added 1d with added scalar for inprecise prediction

dokumentation/evolution1d/20170830-evolution1D_5x5_100Times-added_one.csv

@@ -0,0 +1,101 @@
+"Least squares",regularity,variability,improvement,steps,"Evolution error",sigma
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+213.473,0.0190352,0.00111111,0.92871,275,224.14,0.0207037

dokumentation/evolution1d/20170830-evolution1D_5x5_100Times-added_one.gnuplot.fit.log

@@ -0,0 +1,138 @@
+
+
+*******************************************************************************
+Wed Aug 30 22:31:49 2017
+
+
+FIT:    data read from "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 2:5
+        format = x:z
+        #datapoints = 100
+        residuals are weighted equally (unit weight)
+
+function used for fitting: f(x)
+fitted parameters initialized with current variable values
+
+
+
+ Iteration 0
+ WSSR        : 4.39785e+06       delta(WSSR)/WSSR   : 0
+ delta(WSSR) : 0                 limit for stopping : 1e-05
+ lambda	  : 0.707229
+
+initial set of free parameter values
+
+a               = 1
+b               = 1
+
+After 5 iterations the fit converged.
+final sum of squares of residuals : 161115
+rel. change during last iteration : -6.16109e-09
+
+degrees of freedom    (FIT_NDF)                        : 98
+rms of residuals      (FIT_STDFIT) = sqrt(WSSR/ndf)    : 40.5466
+variance of residuals (reduced chisquare) = WSSR/ndf   : 1644.03
+
+Final set of parameters            Asymptotic Standard Error
+=======================            ==========================
+
+a               = -7929.84         +/- 2359         (29.75%)
+b               = 353.47           +/- 43.93        (12.43%)
+
+
+correlation matrix of the fit parameters:
+
+               a      b      
+a               1.000 
+b              -0.996  1.000 
+
+
+*******************************************************************************
+Wed Aug 30 22:31:49 2017
+
+
+FIT:    data read from "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 4:5
+        format = x:z
+        #datapoints = 100
+        residuals are weighted equally (unit weight)
+
+function used for fitting: g(x)
+fitted parameters initialized with current variable values
+
+
+
+ Iteration 0
+ WSSR        : 4.36045e+06       delta(WSSR)/WSSR   : 0
+ delta(WSSR) : 0                 limit for stopping : 1e-05
+ lambda	  : 0.965948
+
+initial set of free parameter values
+
+aa              = 1
+bb              = 1
+
+After 5 iterations the fit converged.
+final sum of squares of residuals : 168087
+rel. change during last iteration : -1.22569e-11
+
+degrees of freedom    (FIT_NDF)                        : 98
+rms of residuals      (FIT_STDFIT) = sqrt(WSSR/ndf)    : 41.4147
+variance of residuals (reduced chisquare) = WSSR/ndf   : 1715.18
+
+Final set of parameters            Asymptotic Standard Error
+=======================            ==========================
+
+aa              = 1688.86          +/- 649.2        (38.44%)
+bb              = -1365.3          +/- 604.2        (44.25%)
+
+
+correlation matrix of the fit parameters:
+
+               aa     bb     
+aa              1.000 
+bb             -1.000  1.000 
+
+
+*******************************************************************************
+Wed Aug 30 22:31:49 2017
+
+
+FIT:    data read from "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 4:6
+        format = x:z
+        #datapoints = 100
+        residuals are weighted equally (unit weight)
+
+function used for fitting: h(x)
+fitted parameters initialized with current variable values
+
+
+
+ Iteration 0
+ WSSR        : 4.7035e+06        delta(WSSR)/WSSR   : 0
+ delta(WSSR) : 0                 limit for stopping : 1e-05
+ lambda	  : 0.965948
+
+initial set of free parameter values
+
+aaa             = 1
+bbb             = 1
+
+After 5 iterations the fit converged.
+final sum of squares of residuals : 4.78713
+rel. change during last iteration : -1.79666e-06
+
+degrees of freedom    (FIT_NDF)                        : 98
+rms of residuals      (FIT_STDFIT) = sqrt(WSSR/ndf)    : 0.221016
+variance of residuals (reduced chisquare) = WSSR/ndf   : 0.0488483
+
+Final set of parameters            Asymptotic Standard Error
+=======================            ==========================
+
+aaa             = -3131.71         +/- 3.464        (0.1106%)
+bbb             = 3132.34          +/- 3.224        (0.1029%)
+
+
+correlation matrix of the fit parameters:
+
+               aaa    bbb    
+aaa             1.000 
+bbb            -1.000  1.000 

dokumentation/evolution1d/20170830-evolution1D_5x5_100Times-added_one.gnuplot.log

@@ -0,0 +1,261 @@
+
+
+ Iteration 0
+ WSSR        : 4.39785e+06       delta(WSSR)/WSSR   : 0
+ delta(WSSR) : 0                 limit for stopping : 1e-05
+ lambda	  : 0.707229
+
+initial set of free parameter values
+
+a               = 1
+b               = 1
+/
+
+ Iteration 1
+ WSSR        : 179801            delta(WSSR)/WSSR   : -23.4596
+ delta(WSSR) : -4.21805e+06      limit for stopping : 1e-05
+ lambda	  : 0.0707229
+
+resultant parameter values
+
+a               = 0.10554
+b               = 205.376
+/
+
+ Iteration 2
+ WSSR        : 177682            delta(WSSR)/WSSR   : -0.0119262
+ delta(WSSR) : -2119.07          limit for stopping : 1e-05
+ lambda	  : 0.00707229
+
+resultant parameter values
+
+a               = -442.088
+b               = 214.599
+/
+
+ Iteration 3
+ WSSR        : 161462            delta(WSSR)/WSSR   : -0.100457
+ delta(WSSR) : -16219.9          limit for stopping : 1e-05
+ lambda	  : 0.000707229
+
+resultant parameter values
+
+a               = -6845.57
+b               = 333.36
+/
+
+ Iteration 4
+ WSSR        : 161115            delta(WSSR)/WSSR   : -0.00215619
+ delta(WSSR) : -347.393          limit for stopping : 1e-05
+ lambda	  : 7.07229e-05
+
+resultant parameter values
+
+a               = -7928
+b               = 353.436
+/
+
+ Iteration 5
+ WSSR        : 161115            delta(WSSR)/WSSR   : -6.16109e-09
+ delta(WSSR) : -0.000992642      limit for stopping : 1e-05
+ lambda	  : 7.07229e-06
+
+resultant parameter values
+
+a               = -7929.84
+b               = 353.47
+
+After 5 iterations the fit converged.
+final sum of squares of residuals : 161115
+rel. change during last iteration : -6.16109e-09
+
+degrees of freedom    (FIT_NDF)                        : 98
+rms of residuals      (FIT_STDFIT) = sqrt(WSSR/ndf)    : 40.5466
+variance of residuals (reduced chisquare) = WSSR/ndf   : 1644.03
+
+Final set of parameters            Asymptotic Standard Error
+=======================            ==========================
+
+a               = -7929.84         +/- 2359         (29.75%)
+b               = 353.47           +/- 43.93        (12.43%)
+
+
+correlation matrix of the fit parameters:
+
+               a      b      
+a               1.000 
+b              -0.996  1.000 
+
+
+ Iteration 0
+ WSSR        : 4.36045e+06       delta(WSSR)/WSSR   : 0
+ delta(WSSR) : 0                 limit for stopping : 1e-05
+ lambda	  : 0.965948
+
+initial set of free parameter values
+
+aa              = 1
+bb              = 1
+/
+
+ Iteration 1
+ WSSR        : 178379            delta(WSSR)/WSSR   : -23.4448
+ delta(WSSR) : -4.18208e+06      limit for stopping : 1e-05
+ lambda	  : 0.0965948
+
+resultant parameter values
+
+aa              = 106.179
+bb              = 106.601
+/
+
+ Iteration 2
+ WSSR        : 174781            delta(WSSR)/WSSR   : -0.0205882
+ delta(WSSR) : -3598.42          limit for stopping : 1e-05
+ lambda	  : 0.00965948
+
+resultant parameter values
+
+aa              = 406.449
+bb              = -171.828
+/
+
+ Iteration 3
+ WSSR        : 168099            delta(WSSR)/WSSR   : -0.0397514
+ delta(WSSR) : -6682.16          limit for stopping : 1e-05
+ lambda	  : 0.000965948
+
+resultant parameter values
+
+aa              = 1636.25
+bb              = -1316.34
+/
+
+ Iteration 4
+ WSSR        : 168087            delta(WSSR)/WSSR   : -6.70231e-05
+ delta(WSSR) : -11.2657          limit for stopping : 1e-05
+ lambda	  : 9.65948e-05
+
+resultant parameter values
+
+aa              = 1688.84
+bb              = -1365.28
+/
+
+ Iteration 5
+ WSSR        : 168087            delta(WSSR)/WSSR   : -1.22569e-11
+ delta(WSSR) : -2.06023e-06      limit for stopping : 1e-05
+ lambda	  : 9.65948e-06
+
+resultant parameter values
+
+aa              = 1688.86
+bb              = -1365.3
+
+After 5 iterations the fit converged.
+final sum of squares of residuals : 168087
+rel. change during last iteration : -1.22569e-11
+
+degrees of freedom    (FIT_NDF)                        : 98
+rms of residuals      (FIT_STDFIT) = sqrt(WSSR/ndf)    : 41.4147
+variance of residuals (reduced chisquare) = WSSR/ndf   : 1715.18
+
+Final set of parameters            Asymptotic Standard Error
+=======================            ==========================
+
+aa              = 1688.86          +/- 649.2        (38.44%)
+bb              = -1365.3          +/- 604.2        (44.25%)
+
+
+correlation matrix of the fit parameters:
+
+               aa     bb     
+aa              1.000 
+bb             -1.000  1.000 
+
+
+ Iteration 0
+ WSSR        : 4.7035e+06        delta(WSSR)/WSSR   : 0
+ delta(WSSR) : 0                 limit for stopping : 1e-05
+ lambda	  : 0.965948
+
+initial set of free parameter values
+
+aaa             = 1
+bbb             = 1
+/
+
+ Iteration 1
+ WSSR        : 42656.2           delta(WSSR)/WSSR   : -109.265
+ delta(WSSR) : -4.66085e+06      limit for stopping : 1e-05
+ lambda	  : 0.0965948
+
+resultant parameter values
+
+aaa             = 100.574
+bbb             = 123.147
+/
+
+ Iteration 2
+ WSSR        : 27949.7           delta(WSSR)/WSSR   : -0.526177
+ delta(WSSR) : -14706.5          limit for stopping : 1e-05
+ lambda	  : 0.00965948
+
+resultant parameter values
+
+aaa             = -511.389
+bbb             = 693.743
+/
+
+ Iteration 3
+ WSSR        : 51.8214           delta(WSSR)/WSSR   : -538.347
+ delta(WSSR) : -27897.9          limit for stopping : 1e-05
+ lambda	  : 0.000965948
+
+resultant parameter values
+
+aaa             = -3024.2
+bbb             = 3032.29
+/
+
+ Iteration 4
+ WSSR        : 4.78714           delta(WSSR)/WSSR   : -9.82513
+ delta(WSSR) : -47.0343          limit for stopping : 1e-05
+ lambda	  : 9.65948e-05
+
+resultant parameter values
+
+aaa             = -3131.66
+bbb             = 3132.3
+/
+
+ Iteration 5
+ WSSR        : 4.78713           delta(WSSR)/WSSR   : -1.79666e-06
+ delta(WSSR) : -8.60083e-06      limit for stopping : 1e-05
+ lambda	  : 9.65948e-06
+
+resultant parameter values
+
+aaa             = -3131.71
+bbb             = 3132.34
+
+After 5 iterations the fit converged.
+final sum of squares of residuals : 4.78713
+rel. change during last iteration : -1.79666e-06
+
+degrees of freedom    (FIT_NDF)                        : 98
+rms of residuals      (FIT_STDFIT) = sqrt(WSSR/ndf)    : 0.221016
+variance of residuals (reduced chisquare) = WSSR/ndf   : 0.0488483
+
+Final set of parameters            Asymptotic Standard Error
+=======================            ==========================
+
+aaa             = -3131.71         +/- 3.464        (0.1106%)
+bbb             = 3132.34          +/- 3.224        (0.1029%)
+
+
+correlation matrix of the fit parameters:
+
+               aaa    bbb    
+aaa             1.000 
+bbb            -1.000  1.000 

dokumentation/evolution1d/20170830-evolution1D_5x5_100Times-added_one.gnuplot.script

@@ -0,0 +1,14 @@
+set datafile separator ","
+f(x)=a*x+b
+fit f(x) "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 2:5 via a,b
+set terminal png
+set output "20170830-evolution1D_5x5_100Times-added_one_regularity-vs-steps.png"
+plot "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 2:5 title "regularity vs. steps", f(x) lc rgb "black"
+g(x)=aa*x+bb
+fit g(x) "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 4:5 via aa,bb
+set output "20170830-evolution1D_5x5_100Times-added_one_improvement-vs-steps.png"
+plot "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 4:5 title "improvement potential vs. steps", g(x) lc rgb "black"
+h(x)=aaa*x+bbb
+fit h(x) "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 4:6 via aaa,bbb
+set output "20170830-evolution1D_5x5_100Times-added_one_improvement-vs-evo-error.png"
+plot "20170830-evolution1D_5x5_100Times-added_one.csv" every ::1 using 4:6 title "improvement potential vs. evolution error", h(x) lc rgb "black"