05,0.00592209,0.605051,118.576.,1930 -6.01309e-05,0.00592209,0.617511,116.894.,2184 -6.69251e-05,0.00592209,0.608408,120.129.,2007 -4.66926e-05,0.00592209,0.60606,126.708.,1552 -4.90102e-05,0.00592209,0.618673,114.595.,2783 -5.51505e-05,0.00592209,0.619245,120.056.,2463 -6.1007e-05,0.00592209,0.605215,122.057.,1493 -5.04717e-05,0.00592209,0.623503,116.846.,2620 -6.3578e-05,0.00592209,0.625261,124.35.,2193 -5.8875e-05,0.00592209,0.624526,118.43.,2502 -7.95299e-05,0.00592209,0.611719,116.574.,1849 -6.42733e-05,0.00592209,0.608178,128.474.,2078 -6.41674e-05,0.00592209,0.624042,111.111.,2037 -4.88661e-05,0.00592209,0.615408,120.004.,2627 -7.27714e-05,0.00592209,0.626926,119.866.,2128 -4.84641e-05,0.00592209,0.608054,119.676.,2408 -6.66562e-05,0.00592209,0.603902,128.957.,1668 -5.99872e-05,0.00592209,0.63676,108.467.,3448 -7.73127e-05,0.00592209,0.62232,123.353.,1551 -6.67597e-05,0.00592209,0.621411,123.301.,2180 -5.2819e-05,0.00592209,0.617515,114.838.,4096 -5.29257e-05,0.00592209,0.622611,118.611.,1973 -5.35212e-05,0.00592209,0.62533,109.616.,3424 -7.1947e-05,0.00592209,0.632331,113.565.,2905 -5.04311e-05,0.00592209,0.611559,120.01.,2147 -6.57161e-05,0.00592209,0.617789,125.441.,1820 -5.18695e-05,0.00592209,0.610402,122.541.,2430 -6.47262e-05,0.00592209,0.609141,123.169.,1989 -5.87925e-05,0.00592209,0.61627,117.344.,2143 -4.36904e-05,0.00592209,0.631954,112.674.,3526 -6.45195e-05,0.00592209,0.614402,118.787.,1765 -5.8354e-05,0.00592209,0.615515,112.061.,2368 -7.14669e-05,0.00592209,0.628382,110.262.,1923 -7.24908e-05,0.00592209,0.610848,116.504.,1830 -5.98617e-05,0.00592209,0.622949,109.607.,3609 -5.90411e-05,0.00592209,0.629175,122.198.,1859 -5.25569e-05,0.00592209,0.621253,124.527.,1876 -5.86979e-05,0.00592209,0.612603,120.886.,2916 -4.73113e-05,0.00592209,0.610586,119.176.,2072 -5.8777e-05,0.00592209,0.62863,121.081.,2338 -5.6608e-05,0.00592209,0.617215,121.038.,3021 -5.74614e-05,0.00592209,0.626088,112.392.,2182 -6.86466e-05,0.00592209,0.631893,121.148.,2246 -4.77969e-05,0.00592209,0.635218,117.053.,2939 -5.50553e-05,0.00592209,0.610707,123.651.,1417 -6.89628e-05,0.00592209,0.638474,128.446.,1840 -6.85622e-05,0.00592209,0.620769,115.527.,2116 -5.28017e-05,0.00592209,0.614948,121.456.,2178 -7.06916e-05,0.00592209,0.61804,127.418.,2354 -6.81788e-05,0.00592209,0.616056,113.541.,2768 -7.89711e-05,0.00592209,0.615108,116.805.,2293 -5.84297e-05,0.00592209,0.612733,123.244.,2206 -5.53374e-05,0.00592209,0.605062,123.095.,1902 -5.51739e-05,0.00592209,0.631543,115.9.,3145 -6.9413e-05,0.00592209,0.59103,124.024.,1475 -5.08739e-05,0.00592209,0.621454,114.685.,3356 -5.95256e-05,0.00592209,0.626188,113.428.,2336 -5.63659e-05,0.00592209,0.618554,117.456.,2105 -6.32019e-05,0.00592209,0.616926,122.15.,1799 -6.05333e-05,0.00592209,0.613481,124.576.,1873 -5.35997e-05,0.00592209,0.621122,113.63.,2834 -5.94187e-05,0.00592209,0.606925,126.608.,1970 -6.52182e-05,0.00592209,0.610882,129.916.,1246 -6.78626e-05,0.00592209,0.608581,119.673.,2155 -5.12495e-05,0.00592209,0.6262,116.233.,3037 -6.7083e-05,0.00592209,0.608299,125.086.,1595 -6.74099e-05,0.00592209,0.620429,112.897.,2800 -0.000136559,0.00740261,0.64595,104.911.,1607 -0.000119061,0.00740261,0.648063,102.122.,2160 -0.00014586,0.00740261,0.662359,100.463.,1781 -0.000143911,0.00740261,0.647409,111.329.,1435 -0.000100089,0.00740261,0.660347,104.712.,1394 -0.00019449,0.00740261,0.643112,100.048.,1764 -0.000139001,0.00740261,0.636985,102.05.,1923 -9.23895e-05,0.00740261,0.651932,98.3549.,2200 -0.000151896,0.00740261,0.654589,93.4038.,2609 -9.96526e-05,0.00740261,0.663458,104.028.,1515 -0.000140183,0.00740261,0.655494,102.965.,1602 -0.000146938,0.00740261,0.656983,102.822.,1591 -0.000127648,0.00740261,0.644146,97.9662.,2250 -0.000133108,0.00740261,0.653198,100.341.,2206 -0.000136798,0.00740261,0.639845,109.73.,1540 -0.000101394,0.00740261,0.6633,99.6362.,2820 -0.000125845,0.00740261,0.647015,113.29.,1861 -0.000104427,0.00740261,0.647875,112.572.,1198 -0.000140362,0.00740261,0.669356,86.3175.,2124 -0.000114307,0.00740261,0.669332,91.637.,2806 -9.09613e-05,0.00740261,0.653191,107.27.,1502 -0.000130204,0.00740261,0.651758,110.797.,1133 -0.00014725,0.00740261,0.649409,99.0484.,1656 -0.000110507,0.00740261,0.651763,94.2222.,2395 -0.000153747,0.00740261,0.653734,104.417.,2041 -0.000108131,0.00740261,0.648279,96.4144.,2267 -0.000126425,0.00740261,0.658424,108.23.,1793 -0.00011876,0.00740261,0.658874,98.5045.,1906 -7.79227e-05,0.00740261,0.664063,93.4554.,2181 -0.000124995,0.00740261,0.649892,110.564.,1778 -0.000135721,0.00740261,0.665436,104.082.,1365 -0.000108043,0.00740261,0.665742,95.1024.,2120 -0.00013341,0.00740261,0.654181,100.132.,2496 -0.000107614,0.00740261,0.659173,102.451.,2798 -0.000126198,0.00740261,0.643969,116.302.,1655 -0.000110899,0.00740261,0.660032,98.5173.,2555 -0.000158971,0.00740261,0.641391,104.428.,1847 -0.000156538,0.00740261,0.647057,104.909.,2023 -0.000124514,0.00740261,0.649594,106.289.,1776 -0.000141513,0.00740261,0.650988,106.708.,1510 -0.000138867,0.00740261,0.653552,108.022.,1558 -9.31002e-05,0.00740261,0.648143,97.8253.,2547 -0.00011634,0.00740261,0.659954,114.829.,1103 -0.000104627,0.00740261,0.658879,115.054.,1440 -0.000136417,0.00740261,0.6429,106.6.,1345 -0.00012931,0.00740261,0.63474,105.157.,1201 -0.000107738,0.00740261,0.671551,93.2856.,2956 -0.000114915,0.00740261,0.654224,98.8994.,1428 -0.000104432,0.00740261,0.642969,117.524.,1103 -0.00013635,0.00740261,0.671219,97.0705.,2329 -0.00014468,0.00740261,0.64633,95.9897.,1552 -0.000131339,0.00740261,0.65456,104.384.,2112 -0.000137424,0.00740261,0.641967,104.01.,1864 -0.000119603,0.00740261,0.643056,104.585.,1573 -0.000152567,0.00740261,0.66439,98.8101.,1297 -9.48346e-05,0.00740261,0.657038,104.262.,2105 -0.000134127,0.00740261,0.65476,95.1758.,2638 -0.000115945,0.00740261,0.655308,109.61.,1354 -8.95548e-05,0.00740261,0.642705,96.3427.,2743 -0.000177255,0.00740261,0.658675,106.331.,1506 -9.39073e-05,0.00740261,0.655253,103.753.,1723 -0.000118136,0.00740261,0.646319,106.698.,1690 -0.000143213,0.00740261,0.662647,97.9397.,1209 -0.000124885,0.00740261,0.65789,106.656.,1534 -0.000122815,0.00740261,0.673803,102.299.,1433 -0.00011158,0.00740261,0.652635,104.71.,1827 -0.000143072,0.00740261,0.651031,99.6516.,1526 -0.000121757,0.00740261,0.681384,85.3402.,4935 -9.94695e-05,0.00740261,0.651079,103.875.,2087 -0.000161101,0.00740261,0.654378,99.7871.,1947 -0.000122246,0.00740261,0.65679,99.823.,2190 -0.000147347,0.00740261,0.6422,110.554.,1301 -0.000112197,0.00740261,0.654611,114.952.,998 -0.00011529,0.00740261,0.643761,99.7046.,1245 -0.000161519,0.00740261,0.653702,96.1227.,2219 -0.000137877,0.00740261,0.646996,94.9822.,3061 -0.000113204,0.00740261,0.629358,109.207.,1124 -0.000160504,0.00740261,0.643509,106.855.,1157 -0.000115618,0.00740261,0.667462,110.589.,1601 -0.000155458,0.00740261,0.663885,96.4926.,1549 -0.00012474,0.00740261,0.64672,104.201.,1704 -0.000147478,0.00740261,0.656898,95.364.,2012 -0.000134001,0.00740261,0.648474,95.9782.,1790 -0.00013438,0.00740261,0.648077,109.152.,1449 -0.000140607,0.00740261,0.640552,99.7984.,1505 -0.000107889,0.00740261,0.663999,106.249.,1998 -0.000149274,0.00740261,0.662709,91.3925.,1790 -0.000121329,0.00740261,0.647837,102.095.,2291 -0.000104416,0.00740261,0.663697,108.615.,1725 -0.000103746,0.00740261,0.656774,100.235.,2358 -9.74274e-05,0.00740261,0.655777,102.616.,2110 -9.50543e-05,0.00740261,0.639904,114.163.,1233 -0.000151294,0.00740261,0.645149,107.106.,1845 -0.000134623,0.00740261,0.657907,94.8621.,1577 -8.51088e-05,0.00740261,0.66594,91.0518.,2146 -0.000131458,0.00740261,0.642009,112.361.,1165 -0.000162778,0.00740261,0.642773,119.675.,1364 -0.000113733,0.00740261,0.652888,102.147.,2012 -0.000119502,0.00740261,0.65036,103.006.,1817 -0.000123499,0.00740261,0.642794,104.759.,1498 -7.33021e-05,0.0103637,0.695354,85.1149.,1998 -9.86305e-05,0.0103637,0.696996,82.2095.,2127 -9.13367e-05,0.0103637,0.699654,93.8283.,1339 -5.75201e-05,0.0103637,0.685872,99.4121.,1936 -8.29441e-05,0.0103637,0.689831,84.7928.,1570 -8.37538e-05,0.0103637,0.687731,89.4784.,1535 -7.72656e-05,0.0103637,0.692668,98.0445.,1478 -5.69885e-05,0.0103637,0.686888,82.4413.,2455 -7.94244e-05,0.0103637,0.690775,95.9898.,1700 -9.02474e-05,0.0103637,0.702276,82.9514.,1923 -7.38352e-05,0.0103637,0.679235,95.6417.,1518 -0.000106945,0.0103637,0.68402,97.597.,1496 -7.83009e-05,0.0103637,0.693436,92.8455.,2190 -4.40066e-05,0.0103637,0.683834,87.554.,2604 -0.000109585,0.0103637,0.689338,88.0962.,1754 -8.75302e-05,0.0103637,0.6934,92.764.,1940 -6.00375e-05,0.0103637,0.700927,92.6177.,1908 -6.18399e-05,0.0103637,0.683082,91.9667.,1509 -0.000116728,0.0103637,0.700828,82.2732.,1821 -9.10256e-05,0.0103637,0.692394,94.741.,1626 -8.72593e-05,0.0103637,0.685888,87.4631.,1578 -8.07573e-05,0.0103637,0.686368,99.0457.,1287 -5.47625e-05,0.0103637,0.70257,83.0585.,3707 -9.642e-05,0.0103637,0.690792,87.7612.,1962 -5.6002e-05,0.0103637,0.697936,92.4952.,2188 -9.19145e-05,0.0103637,0.696617,87.4672.,1709 -9.30803e-05,0.0103637,0.69225,85.5196.,1738 -5.5693e-05,0.0103637,0.70504,96.1244.,1800 -5.53709e-05,0.0103637,0.688722,80.3879.,2687 -0.000103781,0.0103637,0.702795,88.557.,1964 -9.48859e-05,0.0103637,0.707829,80.9192.,1809 -5.9123e-05,0.0103637,0.692679,88.0159.,2308 -0.000104426,0.0103637,0.687809,92.5849.,1592 -7.17017e-05,0.0103637,0.688038,95.6485.,1590 -9.04185e-05,0.0103637,0.696046,82.6378.,2400 -8.52955e-05,0.0103637,0.68677,86.2912.,1972 -6.0231e-05,0.0103637,0.692419,87.6295.,2138 -6.19528e-05,0.0103637,0.677021,93.7818.,2474 -4.86728e-05,0.0103637,0.695779,81.2872.,1966 -0.000112679,0.0103637,0.683283,92.884.,1525 -3.35026e-05,0.0103637,0.693536,85.1577.,2834 -0.000111562,0.0103637,0.701278,82.4601.,1494 -5.60467e-05,0.0103637,0.693734,88.7562.,2850 -8.91618e-05,0.0103637,0.695836,85.7044.,1825 -5.86723e-05,0.0103637,0.695234,90.0389.,1775 -0.000124082,0.0103637,0.693874,90.6256.,1832 -7.59202e-05,0.0103637,0.695028,86.5225.,1412 -9.78369e-05,0.0103637,0.691068,93.0686.,1522 -0.000133166,0.0103637,0.70704,86.9607.,2158 -6.94058e-05,0.0103637,0.687931,91.6042.,2246 -6.23195e-05,0.0103637,0.686537,100.349.,1409 -5.2505e-05,0.0103637,0.695303,78.4994.,3239 -0.000118392,0.0103637,0.689132,89.8504.,1612 -9.63249e-05,0.0103637,0.687783,83.6403.,2080 -5.99358e-05,0.0103637,0.690797,101.654.,1713 -7.13858e-05,0.0103637,0.696033,99.3329.,1566 -8.29146e-05,0.0103637,0.694109,92.788.,1932 -6.941e-05,0.0103637,0.689276,83.6513.,2264 -7.01229e-05,0.0103637,0.685375,85.7803.,2056 -6.00461e-05,0.0103637,0.694496,83.9198.,2334 -7.17098e-05,0.0103637,0.691257,97.1194.,1678 -5.56866e-05,0.0103637,0.693604,86.66.,3172 -8.57536e-05,0.0103637,0.696875,95.519.,1736 -5.44961e-05,0.0103637,0.705914,94.3315.,2152 -0.00010223,0.0103637,0.696688,89.9138.,1796 -8.7968e-05,0.0103637,0.70126,89.7127.,1584 -5.85877e-05,0.0103637,0.685943,88.7631.,2666 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+102.451 +116.302 +98.5173 +104.428 +104.909 +106.289 +106.708 +108.022 +97.8253 +114.829 +115.054 +106.6 +105.157 +93.2856 +98.8994 +117.524 +97.0705 +95.9897 +104.384 +104.01 +104.585 +98.8101 +104.262 +95.1758 +109.61 +96.3427 +106.331 +103.753 +106.698 +97.9397 +106.656 +102.299 +104.71 +99.6516 +85.3402 +103.875 +99.7871 +99.823 +110.554 +114.952 +99.7046 +96.1227 +94.9822 +109.207 +106.855 +110.589 +96.4926 +104.201 +95.364 +95.9782 +109.152 +99.7984 +106.249 +91.3925 +102.095 +108.615 +100.235 +102.616 +114.163 +107.106 +94.8621 +91.0518 +112.361 +119.675 +102.147 +103.006 +104.759 +85.1149 +82.2095 +93.8283 +99.4121 +84.7928 +89.4784 +98.0445 +82.4413 +95.9898 +82.9514 +95.6417 +97.597 +92.8455 +87.554 +88.0962 +92.764 +92.6177 +91.9667 +82.2732 +94.741 +87.4631 +99.0457 +83.0585 +87.7612 +92.4952 +87.4672 +85.5196 +96.1244 +80.3879 +88.557 +80.9192 +88.0159 +92.5849 +95.6485 +82.6378 +86.2912 +87.6295 +93.7818 +81.2872 +92.884 +85.1577 +82.4601 +88.7562 +85.7044 +90.0389 +90.6256 +86.5225 +93.0686 +86.9607 +91.6042 +100.349 +78.4994 +89.8504 +83.6403 +101.654 +99.3329 +92.788 +83.6513 +85.7803 +83.9198 +97.1194 +86.66 +95.519 +94.3315 +89.9138 +89.7127 +88.7631 +86.5084 +93.2268 +86.4354 +91.7037 +89.9394 +82.762 +81.379 +80.2224 +79.8926 +95.5281 +87.6941 +101.649 +85.3415 +86.2938 +101.265 +84.5136 +90.5252 +90.4494 +94.5348 +77.2599 +89.5657 +78.0427 +91.3327 +116.609 +83.6798 +89.0655 +82.225 +90.5327 +78.9694 +83.061 +97.7498 +87.9928 +83.4737 diff --git a/dokumentation/evolution3d/4x4xX.gnuplot.fit.log b/dokumentation/evolution3d/4x4xX.gnuplot.fit.log index 59b167c..c5a5687 100644 --- a/dokumentation/evolution3d/4x4xX.gnuplot.fit.log +++ b/dokumentation/evolution3d/4x4xX.gnuplot.fit.log @@ -1,7 +1,7 @@ ******************************************************************************* -Mon Oct 16 12:22:40 2017 +Wed Oct 25 19:14:24 2017 FIT: data read from "4x4xX.csv" every ::1 using 1:5 @@ -47,7 +47,7 @@ b -0.938 1.000 ******************************************************************************* -Mon Oct 16 12:22:40 2017 +Wed Oct 25 19:14:24 2017 FIT: data read from "4x4xX.csv" every ::1 using 3:5 @@ -93,7 +93,7 @@ bb -0.999 1.000 ******************************************************************************* -Mon Oct 16 12:22:40 2017 +Wed Oct 25 19:14:24 2017 FIT: data read from "4x4xX.csv" every ::1 using 3:4 @@ -139,7 +139,7 @@ bbb -0.999 1.000 ******************************************************************************* -Mon Oct 16 12:22:40 2017 +Wed Oct 25 19:14:24 2017 FIT: data read from "4x4xX.csv" every ::1 using 2:4 diff --git a/dokumentation/evolution3d/4x4xX.gnuplot.script b/dokumentation/evolution3d/4x4xX.gnuplot.script index f83c230..af9e943 100644 --- a/dokumentation/evolution3d/4x4xX.gnuplot.script +++ b/dokumentation/evolution3d/4x4xX.gnuplot.script @@ -5,22 +5,22 @@ set terminal png set xlabel 'regularity' set ylabel 'steps' set output "4x4xX_regularity-vs-steps.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 1:5 title "4x4x4", "20171005_3dFit_4x4x5_100times.csv" every ::1 using 1:5 title "4x4x5", "20171013_3dFit_4x4x7_100times.csv" every ::1 using 1:5 title "4x4x7", f(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 1:5 title "4x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 1:5 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 1:5 title "4x4x7" pt 2, f(x) title "lin. fit" lc rgb "black" g(x)=aa*x+bb fit g(x) "4x4xX.csv" every ::1 using 3:5 via aa,bb set xlabel 'improvement potential' set ylabel 'steps' set output "4x4xX_improvement-vs-steps.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:5 title "4x4x4", "20171005_3dFit_4x4x5_100times.csv" every ::1 using 3:5 title "4x4x5", "20171013_3dFit_4x4x7_100times.csv" every ::1 using 3:5 title "4x4x7", g(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:5 title "4x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 3:5 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 3:5 title "4x4x7" pt 2, g(x) title "lin. fit" lc rgb "black" h(x)=aaa*x+bbb fit h(x) "4x4xX.csv" every ::1 using 3:4 via aaa,bbb set xlabel 'improvement potential' set ylabel 'evolution error' set output "4x4xX_improvement-vs-evo-error.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:4 title "4x4x4", "20171005_3dFit_4x4x5_100times.csv" every ::1 using 3:4 title "4x4x5", "20171013_3dFit_4x4x7_100times.csv" every ::1 using 3:4 title "4x4x7", h(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:4 title "4x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 3:4 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 3:4 title "4x4x7" pt 2, h(x) title "lin. fit" lc rgb "black" i(x)=aaaa*x+bbbb fit i(x) "4x4xX.csv" every ::1 using 2:4 via aaaa,bbbb set xlabel 'variability' set ylabel 'evolution error' set output "4x4xX_variability-vs-evo-error.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 2:4 title "4x4x4", "20171005_3dFit_4x4x5_100times.csv" every ::1 using 2:4 title "4x4x5", "20171013_3dFit_4x4x7_100times.csv" every ::1 using 2:4 title "4x4x7", i(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 2:4 title "4x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 2:4 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 2:4 title "4x4x7" pt 2, i(x) title "lin. fit" lc rgb "black" diff --git a/dokumentation/evolution3d/4x4xX.mms b/dokumentation/evolution3d/4x4xX.mms new file mode 100644 index 0000000..ca4b946 --- /dev/null +++ b/dokumentation/evolution3d/4x4xX.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing 4x4xX.csv" +[1] "Mean:" +[1] 103.7625 +[1] "Median:" +[1] 103.3795 +[1] "Sigma:" +[1] 13.69887 +[1] "Range:" +[1] 77.2599 129.9160 diff --git a/dokumentation/evolution3d/4x4xX.spearman b/dokumentation/evolution3d/4x4xX.spearman new file mode 100644 index 0000000..59e9415 --- /dev/null +++ b/dokumentation/evolution3d/4x4xX.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing 4x4xX.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.0 -0.9 +y -0.9 1.0 + +n= 300 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 -0.13 +y -0.13 1.00 + +n= 300 + + +P + x y +x 0.0232 +y 0.0232 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.46 +y -0.46 1.00 + +n= 300 + + +P + x y +x 0 +y 0 +[1] "spearman for variability vs. evolution-error" + x y +x 1.00 -0.89 +y -0.89 1.00 + +n= 300 + + +P + x y +x 0 +y 0 diff --git a/dokumentation/evolution3d/4x4xX_improvement-vs-evo-error.png b/dokumentation/evolution3d/4x4xX_improvement-vs-evo-error.png index cbd5f42..6cc0286 100644 Binary files a/dokumentation/evolution3d/4x4xX_improvement-vs-evo-error.png and b/dokumentation/evolution3d/4x4xX_improvement-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/4x4xX_improvement-vs-steps.png b/dokumentation/evolution3d/4x4xX_improvement-vs-steps.png index 1be8475..b35274a 100644 Binary files a/dokumentation/evolution3d/4x4xX_improvement-vs-steps.png and b/dokumentation/evolution3d/4x4xX_improvement-vs-steps.png differ diff --git a/dokumentation/evolution3d/4x4xX_regularity-vs-steps.png b/dokumentation/evolution3d/4x4xX_regularity-vs-steps.png index 1943f6a..15d3a8d 100644 Binary files a/dokumentation/evolution3d/4x4xX_regularity-vs-steps.png and b/dokumentation/evolution3d/4x4xX_regularity-vs-steps.png differ diff --git a/dokumentation/evolution3d/4x4xX_variability-vs-evo-error.png b/dokumentation/evolution3d/4x4xX_variability-vs-evo-error.png index f29126b..0d7753f 100644 Binary files a/dokumentation/evolution3d/4x4xX_variability-vs-evo-error.png and b/dokumentation/evolution3d/4x4xX_variability-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/R_analysis.sh b/dokumentation/evolution3d/R_analysis.sh new file mode 100755 index 0000000..8cf644f --- /dev/null +++ b/dokumentation/evolution3d/R_analysis.sh @@ -0,0 +1,32 @@ +#!/bin/bash + +# regularity,variability,improvement,"Evolution error",steps +# 6.57581e-05,0.00592209,0.622392,113.016,2368 + +if [[ -f "$1" ]]; then + +R -q --slave --vanilla <" +fi + diff --git a/dokumentation/evolution3d/R_mean_med_sigma.sh b/dokumentation/evolution3d/R_mean_med_sigma.sh new file mode 100755 index 0000000..a09e4d1 --- /dev/null +++ b/dokumentation/evolution3d/R_mean_med_sigma.sh @@ -0,0 +1,26 @@ +#!/bin/bash + +# regularity,variability,improvement,"Evolution error",steps +# 6.57581e-05,0.00592209,0.622392,113.016,2368 + +if [[ -f "$2" ]]; then + +R -q --slave --vanilla < " +fi + diff --git a/dokumentation/evolution3d/Xx4x4.csv b/dokumentation/evolution3d/Xx4x4.csv index 1ece114..92e9b0d 100644 --- a/dokumentation/evolution3d/Xx4x4.csv +++ b/dokumentation/evolution3d/Xx4x4.csv @@ -1,301 +1,301 @@ regularity,variability,improvement,"Evolution error",steps -6.57581e-05,0.00592209,0.622392,113.016.,2368 -5.16451e-05,0.00592209,0.610293,118.796.,2433 -6.45083e-05,0.00592209,0.592139,127.157.,1655 -7.14801e-05,0.00592209,0.624039,121.613.,1933 -5.62707e-05,0.00592209,0.611091,119.539.,2618 -5.55953e-05,0.00592209,0.625812,119.512.,2505 -5.96026e-05,0.00592209,0.622873,118.285.,1582 -6.63676e-05,0.00592209,0.602386,126.579.,2214 -5.93125e-05,0.00592209,0.608913,122.512.,2262 -6.05066e-05,0.00592209,0.621467,118.473.,2465 -6.42976e-05,0.00592209,0.602593,121.998.,2127 -5.32868e-05,0.00592209,0.616501,115.313.,2746 -5.47856e-05,0.00592209,0.615173,118.034.,2148 -6.47209e-05,0.00592209,0.603935,120.003.,2304 -7.07812e-05,0.00592209,0.620422,123.494.,1941 -6.49313e-05,0.00592209,0.616232,122.989.,2214 -6.64295e-05,0.00592209,0.605206,123.757.,1675 -5.88806e-05,0.00592209,0.628055,110.67.,2230 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+7.2695e-05,0.0103637,0.701524,86.13,655 +5.20609e-05,0.0103637,0.708881,85.3256,544 +8.70549e-05,0.0103637,0.694314,83.3977,1043 +8.10432e-05,0.0103637,0.698992,84.789,346 +7.37989e-05,0.0103637,0.701496,88.6137,628 +8.71038e-05,0.0103637,0.699252,82.1479,722 +5.45338e-05,0.0103637,0.698811,75.152,1091 +8.03217e-05,0.0103637,0.705705,82.7487,520 +5.41156e-05,0.0103637,0.709819,84.791,563 +5.61967e-05,0.0103637,0.699009,93.4055,421 +9.10031e-05,0.0103637,0.71564,74.1192,1174 +8.14274e-05,0.0103637,0.720275,83.2161,659 +5.95189e-05,0.0103637,0.695324,94.8049,409 +9.35358e-05,0.0103637,0.69516,72.2744,940 +9.20895e-05,0.0103637,0.702738,93.935,271 +5.44486e-05,0.0103637,0.700355,96.7835,658 +8.01134e-05,0.0103637,0.709106,86.4099,837 +0.000126472,0.0103637,0.717211,87.3714,238 +9.41776e-05,0.0103637,0.69913,77.0284,825 +9.04576e-05,0.0103637,0.68161,74.9314,905 +5.60715e-05,0.0103637,0.693052,87.7317,586 +5.48228e-05,0.0103637,0.701331,91.005,426 +7.2926e-05,0.0103637,0.710403,76.2978,988 +7.8762e-05,0.0103637,0.688174,84.0268,1029 +6.12664e-05,0.0103637,0.68999,82.958,723 +7.71916e-05,0.0103637,0.704695,80.859,877 +6.14353e-05,0.0103637,0.72228,78.3619,827 +0.000117261,0.0103637,0.697211,87.6379,627 +6.42763e-05,0.0103637,0.701242,82.0693,796 +5.84661e-05,0.0103637,0.701132,75.4678,1262 +3.73013e-05,0.0103637,0.693116,85.7208,677 +7.05513e-05,0.0103637,0.722625,78.6163,860 +5.73876e-05,0.0103637,0.706571,97.2452,392 +7.54649e-05,0.0103637,0.702395,80.0625,810 +5.35854e-05,0.0103637,0.706181,85.7072,755 +8.22107e-05,0.0103637,0.700251,75.0646,1089 +7.8252e-05,0.0103637,0.684139,82.1324,773 +8.1221e-05,0.0103637,0.691527,90.3791,611 +0.000110163,0.0103637,0.702362,99.9413,506 +5.54961e-05,0.0103637,0.709284,72.5502,882 +7.37375e-05,0.0103637,0.696269,83.4268,761 +8.96068e-05,0.0103637,0.707139,87.4954,393 +5.39211e-05,0.0103637,0.696067,83.3203,762 +7.70122e-05,0.0103637,0.702879,91.7128,613 diff --git a/dokumentation/evolution3d/Xx4x4.error b/dokumentation/evolution3d/Xx4x4.error new file mode 100644 index 0000000..c6657d5 --- /dev/null +++ b/dokumentation/evolution3d/Xx4x4.error @@ -0,0 +1,301 @@ +"Evolution error +113.016 +118.796 +127.157 +121.613 +119.539 +119.512 +118.285 +126.579 +122.512 +118.473 +121.998 +115.313 +118.034 +120.003 +123.494 +122.989 +123.757 +110.67 +121.232 +120.979 +115.394 +116.928 +125.294 +111.635 +114.681 +111.935 +111.392 +115.346 +119.055 +117.452 +123.379 +115.053 +123.994 +118.576 +116.894 +120.129 +126.708 +114.595 +120.056 +122.057 +116.846 +124.35 +118.43 +116.574 +128.474 +111.111 +120.004 +119.866 +119.676 +128.957 +108.467 +123.353 +123.301 +114.838 +118.611 +109.616 +113.565 +120.01 +125.441 +122.541 +123.169 +117.344 +112.674 +118.787 +112.061 +110.262 +116.504 +109.607 +122.198 +124.527 +120.886 +119.176 +121.081 +121.038 +112.392 +121.148 +117.053 +123.651 +128.446 +115.527 +121.456 +127.418 +113.541 +116.805 +123.244 +123.095 +115.9 +124.024 +114.685 +113.428 +117.456 +122.15 +124.576 +113.63 +126.608 +129.916 +119.673 +116.233 +125.086 +112.897 +91.4882 +95.001 +97.72 +99.0429 +102.273 +98.0028 +101.929 +103.969 +92.5069 +118.88 +96.2138 +100.164 +95.9282 +96.3737 +107.927 +98.0377 +94.9011 +102.223 +126.177 +101.879 +90.0009 +101.026 +94.5618 +99.2481 +94.1741 +102.894 +103.993 +96.549 +90.1281 +104.444 +104.542 +107.051 +102.128 +105.315 +104.097 +96.8133 +99.8496 +103.385 +108.874 +112.975 +113.068 +99.4226 +115.742 +94.4964 +103.45 +116.123 +98.1676 +105.069 +108.953 +91.997 +95.3832 +87.7666 +97.0353 +99.1089 +95.5062 +130.854 +101.333 +96.735 +98.5471 +107.22 +97.6237 +105.503 +110.648 +95.6589 +98.2938 +103.401 +110.527 +96.7363 +95.9747 +93.9381 +101.823 +115.05 +101.306 +102.493 +94.8579 +108.05 +101.873 +113.606 +97.6295 +94.5646 +89.2764 +97.445 +101.923 +103.308 +92.9774 +95.1595 +101.54 +106.698 +108.192 +101.598 +102.393 +105.018 +94.0851 +97.1255 +100.425 +100.988 +100.096 +95.9289 +89.3173 +103.315 +105.032 +91.0336 +74.0894 +77.0829 +84.9413 +103.909 +88.0771 +93.4708 +83.1573 +80.9548 +78.1902 +84.7296 +94.4156 +84.0696 +83.4435 +88.5741 +77.5017 +82.8934 +89.5173 +92.6297 +88.5844 +82.1173 +73.2 +84.76 +73.4001 +92.3227 +84.2123 +84.2583 +78.5571 +89.2675 +81.8836 +83.885 +91.469 +81.0534 +90.3739 +85.6114 +91.687 +90.1008 +89.7677 +79.4512 +86.5543 +88.7329 +91.8764 +85.9747 +82.843 +83.5281 +78.0961 +104.49 +88.2734 +102.032 +85.7869 +90.7034 +89.582 +83.1789 +75.4405 +79.2881 +86.13 +85.3256 +83.3977 +84.789 +88.6137 +82.1479 +75.152 +82.7487 +84.791 +93.4055 +74.1192 +83.2161 +94.8049 +72.2744 +93.935 +96.7835 +86.4099 +87.3714 +77.0284 +74.9314 +87.7317 +91.005 +76.2978 +84.0268 +82.958 +80.859 +78.3619 +87.6379 +82.0693 +75.4678 +85.7208 +78.6163 +97.2452 +80.0625 +85.7072 +75.0646 +82.1324 +90.3791 +99.9413 +72.5502 +83.4268 +87.4954 +83.3203 +91.7128 diff --git a/dokumentation/evolution3d/Xx4x4.gnuplot.fit.log b/dokumentation/evolution3d/Xx4x4.gnuplot.fit.log index 9c7e917..bb17725 100644 --- a/dokumentation/evolution3d/Xx4x4.gnuplot.fit.log +++ b/dokumentation/evolution3d/Xx4x4.gnuplot.fit.log @@ -1,7 +1,7 @@ ******************************************************************************* -Mon Oct 16 12:15:22 2017 +Wed Oct 25 19:14:30 2017 FIT: data read from "Xx4x4.csv" every ::1 using 1:5 @@ -47,7 +47,7 @@ b -0.934 1.000 ******************************************************************************* -Mon Oct 16 12:15:22 2017 +Wed Oct 25 19:14:30 2017 FIT: data read from "Xx4x4.csv" every ::1 using 3:5 @@ -93,7 +93,7 @@ bb -0.999 1.000 ******************************************************************************* -Mon Oct 16 12:15:22 2017 +Wed Oct 25 19:14:30 2017 FIT: data read from "Xx4x4.csv" every ::1 using 3:4 @@ -139,7 +139,7 @@ bbb -0.999 1.000 ******************************************************************************* -Mon Oct 16 12:15:22 2017 +Wed Oct 25 19:14:30 2017 FIT: data read from "Xx4x4.csv" every ::1 using 2:4 diff --git a/dokumentation/evolution3d/Xx4x4.gnuplot.script b/dokumentation/evolution3d/Xx4x4.gnuplot.script index e4a19e8..3d5f05d 100644 --- a/dokumentation/evolution3d/Xx4x4.gnuplot.script +++ b/dokumentation/evolution3d/Xx4x4.gnuplot.script @@ -5,22 +5,22 @@ set terminal png set xlabel 'regularity' set ylabel 'steps' set output "Xx4x4_regularity-vs-steps.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 1:5 title "4x4x4", "20171013_3dFit_5x4x4_100times.csv" every ::1 using 1:5 title "5x4x4", "20171005_3dFit_7x4x4_100times.csv" every ::1 using 1:5 title "7x4x4", f(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 1:5 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 1:5 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 1:5 title "7x4x4" pt 2, f(x) title "lin. fit" lc rgb "black" g(x)=aa*x+bb fit g(x) "Xx4x4.csv" every ::1 using 3:5 via aa,bb set xlabel 'improvement potential' set ylabel 'steps' set output "Xx4x4_improvement-vs-steps.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:5 title "4x4x4", "20171013_3dFit_5x4x4_100times.csv" every ::1 using 3:5 title "5x4x4", "20171005_3dFit_7x4x4_100times.csv" every ::1 using 3:5 title "7x4x4", g(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:5 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 3:5 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 3:5 title "7x4x4" pt 2, g(x) title "lin. fit" lc rgb "black" h(x)=aaa*x+bbb fit h(x) "Xx4x4.csv" every ::1 using 3:4 via aaa,bbb set xlabel 'improvement potential' set ylabel 'evolution error' set output "Xx4x4_improvement-vs-evo-error.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:4 title "4x4x4", "20171013_3dFit_5x4x4_100times.csv" every ::1 using 3:4 title "5x4x4", "20171005_3dFit_7x4x4_100times.csv" every ::1 using 3:4 title "7x4x4", h(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:4 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 3:4 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 3:4 title "7x4x4" pt 2, h(x) title "lin. fit" lc rgb "black" i(x)=aaaa*x+bbbb fit i(x) "Xx4x4.csv" every ::1 using 2:4 via aaaa,bbbb set xlabel 'variability' set ylabel 'evolution error' set output "Xx4x4_variability-vs-evo-error.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 2:4 title "4x4x4", "20171013_3dFit_5x4x4_100times.csv" every ::1 using 2:4 title "5x4x4", "20171005_3dFit_7x4x4_100times.csv" every ::1 using 2:4 title "7x4x4", i(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 2:4 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 2:4 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 2:4 title "7x4x4" pt 2, i(x) title "lin. fit" lc rgb "black" diff --git a/dokumentation/evolution3d/Xx4x4.mms b/dokumentation/evolution3d/Xx4x4.mms new file mode 100644 index 0000000..e138d53 --- /dev/null +++ b/dokumentation/evolution3d/Xx4x4.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing Xx4x4.csv" +[1] "Mean:" +[1] 101.9338 +[1] "Median:" +[1] 101.4365 +[1] "Sigma:" +[1] 15.31929 +[1] "Range:" +[1] 72.2744 130.8540 diff --git a/dokumentation/evolution3d/Xx4x4.spearman b/dokumentation/evolution3d/Xx4x4.spearman new file mode 100644 index 0000000..6268991 --- /dev/null +++ b/dokumentation/evolution3d/Xx4x4.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing Xx4x4.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.89 +y -0.89 1.00 + +n= 300 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 -0.69 +y -0.69 1.00 + +n= 300 + + +P + x y +x 0 +y 0 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.46 +y -0.46 1.00 + +n= 300 + + +P + x y +x 0 +y 0 +[1] "spearman for variability vs. evolution-error" + x y +x 1.0 -0.9 +y -0.9 1.0 + +n= 300 + + +P + x y +x 0 +y 0 diff --git a/dokumentation/evolution3d/Xx4x4_improvement-vs-evo-error.png b/dokumentation/evolution3d/Xx4x4_improvement-vs-evo-error.png index 9c60ce2..e5ee0e2 100644 Binary files a/dokumentation/evolution3d/Xx4x4_improvement-vs-evo-error.png and b/dokumentation/evolution3d/Xx4x4_improvement-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/Xx4x4_improvement-vs-steps.png b/dokumentation/evolution3d/Xx4x4_improvement-vs-steps.png index e2ec49b..54735a0 100644 Binary files a/dokumentation/evolution3d/Xx4x4_improvement-vs-steps.png and b/dokumentation/evolution3d/Xx4x4_improvement-vs-steps.png differ diff --git a/dokumentation/evolution3d/Xx4x4_regularity-vs-steps.png b/dokumentation/evolution3d/Xx4x4_regularity-vs-steps.png index 36710a4..27c165a 100644 Binary files a/dokumentation/evolution3d/Xx4x4_regularity-vs-steps.png and b/dokumentation/evolution3d/Xx4x4_regularity-vs-steps.png differ diff --git a/dokumentation/evolution3d/Xx4x4_variability-vs-evo-error.png b/dokumentation/evolution3d/Xx4x4_variability-vs-evo-error.png index 00c65ea..6ad35bd 100644 Binary files a/dokumentation/evolution3d/Xx4x4_variability-vs-evo-error.png and b/dokumentation/evolution3d/Xx4x4_variability-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/YxYxY.error b/dokumentation/evolution3d/YxYxY.error new file mode 100644 index 0000000..bc0476c --- /dev/null +++ b/dokumentation/evolution3d/YxYxY.error @@ -0,0 +1,311 @@ +"Evolution error +113.01 +118.79 +127.15 +121.61 +119.53 +119.51 +118.28 +126.57 +122.51 +118.47 +121.99 +115.31 +118.03 +120.00 +123.49 +122.98 +123.75 +110.6 +121.23 +120.97 +115.39 +116.92 +125.29 +111.63 +114.68 +111.93 +111.39 +115.34 +119.05 +117.45 +123.37 +115.05 +123.99 +118.57 +116.89 +120.12 +126.70 +114.59 +120.05 +122.05 +116.84 +124.3 +118.4 +116.57 +128.47 +111.11 +120.00 +119.86 +119.67 +128.95 +108.46 +123.35 +123.30 +114.83 +118.61 +109.61 +113.56 +120.0 +125.44 +122.54 +123.16 +117.34 +112.67 +118.78 +112.06 +110.26 +116.50 +109.60 +122.19 +124.52 +120.88 +119.17 +121.08 +121.03 +112.39 +121.14 +117.05 +123.65 +128.44 +115.52 +121.45 +127.41 +113.54 +116.80 +123.24 +123.09 +115. +124.02 +114.68 +113.42 +117.45 +122.1 +124.57 +113.6 +126.60 +129.91 +119.67 +116.23 +125.08 +112.89 +73.962 +79.330 +72.837 +60.003 +80.132 +66.152 +74.603 +71.316 +71.937 +70.12 +61.719 +86.610 +77.23 +70.305 +73.326 +72.860 +70.586 +79.885 +89.16 +86.350 +77.828 +70.41 +82.388 +80.325 +85.661 +76.237 +76.806 +75.025 +73.629 +71.814 +82.117 +68.422 +74.562 +82.429 +74.656 +76.587 +82.282 +71.32 +80.188 +60.002 +73.567 +68.754 +97.415 +81.163 +82.274 +70.41 +72.56 +70.196 +83.850 +82.362 +74.328 +84.210 +69.774 +82.137 +74.281 +78.98 +82.281 +74.061 +83.25 +72.45 +71.955 +93.815 +64.560 +81.59 +74.894 +71.93 +82.842 +66.082 +79.822 +80.220 +76.728 +75.286 +75.638 +79.307 +69.574 +76.494 +92.763 +83.393 +83.894 +73.560 +76.880 +70.70 +69.149 +79.653 +83.401 +88.580 +85.829 +72.544 +82.285 +83.824 +78.384 +84.606 +75.766 +78.425 +68.399 +72.152 +78.054 +89.114 +86.805 +75.205 +56.942 +65.867 +61.697 +64.185 +55.120 +63.449 +56.850 +68.788 +63.133 +71.616 +71.103 +55.091 +63.10 +56.797 +64.003 +63.272 +57.770 +61.995 +55.968 +78.096 +65.565 +65.529 +52.816 +59.649 +54.186 +64.437 +64.63 +61.12 +59.653 +61.056 +66.629 +70.468 +63.483 +58.255 +66.012 +57.823 +63.763 +58.072 +60.965 +62.239 +75.092 +55.202 +82.525 +60.459 +58.19 +65.212 +60.096 +75.388 +80.380 +55.266 +60.072 +62.338 +64.281 +61.703 +59.373 +65.762 +63.354 +56.931 +59.263 +73.352 +66.355 +60.246 +59.997 +66.07 +66.998 +56.122 +66.765 +65.50 +59.530 +59.776 +62.193 +61.246 +75.860 +69.803 +64.107 +66.44 +55.949 +74.218 +61.807 +65.216 +57.295 +52.018 +66.304 +68.997 +64.429 +57.303 +60.843 +61.587 +58.955 +58.081 +61.849 +58.890 +60.533 +66.948 +57.794 +62.523 +60.641 +72.343 +61.193 +59.778 +58.532 +60.322 +62.10 +65.345 +61.611 +62.142 +64.164 +59.235 +55.098 +64.696 diff --git a/dokumentation/evolution3d/YxYxY.gnuplot.fit.log b/dokumentation/evolution3d/YxYxY.gnuplot.fit.log index 327f0f2..f208377 100644 --- a/dokumentation/evolution3d/YxYxY.gnuplot.fit.log +++ b/dokumentation/evolution3d/YxYxY.gnuplot.fit.log @@ -1,7 +1,7 @@ ******************************************************************************* -Mon Oct 23 12:09:55 2017 +Wed Oct 25 19:14:34 2017 FIT: data read from "YxYxY.csv" every ::1 using 1:5 @@ -47,7 +47,7 @@ b -0.937 1.000 ******************************************************************************* -Mon Oct 23 12:09:55 2017 +Wed Oct 25 19:14:34 2017 FIT: data read from "YxYxY.csv" every ::1 using 3:5 @@ -93,7 +93,7 @@ bb -0.994 1.000 ******************************************************************************* -Mon Oct 23 12:09:55 2017 +Wed Oct 25 19:14:34 2017 FIT: data read from "YxYxY.csv" every ::1 using 3:4 @@ -139,7 +139,7 @@ bbb -0.994 1.000 ******************************************************************************* -Mon Oct 23 12:09:55 2017 +Wed Oct 25 19:14:34 2017 FIT: data read from "YxYxY.csv" every ::1 using 2:4 diff --git a/dokumentation/evolution3d/YxYxY.gnuplot.script b/dokumentation/evolution3d/YxYxY.gnuplot.script index 27e1023..4944136 100644 --- a/dokumentation/evolution3d/YxYxY.gnuplot.script +++ b/dokumentation/evolution3d/YxYxY.gnuplot.script @@ -5,22 +5,22 @@ set terminal png set xlabel 'regularity' set ylabel 'steps' set output "YxYxY_regularity-vs-steps.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 1:5 title "4x4x4", "20170926_3dFit_5x5x5_100times.csv" every ::1 using 1:5 title "5x5x5", "20171021-evolution3D_6x6_100Times.csv" every ::1 using 1:5 title "6x6x6", f(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 1:5 title "4x4x4" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 1:5 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 1:5 title "6x6x6" pt 2, f(x) title "lin. fit" lc rgb "black" g(x)=aa*x+bb fit g(x) "YxYxY.csv" every ::1 using 3:5 via aa,bb set xlabel 'improvement potential' set ylabel 'steps' set output "YxYxY_improvement-vs-steps.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:5 title "4x4x4", "20170926_3dFit_5x5x5_100times.csv" every ::1 using 3:5 title "5x5x5", "20171021-evolution3D_6x6_100Times.csv" every ::1 using 3:5 title "6x6x6", g(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:5 title "4x4x4" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 3:5 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 3:5 title "6x6x6" pt 2, g(x) title "lin. fit" lc rgb "black" h(x)=aaa*x+bbb fit h(x) "YxYxY.csv" every ::1 using 3:4 via aaa,bbb set xlabel 'improvement potential' set ylabel 'evolution error' set output "YxYxY_improvement-vs-evo-error.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:4 title "4x4x4", "20170926_3dFit_5x5x5_100times.csv" every ::1 using 3:4 title "5x5x5", "20171021-evolution3D_6x6_100Times.csv" every ::1 using 3:4 title "6x6x6", h(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:4 title "4x4x4" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 3:4 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 3:4 title "6x6x6" pt 2, h(x) title "lin. fit" lc rgb "black" i(x)=aaaa*x+bbbb fit i(x) "YxYxY.csv" every ::1 using 2:4 via aaaa,bbbb set xlabel 'variability' set ylabel 'evolution error' set output "YxYxY_variability-vs-evo-error.png" -plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 2:4 title "4x4x4", "20170926_3dFit_5x5x5_100times.csv" every ::1 using 2:4 title "5x5x5", "20171021-evolution3D_6x6_100Times.csv" every ::1 using 2:4 title "6x6x6", i(x) title "lin. fit" lc rgb "black" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 2:4 title "4x4x4" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 2:4 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 2:4 title "6x6x6" pt 2, i(x) title "lin. fit" lc rgb "black" diff --git a/dokumentation/evolution3d/YxYxY.mms b/dokumentation/evolution3d/YxYxY.mms new file mode 100644 index 0000000..0afac69 --- /dev/null +++ b/dokumentation/evolution3d/YxYxY.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing YxYxY.csv" +[1] "Mean:" +[1] 85.58962 +[1] "Median:" +[1] 76.04925 +[1] "Sigma:" +[1] 24.66794 +[1] "Range:" +[1] 52.0186 129.9160 diff --git a/dokumentation/evolution3d/YxYxY.spearman b/dokumentation/evolution3d/YxYxY.spearman new file mode 100644 index 0000000..98403d6 --- /dev/null +++ b/dokumentation/evolution3d/YxYxY.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing YxYxY.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.89 +y -0.89 1.00 + +n= 310 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 -0.81 +y -0.81 1.00 + +n= 310 + + +P + x y +x 0 +y 0 +[1] "spearman for regularity vs. steps" + x y +x 1.00 0.25 +y 0.25 1.00 + +n= 310 + + +P + x y +x 0 +y 0 +[1] "spearman for variability vs. evolution-error" + x y +x 1.00 -0.91 +y -0.91 1.00 + +n= 310 + + +P + x y +x 0 +y 0 diff --git a/dokumentation/evolution3d/YxYxY_improvement-vs-evo-error.png b/dokumentation/evolution3d/YxYxY_improvement-vs-evo-error.png index be32c29..edd0635 100644 Binary files a/dokumentation/evolution3d/YxYxY_improvement-vs-evo-error.png and b/dokumentation/evolution3d/YxYxY_improvement-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/YxYxY_improvement-vs-steps.png b/dokumentation/evolution3d/YxYxY_improvement-vs-steps.png index 45c8885..20755e1 100644 Binary files a/dokumentation/evolution3d/YxYxY_improvement-vs-steps.png and b/dokumentation/evolution3d/YxYxY_improvement-vs-steps.png differ diff --git a/dokumentation/evolution3d/YxYxY_regularity-vs-steps.png b/dokumentation/evolution3d/YxYxY_regularity-vs-steps.png index 4885565..8a09cad 100644 Binary files a/dokumentation/evolution3d/YxYxY_regularity-vs-steps.png and b/dokumentation/evolution3d/YxYxY_regularity-vs-steps.png differ diff --git a/dokumentation/evolution3d/YxYxY_variability-vs-evo-error.png b/dokumentation/evolution3d/YxYxY_variability-vs-evo-error.png index 96e3047..8f2ea3a 100644 Binary files a/dokumentation/evolution3d/YxYxY_variability-vs-evo-error.png and b/dokumentation/evolution3d/YxYxY_variability-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/all.csv b/dokumentation/evolution3d/all.csv new file mode 100644 index 0000000..44df7b6 --- /dev/null +++ b/dokumentation/evolution3d/all.csv @@ -0,0 +1,911 @@ +regularity,variability,improvement,"Evolution error",steps +6.57581e-05,0.00592209,0.622392,113.016,2368 +5.16451e-05,0.00592209,0.610293,118.796,2433 +6.45083e-05,0.00592209,0.592139,127.157,1655 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data read from "all.csv" every ::1 using 1:5 + format = x:z + #datapoints = 910 + residuals are weighted equally (unit weight) + +function used for fitting: f(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 2.69952e+09 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.707107 + +initial set of free parameter values + +a = 1 +b = 1 + +After 6 iterations the fit converged. +final sum of squares of residuals : 5.77426e+08 +rel. change during last iteration : -1.48436e-07 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 797.454 +variance of residuals (reduced chisquare) = WSSR/ndf : 635932 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +a = -5.38736e+06 +/- 8.165e+05 (15.16%) +b = 1966.44 +/- 72.92 (3.708%) + + +correlation matrix of the fit parameters: + + a b +a 1.000 +b -0.932 1.000 + + +******************************************************************************* +Wed Oct 25 19:09:05 2017 + + +FIT: data read from "all.csv" every ::1 using 3:5 + format = x:z + #datapoints = 910 + residuals are weighted equally (unit weight) + +function used for fitting: g(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 2.6977e+09 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.857335 + +initial set of free parameter values + +aa = 1 +bb = 1 + +After 3 iterations the fit converged. +final sum of squares of residuals : 3.3878e+08 +rel. change during last iteration : -3.41053e-07 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 610.824 +variance of residuals (reduced chisquare) = WSSR/ndf : 373106 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aa = -8301.78 +/- 310.7 (3.743%) +bb = 7184 +/- 213 (2.965%) + + +correlation matrix of the fit parameters: + + aa bb +aa 1.000 +bb -0.995 1.000 + + +******************************************************************************* +Wed Oct 25 19:09:05 2017 + + +FIT: data read from "all.csv" every ::1 using 3:4 + format = x:z + #datapoints = 910 + residuals are weighted equally (unit weight) + +function used for fitting: h(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 8.64029e+06 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.857335 + +initial set of free parameter values + +aaa = 1 +bbb = 1 + +After 3 iterations the fit converged. +final sum of squares of residuals : 44319.2 +rel. change during last iteration : -3.6749e-06 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 6.98639 +variance of residuals (reduced chisquare) = WSSR/ndf : 48.8097 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaa = -292.832 +/- 3.554 (1.214%) +bbb = 296.825 +/- 2.437 (0.8209%) + + +correlation matrix of the fit parameters: + + aaa bbb +aaa 1.000 +bbb -0.995 1.000 + + +******************************************************************************* +Wed Oct 25 19:09:05 2017 + + +FIT: data read from "all.csv" every ::1 using 2:4 + format = x:z + #datapoints = 910 + residuals are weighted equally (unit weight) + +function used for fitting: i(x) +fitted parameters initialized with current variable values + + + + Iteration 0 + WSSR : 8.75529e+06 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.707146 + +initial set of free parameter values + +aaaa = 1 +bbbb = 1 + +After 4 iterations the fit converged. +final sum of squares of residuals : 84605.2 +rel. change during last iteration : -1.31864e-06 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 9.65285 +variance of residuals (reduced chisquare) = WSSR/ndf : 93.1775 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaaa = -4091.03 +/- 73.19 (1.789%) +bbbb = 136.014 +/- 0.7684 (0.5649%) + + +correlation matrix of the fit parameters: + + aaaa bbbb +aaaa 1.000 +bbbb -0.909 1.000 diff --git a/dokumentation/evolution3d/all.gnuplot.log b/dokumentation/evolution3d/all.gnuplot.log new file mode 100644 index 0000000..651dd02 --- /dev/null +++ b/dokumentation/evolution3d/all.gnuplot.log @@ -0,0 +1,304 @@ + + + Iteration 0 + WSSR : 2.69952e+09 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.707107 + +initial set of free parameter values + +a = 1 +b = 1 +/ + + Iteration 1 + WSSR : 6.0511e+08 delta(WSSR)/WSSR : -3.4612 + delta(WSSR) : -2.09441e+09 limit for stopping : 1e-05 + lambda : 0.0707107 + +resultant parameter values + +a = -9.15081 +b = 1517.25 +/ + + Iteration 2 + WSSR : 6.05099e+08 delta(WSSR)/WSSR : -1.84933e-05 + delta(WSSR) : -11190.3 limit for stopping : 1e-05 + lambda : 0.00707107 + +resultant parameter values + +a = -1036.65 +b = 1518.17 +/ + + Iteration 3 + WSSR : 6.04072e+08 delta(WSSR)/WSSR : -0.00169898 + delta(WSSR) : -1.02631e+06 limit for stopping : 1e-05 + lambda : 0.000707107 + +resultant parameter values + +a = -101864 +b = 1526.56 +/ + + Iteration 4 + WSSR : 5.80578e+08 delta(WSSR)/WSSR : -0.040467 + delta(WSSR) : -2.34943e+07 limit for stopping : 1e-05 + lambda : 7.07107e-05 + +resultant parameter values + +a = -3.56955e+06 +b = 1815.15 +/ + + Iteration 5 + WSSR : 5.77427e+08 delta(WSSR)/WSSR : -0.00545821 + delta(WSSR) : -3.15172e+06 limit for stopping : 1e-05 + lambda : 7.07107e-06 + +resultant parameter values + +a = -5.37788e+06 +b = 1965.65 +/ + + Iteration 6 + WSSR : 5.77426e+08 delta(WSSR)/WSSR : -1.48436e-07 + delta(WSSR) : -85.7109 limit for stopping : 1e-05 + lambda : 7.07107e-07 + +resultant parameter values + +a = -5.38736e+06 +b = 1966.44 + +After 6 iterations the fit converged. +final sum of squares of residuals : 5.77426e+08 +rel. change during last iteration : -1.48436e-07 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 797.454 +variance of residuals (reduced chisquare) = WSSR/ndf : 635932 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +a = -5.38736e+06 +/- 8.165e+05 (15.16%) +b = 1966.44 +/- 72.92 (3.708%) + + +correlation matrix of the fit parameters: + + a b +a 1.000 +b -0.932 1.000 + + + Iteration 0 + WSSR : 2.6977e+09 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.857335 + +initial set of free parameter values + +aa = 1 +bb = 1 +/ + + Iteration 1 + WSSR : 3.537e+08 delta(WSSR)/WSSR : -6.62708 + delta(WSSR) : -2.344e+09 limit for stopping : 1e-05 + lambda : 0.0857335 + +resultant parameter values + +aa = -6338.16 +bb = 5839.13 +/ + + Iteration 2 + WSSR : 3.3878e+08 delta(WSSR)/WSSR : -0.0440412 + delta(WSSR) : -1.49203e+07 limit for stopping : 1e-05 + lambda : 0.00857335 + +resultant parameter values + +aa = -8296.31 +bb = 7180.26 +/ + + Iteration 3 + WSSR : 3.3878e+08 delta(WSSR)/WSSR : -3.41053e-07 + delta(WSSR) : -115.542 limit for stopping : 1e-05 + lambda : 0.000857335 + +resultant parameter values + +aa = -8301.78 +bb = 7184 + +After 3 iterations the fit converged. +final sum of squares of residuals : 3.3878e+08 +rel. change during last iteration : -3.41053e-07 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 610.824 +variance of residuals (reduced chisquare) = WSSR/ndf : 373106 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aa = -8301.78 +/- 310.7 (3.743%) +bb = 7184 +/- 213 (2.965%) + + +correlation matrix of the fit parameters: + + aa bb +aa 1.000 +bb -0.995 1.000 + + + Iteration 0 + WSSR : 8.64029e+06 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.857335 + +initial set of free parameter values + +aaa = 1 +bbb = 1 +/ + + Iteration 1 + WSSR : 65352.7 delta(WSSR)/WSSR : -131.21 + delta(WSSR) : -8.57494e+06 limit for stopping : 1e-05 + lambda : 0.0857335 + +resultant parameter values + +aaa = -219.119 +bbb = 246.318 +/ + + Iteration 2 + WSSR : 44319.4 delta(WSSR)/WSSR : -0.474585 + delta(WSSR) : -21033.3 limit for stopping : 1e-05 + lambda : 0.00857335 + +resultant parameter values + +aaa = -292.627 +bbb = 296.685 +/ + + Iteration 3 + WSSR : 44319.2 delta(WSSR)/WSSR : -3.6749e-06 + delta(WSSR) : -0.162868 limit for stopping : 1e-05 + lambda : 0.000857335 + +resultant parameter values + +aaa = -292.832 +bbb = 296.825 + +After 3 iterations the fit converged. +final sum of squares of residuals : 44319.2 +rel. change during last iteration : -3.6749e-06 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 6.98639 +variance of residuals (reduced chisquare) = WSSR/ndf : 48.8097 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaa = -292.832 +/- 3.554 (1.214%) +bbb = 296.825 +/- 2.437 (0.8209%) + + +correlation matrix of the fit parameters: + + aaa bbb +aaa 1.000 +bbb -0.995 1.000 + + + Iteration 0 + WSSR : 8.75529e+06 delta(WSSR)/WSSR : 0 + delta(WSSR) : 0 limit for stopping : 1e-05 + lambda : 0.707146 + +initial set of free parameter values + +aaaa = 1 +bbbb = 1 +/ + + Iteration 1 + WSSR : 356710 delta(WSSR)/WSSR : -23.5445 + delta(WSSR) : -8.39858e+06 limit for stopping : 1e-05 + lambda : 0.0707146 + +resultant parameter values + +aaaa = -135.643 +bbbb = 98.21 +/ + + Iteration 2 + WSSR : 98176.3 delta(WSSR)/WSSR : -2.63337 + delta(WSSR) : -258534 limit for stopping : 1e-05 + lambda : 0.00707146 + +resultant parameter values + +aaaa = -3207.68 +bbbb = 127.583 +/ + + Iteration 3 + WSSR : 84605.3 delta(WSSR)/WSSR : -0.160403 + delta(WSSR) : -13570.9 limit for stopping : 1e-05 + lambda : 0.000707146 + +resultant parameter values + +aaaa = -4088.49 +bbbb = 135.99 +/ + + Iteration 4 + WSSR : 84605.2 delta(WSSR)/WSSR : -1.31864e-06 + delta(WSSR) : -0.111564 limit for stopping : 1e-05 + lambda : 7.07146e-05 + +resultant parameter values + +aaaa = -4091.03 +bbbb = 136.014 + +After 4 iterations the fit converged. +final sum of squares of residuals : 84605.2 +rel. change during last iteration : -1.31864e-06 + +degrees of freedom (FIT_NDF) : 908 +rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 9.65285 +variance of residuals (reduced chisquare) = WSSR/ndf : 93.1775 + +Final set of parameters Asymptotic Standard Error +======================= ========================== + +aaaa = -4091.03 +/- 73.19 (1.789%) +bbbb = 136.014 +/- 0.7684 (0.5649%) + + +correlation matrix of the fit parameters: + + aaaa bbbb +aaaa 1.000 +bbbb -0.909 1.000 diff --git a/dokumentation/evolution3d/all.gnuplot.script b/dokumentation/evolution3d/all.gnuplot.script new file mode 100644 index 0000000..0175d8f --- /dev/null +++ b/dokumentation/evolution3d/all.gnuplot.script @@ -0,0 +1,26 @@ +set datafile separator "," +f(x)=a*x+b +fit f(x) "all.csv" every ::1 using 1:5 via a,b +set terminal png +set xlabel 'regularity' +set ylabel 'steps' +set output "all_regularity-vs-steps.png" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 1:5 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 1:5 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 1:5 title "7x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 1:5 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 1:5 title "4x4x7" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 1:5 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 1:5 title "6x6x6" pt 2, f(x) title "lin. fit" lc rgb "black" +g(x)=aa*x+bb +fit g(x) "all.csv" every ::1 using 3:5 via aa,bb +set xlabel 'improvement potential' +set ylabel 'steps' +set output "all_improvement-vs-steps.png" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:5 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 3:5 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 3:5 title "7x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 3:5 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 3:5 title "4x4x7" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 3:5 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 3:5 title "6x6x6" pt 2, g(x) title "lin. fit" lc rgb "black" +h(x)=aaa*x+bbb +fit h(x) "all.csv" every ::1 using 3:4 via aaa,bbb +set xlabel 'improvement potential' +set ylabel 'evolution error' +set output "all_improvement-vs-evo-error.png" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 3:4 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 3:4 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 3:4 title "7x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 3:4 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 3:4 title "4x4x7" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 3:4 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 3:4 title "6x6x6" pt 2, h(x) title "lin. fit" lc rgb "black" +i(x)=aaaa*x+bbbb +fit i(x) "all.csv" every ::1 using 2:4 via aaaa,bbbb +set xlabel 'variability' +set ylabel 'evolution error' +set output "all_variability-vs-evo-error.png" +plot "20170926_3dFit_4x4x4_100times.csv" every ::1 using 2:4 title "4x4x4" pt 2, "20171013_3dFit_5x4x4_100times.csv" every ::1 using 2:4 title "5x4x4" pt 2, "20171005_3dFit_7x4x4_100times.csv" every ::1 using 2:4 title "7x4x4" pt 2, "20171005_3dFit_4x4x5_100times.csv" every ::1 using 2:4 title "4x4x5" pt 2, "20171013_3dFit_4x4x7_100times.csv" every ::1 using 2:4 title "4x4x7" pt 2, "20170926_3dFit_5x5x5_100times.csv" every ::1 using 2:4 title "5x5x5" pt 2, "20171021-evolution3D_6x6_100Times.csv" every ::1 using 2:4 title "6x6x6" pt 2, i(x) title "lin. fit" lc rgb "black" diff --git a/dokumentation/evolution3d/all.mms b/dokumentation/evolution3d/all.mms new file mode 100644 index 0000000..864f65c --- /dev/null +++ b/dokumentation/evolution3d/all.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing all.csv" +[1] "Mean:" +[1] 96.96886 +[1] "Median:" +[1] 97.8825 +[1] "Sigma:" +[1] 20.3298 +[1] "Range:" +[1] 52.0186 130.8540 diff --git a/dokumentation/evolution3d/all.spearman b/dokumentation/evolution3d/all.spearman new file mode 100644 index 0000000..0c55cb2 --- /dev/null +++ b/dokumentation/evolution3d/all.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing all.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.95 +y -0.95 1.00 + +n= 910 + + +P + x y +x 0 +y 0 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 -0.69 +y -0.69 1.00 + +n= 910 + + +P + x y +x 0 +y 0 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.15 +y -0.15 1.00 + +n= 910 + + +P + x y +x 0 +y 0 +[1] "spearman for variability vs. evolution-error" + x y +x 1.00 -0.94 +y -0.94 1.00 + +n= 910 + + +P + x y +x 0 +y 0 diff --git a/dokumentation/evolution3d/all_improvement-vs-evo-error.png b/dokumentation/evolution3d/all_improvement-vs-evo-error.png new file mode 100644 index 0000000..af6155b Binary files /dev/null and b/dokumentation/evolution3d/all_improvement-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/all_improvement-vs-steps.png b/dokumentation/evolution3d/all_improvement-vs-steps.png new file mode 100644 index 0000000..0dbe11f Binary files /dev/null and b/dokumentation/evolution3d/all_improvement-vs-steps.png differ diff --git a/dokumentation/evolution3d/all_regularity-vs-steps.png b/dokumentation/evolution3d/all_regularity-vs-steps.png new file mode 100644 index 0000000..87c774d Binary files /dev/null and b/dokumentation/evolution3d/all_regularity-vs-steps.png differ diff --git a/dokumentation/evolution3d/all_variability-vs-evo-error.png b/dokumentation/evolution3d/all_variability-vs-evo-error.png new file mode 100644 index 0000000..c171412 Binary files /dev/null and b/dokumentation/evolution3d/all_variability-vs-evo-error.png differ diff --git a/dokumentation/evolution3d/combine.sh b/dokumentation/evolution3d/combine.sh index e554650..ee08351 100755 --- a/dokumentation/evolution3d/combine.sh +++ b/dokumentation/evolution3d/combine.sh @@ -14,9 +14,9 @@ set xlabel 'regularity' set ylabel 'steps' set output "${png}_regularity-vs-steps.png" plot \ - "$2" every ::1 using 1:5 title "$3", \ - "$4" every ::1 using 1:5 title "$5", \ - "$6" every ::1 using 1:5 title "$7", \ + "$2" every ::1 using 1:5 title "$3" pt 2, \ + "$4" every ::1 using 1:5 title "$5" pt 2, \ + "$6" every ::1 using 1:5 title "$7" pt 2, \ f(x) title "lin. fit" lc rgb "black" g(x)=aa*x+bb fit g(x) "$data" every ::1 using 3:5 via aa,bb @@ -24,9 +24,9 @@ set xlabel 'improvement potential' set ylabel 'steps' set output "${png}_improvement-vs-steps.png" plot \ - "$2" every ::1 using 3:5 title "$3", \ - "$4" every ::1 using 3:5 title "$5", \ - "$6" every ::1 using 3:5 title "$7", \ + "$2" every ::1 using 3:5 title "$3" pt 2, \ + "$4" every ::1 using 3:5 title "$5" pt 2, \ + "$6" every ::1 using 3:5 title "$7" pt 2, \ g(x) title "lin. fit" lc rgb "black" h(x)=aaa*x+bbb fit h(x) "$data" every ::1 using 3:4 via aaa,bbb @@ -34,9 +34,9 @@ set xlabel 'improvement potential' set ylabel 'evolution error' set output "${png}_improvement-vs-evo-error.png" plot \ - "$2" every ::1 using 3:4 title "$3", \ - "$4" every ::1 using 3:4 title "$5", \ - "$6" every ::1 using 3:4 title "$7", \ + "$2" every ::1 using 3:4 title "$3" pt 2, \ + "$4" every ::1 using 3:4 title "$5" pt 2, \ + "$6" every ::1 using 3:4 title "$7" pt 2, \ h(x) title "lin. fit" lc rgb "black" i(x)=aaaa*x+bbbb fit i(x) "$data" every ::1 using 2:4 via aaaa,bbbb @@ -44,9 +44,9 @@ set xlabel 'variability' set ylabel 'evolution error' set output "${png}_variability-vs-evo-error.png" plot \ - "$2" every ::1 using 2:4 title "$3", \ - "$4" every ::1 using 2:4 title "$5", \ - "$6" every ::1 using 2:4 title "$7", \ + "$2" every ::1 using 2:4 title "$3" pt 2, \ + "$4" every ::1 using 2:4 title "$5" pt 2, \ + "$6" every ::1 using 2:4 title "$7" pt 2, \ i(x) title "lin. fit" lc rgb "black" EOD ) > "${png}.gnuplot.script" diff --git a/dokumentation/evolution3d/combine7.sh b/dokumentation/evolution3d/combine7.sh new file mode 100755 index 0000000..5d76548 --- /dev/null +++ b/dokumentation/evolution3d/combine7.sh @@ -0,0 +1,71 @@ +#!/bin/bash + +if [[ $# -eq 0 ]]; then + echo "usage: $0 " +else + data="$1"; + png="`echo $1 | sed -s "s/\.csv$//"`" # strip ending + (cat < "${png}.gnuplot.script" + gnuplot "${png}.gnuplot.script" 2> "${png}.gnuplot.log" + mv fit.log "${png}.gnuplot.fit.log" +fi diff --git a/dokumentation/evolution3d/errors.csv b/dokumentation/evolution3d/errors.csv new file mode 100644 index 0000000..ec47a0a --- /dev/null +++ b/dokumentation/evolution3d/errors.csv @@ -0,0 +1,111 @@ +"4x4x4","4x4x5","5x4x4","4x4x7","7x4x4","5x5x5","6x6x6" +113.016,104.911,91.4882,85.1149,105.032,73.9627,56.9424 +118.796,102.122,95.001,82.2095,91.0336,79.3303,65.8672 +127.157,100.463,97.72,93.8283,74.0894,72.8373,61.6979 +121.613,111.329,99.0429,99.4121,77.0829,60.0032,64.1851 +119.539,104.712,102.273,84.7928,84.9413,80.1321,55.1204 +119.512,100.048,98.0028,89.4784,103.909,66.1526,63.4494 +118.285,102.05,101.929,98.0445,88.0771,74.6032,56.8508 +126.579,98.3549,103.969,82.4413,93.4708,71.3161,68.7883 +122.512,93.4038,92.5069,95.9898,83.1573,71.9377,63.1337 +118.473,104.028,118.88,82.9514,80.9548,70.127,71.6163 +121.998,102.965,96.2138,95.6417,78.1902,61.7195,71.1037 +115.313,102.822,100.164,97.597,84.7296,86.6101,55.0916 +118.034,97.9662,95.9282,92.8455,94.4156,77.235,63.109 +120.003,100.341,96.3737,87.554,84.0696,70.3058,56.7978 +123.494,109.73,107.927,88.0962,83.4435,73.3268,64.0039 +122.989,99.6362,98.0377,92.764,88.5741,72.8603,63.2723 +123.757,113.29,94.9011,92.6177,77.5017,70.5867,57.7703 +110.67,112.572,102.223,91.9667,82.8934,79.8851,61.9955 +121.232,86.3175,126.177,82.2732,89.5173,89.169,55.9687 +120.979,91.637,101.879,94.741,92.6297,86.3505,78.0966 +115.394,107.27,90.0009,87.4631,88.5844,77.8282,65.5659 +116.928,110.797,101.026,99.0457,82.1173,70.418,65.5294 +125.294,99.0484,94.5618,83.0585,73.2,82.3889,52.8169 +111.635,94.2222,99.2481,87.7612,84.76,80.3257,59.6491 +114.681,104.417,94.1741,92.4952,73.4001,85.6612,54.1868 +111.935,96.4144,102.894,87.4672,92.3227,76.2377,64.4377 +111.392,108.23,103.993,85.5196,84.2123,76.8062,64.634 +115.346,98.5045,96.549,96.1244,84.2583,75.0253,61.125 +119.055,93.4554,90.1281,80.3879,78.5571,73.6296,59.6531 +117.452,110.564,104.444,88.557,89.2675,71.8145,61.0567 +123.379,104.082,104.542,80.9192,81.8836,82.1172,66.6297 +115.053,95.1024,107.051,88.0159,83.885,68.4228,70.4683 +123.994,100.132,102.128,92.5849,91.469,74.5628,63.4839 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+,,,,,,64.1642 +,,,,,,59.2356 +,,,,,,55.0987 +,,,,,,64.6963 diff --git a/dokumentation/evolution3d/errors.mms b/dokumentation/evolution3d/errors.mms new file mode 100644 index 0000000..ae4e2d0 --- /dev/null +++ b/dokumentation/evolution3d/errors.mms @@ -0,0 +1,9 @@ +[1] "================ Analyzing errors.csv" +[1] "Mean:" +[1] NA +[1] "Median:" +[1] NA +[1] "Sigma:" +[1] NA +[1] "Range:" +[1] NA NA diff --git a/dokumentation/evolution3d/errors.spearman b/dokumentation/evolution3d/errors.spearman new file mode 100644 index 0000000..fe9441f --- /dev/null +++ b/dokumentation/evolution3d/errors.spearman @@ -0,0 +1,49 @@ +[1] "================ Analyzing errors.csv" +[1] "spearman for improvement-potential vs. evolution-error" + x y +x 1.00 -0.09 +y -0.09 1.00 + +n= 100 + + +P + x y +x 0.3979 +y 0.3979 +[1] "spearman for improvement-potential vs. steps" + x y +x 1.00 0.11 +y 0.11 1.00 + +n= 100 + + +P + x y +x 0.258 +y 0.258 +[1] "spearman for regularity vs. steps" + x y +x 1.00 -0.09 +y -0.09 1.00 + +n= 100 + + +P + x y +x 0.3491 +y 0.3491 +[1] "spearman for variability vs. evolution-error" + x y +x 1.00 -0.01 +y -0.01 1.00 + +n= 100 + + +P + x y +x 0.9057 +y 0.9057 diff --git a/dokumentation/evolution3d/images.sh b/dokumentation/evolution3d/images.sh index 359de55..1b91ba7 100755 --- a/dokumentation/evolution3d/images.sh +++ b/dokumentation/evolution3d/images.sh @@ -26,6 +26,14 @@ set xlabel 'improvement potential' set ylabel 'evolution error' set output "${png}_improvement-vs-evo-error.png" plot "$data" every ::1 using 3:4 title "data", h(x) title "lin. fit" lc rgb "black" +i(x)=aaaa*x+bbbb +fit i(x) "$data" every ::1 using 2:4 via aaaa,bbbb +set xlabel 'variability' +set ylabel 'evolution error' +set output "${png}_variability-vs-evo-error.png" +plot \ + "$data" every ::1 using 2:4 title "data", \ + i(x) title "lin. fit" lc rgb "black" EOD ) > "${png}.gnuplot.script" gnuplot "${png}.gnuplot.script" 2> "${png}.gnuplot.log" diff --git a/dokumentation/evolution3d/improvement_montage.png b/dokumentation/evolution3d/improvement_montage.png new file mode 100644 index 0000000..787f48f Binary files /dev/null and b/dokumentation/evolution3d/improvement_montage.png differ diff --git a/dokumentation/evolution3d/post_tmp.sh b/dokumentation/evolution3d/post_tmp.sh new file mode 100755 index 0000000..c9ad03a --- /dev/null +++ b/dokumentation/evolution3d/post_tmp.sh @@ -0,0 +1,17 @@ +#!/bin/bash +echo "regularity,variability,improvement" +cat "$1" | grep "EVOL" \ + | sed -s "s/info: EVOL: //" \ + | grep -v "info:" \ + | grep -v "Evolvability" \ + | grep -v "Converged after" \ + | sed -s "s/regularity: //" \ + | sed -s "s/variability: //" \ + | sed -s "s/improvement: //" \ + | sed -s "s/Best value: //" \ + | sed -s "s/TOTAL STEPS: //" \ + | while read -r ONE; do + read -r TWO + read -r THREE + echo "$ONE,$TWO,$THREE" + done diff --git a/dokumentation/evolution3d/regularity_montage.png b/dokumentation/evolution3d/regularity_montage.png new file mode 100644 index 0000000..7913f8a Binary files /dev/null and b/dokumentation/evolution3d/regularity_montage.png differ diff --git a/dokumentation/evolution3d/variability.gnuplot b/dokumentation/evolution3d/variability.gnuplot new file mode 100644 index 0000000..560c4f5 --- /dev/null +++ b/dokumentation/evolution3d/variability.gnuplot @@ -0,0 +1,21 @@ + +set datafile separator "," +set terminal png +set output 'variability_boxplot.png' + +set border 2 front lt rgb "black" linewidth 1.000 +set boxwidth 0.5 absolute +set style fill solid 0.50 border lt -1 +unset key +set pointsize 0.5 +set style data boxplot +set xtics border in scale 0,0 nomirror norotate autojustify +set xtics norangelimit +set xtics () +set ytics border in scale 1,0.5 nomirror norotate autojustify +set title "Fitting Errors of 3D Function Approximation for various grids\n" +set ylabel "Error according to fitness-function" + +header ="`head -1 errors.csv | sed -s "s/\"//g" | sed -s "s/,/ /g"`" +set for [i=1:words(header)] xtics (word(header,i) i) +plot for [i=1:words(header)] 'errors.csv' using (i):i title columnhead lc rgb "#6E6A9C" diff --git a/dokumentation/evolution3d/variability2.gnuplot b/dokumentation/evolution3d/variability2.gnuplot new file mode 100644 index 0000000..a1f8905 --- /dev/null +++ b/dokumentation/evolution3d/variability2.gnuplot @@ -0,0 +1,24 @@ + +set datafile separator "," +set terminal png +set output 'variability2_boxplot.png' + +n=10.0 #number of intervals +max=985 #0.091 #max value +min=975 #0.09 #min value +width=(max-min)/n #interval width +#function used to map a value to the intervals +hist(x,width)=floor(width*floor((x+0.5)/width)+width/2.0) +set xrange [min:max] +set yrange [0:] +#to put an empty boundary around the +#data inside an autoscaled graph. +#set offset graph 0.05,0.05,0.05,0.0 +set xtics min,(max-min)/5,max +set boxwidth width*0.9 +set style fill solid 0.5 #fillstyle +set tics out nomirror +set xlabel "Number of effective control-points" +set ylabel "Amount (out of 100)" + +plot '20171025-evolution3D_10x10x10_noFit_100Times.var' using (hist(10807*$1,width)):(1.0) smooth freq with boxes lc rgb "#6E6A9C" notitle diff --git a/dokumentation/evolution3d/variability2_boxplot.png b/dokumentation/evolution3d/variability2_boxplot.png new file mode 100644 index 0000000..06ef46f Binary files /dev/null and b/dokumentation/evolution3d/variability2_boxplot.png differ diff --git a/dokumentation/evolution3d/variability_boxplot.png b/dokumentation/evolution3d/variability_boxplot.png new file mode 100644 index 0000000..87b46db Binary files /dev/null and b/dokumentation/evolution3d/variability_boxplot.png differ