From 816360626d5cb2bd677450b86eb53540b3b7e419 Mon Sep 17 00:00:00 2001 From: Lazloo Date: Fri, 1 Jul 2016 09:59:01 +0200 Subject: [PATCH] 20160701 - Editing Cemments in "doANOVAandPrediction", "doCompositeDesignAnalysis", and "doFullFactorialAnalysis" - Enable "plotContour" for 3D Interpolation -> Editing "labelPlots_23D" and "plotInterpolation_23D" - Debug doConditionalSimulation_ResAlgInEq -> Now also measurment noise is considered Signed-off-by: Lazloo --- .../tutorialVisualizingData.html | 62 ++++++++++++++++-- .../tutorialVisualizingData.png | Bin 7163 -> 7163 bytes .../tutorialVisualizingData_01.png | Bin 24114 -> 24114 bytes .../tutorialVisualizingData_02.png | Bin 18133 -> 18133 bytes .../tutorialVisualizingData_03.png | Bin 18986 -> 18986 bytes .../tutorialVisualizingData_04.png | Bin 6668 -> 6668 bytes .../tutorialVisualizingData_05.png | Bin 7637 -> 7637 bytes .../tutorialVisualizingData_06.png | Bin 7190 -> 7190 bytes .../tutorialVisualizingData_07.png | Bin 24994 -> 25024 bytes .../tutorialVisualizingData_08.png | Bin 19528 -> 19671 bytes .../tutorialVisualizingData_09.png | Bin 23001 -> 22989 bytes .../tutorialVisualizingData_10.png | Bin 28244 -> 11541 bytes .../tutorialVisualizingData_11.png | Bin 48904 -> 11805 bytes .../tutorialVisualizingData_12.png | Bin 0 -> 12754 bytes .../tutorialVisualizingData_13.png | Bin 0 -> 28244 bytes .../tutorialVisualizingData_14.png | Bin 0 -> 48904 bytes ...VisualizingData_eq01603813172210380278.png | Bin 252 -> 252 bytes ...VisualizingData_eq06559173809755883972.png | Bin 4178 -> 4178 bytes .../ScriptsForDocu/tutorialVisualizingData.m | 28 ++++++++ .../@AnalyzeKriging/doANOVAandPrediction.m | 27 ++++++++ .../doCompositeDesignAnalysis.m | 30 ++++----- .../@AnalyzeKriging/doFullFactorialAnalysis.m | 38 +++++------ dependencies/@AnalyzeKriging/labelPlots_23D.m | 14 +++- .../@AnalyzeKriging/plotInterpolation_23D.m | 60 ++++++++++++----- .../calcCovarMatrixOfPredictions.m | 18 ++--- .../doConditionalSimulation_ResAlgInEq.m | 12 ++-- dependencies/@KrigingSuperClass/prediction.m | 11 ++++ 27 files changed, 223 insertions(+), 77 deletions(-) create mode 100644 Tutorial/ActualTutorial/VisualizingData/tutorialVisualizingData_12.png create mode 100644 Tutorial/ActualTutorial/VisualizingData/tutorialVisualizingData_13.png create mode 100644 Tutorial/ActualTutorial/VisualizingData/tutorialVisualizingData_14.png diff --git a/Tutorial/ActualTutorial/VisualizingData/tutorialVisualizingData.html b/Tutorial/ActualTutorial/VisualizingData/tutorialVisualizingData.html index fa8189c..f230c4f 100644 --- a/Tutorial/ActualTutorial/VisualizingData/tutorialVisualizingData.html +++ b/Tutorial/ActualTutorial/VisualizingData/tutorialVisualizingData.html @@ -6,7 +6,7 @@ tutorialVisualizingData

Contents

Tutorial: How to visualize data

close all
+  

Contents

Tutorial: How to visualize data

close all
 

Test Function

The test function as follows:

$$f_{\rm{Test}} = \frac{10x_{1}}{5 + x_{1}}\sin\left( x_{2} \right) +
x_{3}$$

That is, the output is related to the first input variable by a Michaelis Menten curve(steep increase for small values followed by a plateau). The second input variable leads to oscillation and the third input variable leads to an linear monotonically increase. The effect of the first and second input are coupled with each other.

For a better visualization, pair-wise combination of input variables are plotted against the output. Remaining input variable was hold constant at the value of 2.

visualizeTestFunction();
 

Initialization

Step 1: Create a new Kriging analysis object. For more details see documentation of tutorialCreatingObject

[KrigingObj]=tutorialCreatingObject(false);
 
@@ -100,21 +100,40 @@
     set(gca,'FontSize',10)
 end
 KrigingObj.setShowBounds(true)
-

Screening Plots

Screening plots show interpolation for all pair-wise combinations of input variables. The remaining input variables are set fix to a predefined reference point.

KrigingObj.setReferencePoint([2,2,2]); % Values for remaining input variables
+

Contour plots

Contour plots represent the top view of the 3D Interpolation. It projectes the 3D information to 2D and is often easier to interprete. Before a contour plot can be create the 3D information have to be calculated in the same fashion as for the 3D interpolation plots.

NOTE: Settings such as "ShowData" are global and are used also for several other visualization features

combinations = [1,2,3;1,3,2;2,3,1]; % Pair-wise combinations of input variables
+KrigingObj.setShowData(true) % Show provided data points
+
+% Set the inputs for "plotInterpolation_23D"
+dimension = 3;
+showExpectedImprovement = false;
+showContourplot = true;
+
+for iComb = 1:nInputVar
+    KrigingObj.calcInterpolation_3D(indexKrigingObj,...
+               combinations(iComb,1:2),combinations(iComb,3),2)
+    KrigingObj.plotInterpolation_23D(indexKrigingObj,dimension,...
+                                   showExpectedImprovement,showContourplot)
+    grid on
+
+    % Set format appropriate for documentation
+    set(gcf,'Position', [100, 100, 330, 330/4*3]);
+    set(gca,'FontSize',10)
+end
+

Screening Plots

Screening plots show interpolation for all pair-wise combinations of input variables. The remaining input variables are set fix to a predefined reference point.

KrigingObj.setReferencePoint([2,2,2]); % Values for remaining input variables
 KrigingObj.calcScreeningAnalysis(indexKrigingObj)
 KrigingObj.plotScreeningAnalysisKrigingInterpolation(indexKrigingObj)
 
 % Set format appropriate for documentation
 set(gcf,'Position', [100, 100, 700, 700/4*3]);
 set(gca,'FontSize',10)
-

nD Interpolation plots

The idea of "n-D" is to use several contour plot showing the dependency of the output variable on two input variables while increasing a third one. This can be repeated for all combination of input variables leading to an overall understanding.

KrigingObj.setnPlots(5); % Number of columns in each row
+

nD Interpolation plots

The idea of "n-D" is to use several contour plot showing the dependency of the output variable on two input variables while increasing a third one. This can be repeated for all combination of input variables leading to an overall understanding.

KrigingObj.setnPlots(5); % Number of columns in each row
 KrigingObj.calcInterpolation_nD(indexKrigingObj,[1,2,3;1,3,2;2,3,1],[],[]) % no remaining input variables
 KrigingObj.plotInterpolation_nD(indexKrigingObj)
 
 % Set format appropriate for documentation
 set(gcf,'Position', [100, 100, 700, 700/4*3]);
 set(gca,'FontSize',10)
-

MakeMovie

The movie analysis allows a dynamic visualization of three factor interaction. In the end, an avi file is produced with a user defined frame rate. In total, n 3D-interpolation plots are generared for the movie. The camera position has to be adjusted at the beginning and is hold fixed for the remaining recording.

Under Windows, the resulting movie can be opened here

fileName = 'movieAnalysis';
+

MakeMovie

The movie analysis allows a dynamic visualization of three factor interaction. In the end, an avi file is produced with a user defined frame rate. In total, n 3D-interpolation plots are generared for the movie. The camera position has to be adjusted at the beginning and is hold fixed for the remaining recording.

Under Windows, the resulting movie can be opened here

fileName = 'movieAnalysis';
 KrigingObj.setFrameRate(2)
 KrigingObj.setnStepsBetweenBounds(10)
 KrigingObj.setReferencePoint([2,2,2]); % Values for remaining input variables
@@ -132,7 +151,7 @@
 Step 8 of 10
 Step 9 of 10
 Step 10 of 10
-
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1a0385a18e03194252af3d52aaea00b3c52f5998..fa9758fc9aff13a84cfa3c6b4913f00fd080ca31 100644 GIT binary patch delta 19 bcmeyv_=jasM{x$C diff --git a/Tutorial/ScriptsForDocu/tutorialVisualizingData.m b/Tutorial/ScriptsForDocu/tutorialVisualizingData.m index e0fb41d..3d80aee 100644 --- a/Tutorial/ScriptsForDocu/tutorialVisualizingData.m +++ b/Tutorial/ScriptsForDocu/tutorialVisualizingData.m @@ -79,6 +79,34 @@ end KrigingObj.setShowBounds(true) +%% Contour plots +% Contour plots represent the top view of the 3D Interpolation. It +% projectes the 3D information to 2D and is often easier to interprete. +% Before a contour plot can be create the 3D information have to be +% calculated in the same fashion as for the 3D interpolation plots. +%%% +% NOTE: Settings such as "ShowData" are global and are used also +% for several other visualization features +combinations = [1,2,3;1,3,2;2,3,1]; % Pair-wise combinations of input variables +KrigingObj.setShowData(true) % Show provided data points + +% Set the inputs for "plotInterpolation_23D" +dimension = 3; +showExpectedImprovement = false; +showContourplot = true; + +for iComb = 1:nInputVar + KrigingObj.calcInterpolation_3D(indexKrigingObj,... + combinations(iComb,1:2),combinations(iComb,3),2) + KrigingObj.plotInterpolation_23D(indexKrigingObj,dimension,... + showExpectedImprovement,showContourplot) + grid on + + % Set format appropriate for documentation + set(gcf,'Position', [100, 100, 330, 330/4*3]); + set(gca,'FontSize',10) +end + %% Screening Plots % Screening plots show interpolation for all pair-wise combinations of diff --git a/dependencies/@AnalyzeKriging/doANOVAandPrediction.m b/dependencies/@AnalyzeKriging/doANOVAandPrediction.m index 7ac59b1..1cc91aa 100644 --- a/dependencies/@AnalyzeKriging/doANOVAandPrediction.m +++ b/dependencies/@AnalyzeKriging/doANOVAandPrediction.m @@ -1,4 +1,31 @@ function [] = doANOVAandPrediction(obj,KrigingObjectIndex,X,inputMatrix,df) +% [] = doANOVAandPrediction(KrigingObjectIndex,ExpDesign,inputMatrix,df) +% Input: +% - KrigingObjectIndex ... index of Kriging object of interest +% - ExpDesign .. normalized experimental design [nPoints X nDesignVariables] +% - inputMatrix ... actual input values [nPoints X nInputVar] +% - df .. degree of freedom (nPoints - nDesignVariables) +% +% Design vairables represent a combination of input variables such as +% [x1],[x1*x2],[x2*x2] ... +% +% Output: - +% +% You can set: +% +% You can get: +% ANOVACoefficients ... contains the polynomial coefficient calculated during the +% ANOVA-Analysis +% ANOVACovMatrix ... Contain the covariance of the polynomial coefficient calculated +% during the ANOVA-Analysis +% ANOVAStdOfCoefficients ... contains the standard deviation of the polynomial coefficient +% calculated during the ANOVA-Analysis +% ANOVATvalue ... contain the t-value for t-test in order to decide which of the +% polynomial coefficient differ significantly from zero +% ANOVAPvalue ... Contain the p-value for t-test in order to decide which of the +% polynomial coefficient differ significantly from zero. Ususally +% values lower than 0.05 represent significant coefficients +% % This Function does the main work of the ANOVA % Copyright 2014-2016: Lars Freier, Eric von Lieres % See the license note at the end of the file. diff --git a/dependencies/@AnalyzeKriging/doCompositeDesignAnalysis.m b/dependencies/@AnalyzeKriging/doCompositeDesignAnalysis.m index cd25970..3ad8e98 100644 --- a/dependencies/@AnalyzeKriging/doCompositeDesignAnalysis.m +++ b/dependencies/@AnalyzeKriging/doCompositeDesignAnalysis.m @@ -2,26 +2,22 @@ % [] = doCompositeDesignAnalysis(obj,KrigingObjectIndex) % This function create a central composite design inside of the Kriging % interpolation and applies afterwards an ANOVA. -% KrigingObjectIndex ... Index of the Kriging object on which the ANOVA -% should be applied. -% You can get: -% ANOVACoefficients ... contains the polynomial coefficient calculated during the -% ANOVA-Analysis -% ANOVACovMatrix ... Contain the covariance of the polynomial coefficient calculated -% during the ANOVA-Analysis -% ANOVAStdOfCoefficients ... contains the standard deviation of the polynomial coefficient -% calculated during the ANOVA-Analysis -% ANOVATvalue ... contain the t-value for t-test in order to decide which of the -% polynomial coefficient differ significantly from zero -% ANOVAPvalue ... Contain the p-value for t-test in order to decide which of the -% polynomial coefficient differ significantly from zero. Ususally -% values lower than 0.05 represent significant coefficients +% +% Input: +% - KrigingObjectIndex ... index of Kriging object of interest +% +% Output: - +% % You can set: % ShowDetails ... a table is display which contains the variable in the of -% "You can get" -% Be aware that all get variable are overwritten everytime you run an -% ANOVA! +% - LB/UBInputVarInterpolation ... determines the range of input variable +% for the DoE Analysis +% +% You can get: - % +% For more information about sets and get see documentation of +% "doANOVAandPrediction". +% % Copyright 2014-2016: Lars Freier, Eric von Lieres % See the license note at the end of the file. diff --git a/dependencies/@AnalyzeKriging/doFullFactorialAnalysis.m b/dependencies/@AnalyzeKriging/doFullFactorialAnalysis.m index 2810c7c..c54990e 100644 --- a/dependencies/@AnalyzeKriging/doFullFactorialAnalysis.m +++ b/dependencies/@AnalyzeKriging/doFullFactorialAnalysis.m @@ -2,33 +2,31 @@ % [] = doFullFactorialAnalysis(obj,KrigingObjectIndex) % This function create a full factorial + center point design inside of the Kriging % interpolation and applies afterwards an ANOVA. -% KrigingObjectIndex ... Index of the Kriging object on which the ANOVA -% should be applied. -% You can get: -% ANOVACoefficients ... contains the polynomial coefficient calculated during the -% ANOVA-Analysis -% ANOVACovMatrix ... Contain the covariance of the polynomial coefficient calculated -% during the ANOVA-Analysis -% ANOVAStdOfCoefficients ... contains the standard deviation of the polynomial coefficient -% calculated during the ANOVA-Analysis -% ANOVATvalue ... contain the t-value for t-test in order to decide which of the -% polynomial coefficient differ significantly from zero -% ANOVAPvalue ... Contain the p-value for t-test in order to decide which of the -% polynomial coefficient differ significantly from zero. Ususally -% values lower than 0.05 represent significant coefficients +% +% Input: +% - KrigingObjectIndex ... index of Kriging object of interest +% +% Output: - +% % You can set: -% ShowDetails ... a table is display which contains the variable in the of -% "You can get" -% Be aware that all get variable are overwritten ecerytime you run an -% ANOVA! +% - ShowDetails ... a table is display which contains the variable in the of +% - LB/UBInputVarInterpolation ... determines the range of input variable +% for the DoE Analysis +% +% You can get: - +% +% For more information about sets and get see documentation of +% "doANOVAandPrediction". +% +% Copyright 2014-2016: Lars Freier, Eric von Lieres +% See the license note at the end of the file. %% Initialization nInputVar = obj.KrigingObjects{KrigingObjectIndex}.getnInputVar; inputData = obj.KrigingObjects{KrigingObjectIndex}.getInputData; nData = 2^nInputVar; normInputMatrix = zeros(nData,nInputVar); inputMatrix = zeros(nData,nInputVar); -% Copyright 2014-2016: Lars Freier, Eric von Lieres -% See the license note at the end of the file. + %% Experimental design diff --git a/dependencies/@AnalyzeKriging/labelPlots_23D.m b/dependencies/@AnalyzeKriging/labelPlots_23D.m index fbeb60a..73d493c 100644 --- a/dependencies/@AnalyzeKriging/labelPlots_23D.m +++ b/dependencies/@AnalyzeKriging/labelPlots_23D.m @@ -11,6 +11,7 @@ function labelPlots_23D(obj,varargin) KrigingObjectIndex = varargin{1}; dimensionInterpolation = varargin{2}; plotExpectedImprovement = varargin{3}; +plotContour = varargin{4}; %% Actual Labeling switch dimensionInterpolation @@ -35,11 +36,20 @@ function labelPlots_23D(obj,varargin) xlabel(obj.InputVarNames{KrigingObjectIndex(1)}(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,3}(1)),'FontSize',obj.FontSize); ylabel(obj.InputVarNames{KrigingObjectIndex(1)}(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,3}(2)),'FontSize',obj.FontSize); end + if plotExpectedImprovement - zlabel('Expected Improvement','FontSize',obj.FontSize); + zString = 'Expected Improvement'; + else + zString = obj.KrigingObjectNames{KrigingObjectIndex}; + end + if plotContour + hColorBar = colorbar; + ylabel(hColorBar,zString,'FontSize',obj.FontSize); else - zlabel(obj.KrigingObjectNames{KrigingObjectIndex},'FontSize',obj.FontSize); + zlabel(zString,'FontSize',obj.FontSize); end + + otherwise error('Plotting function is only allowed for 2D and 3D interpolation') end diff --git a/dependencies/@AnalyzeKriging/plotInterpolation_23D.m b/dependencies/@AnalyzeKriging/plotInterpolation_23D.m index c774aa5..729edb4 100644 --- a/dependencies/@AnalyzeKriging/plotInterpolation_23D.m +++ b/dependencies/@AnalyzeKriging/plotInterpolation_23D.m @@ -1,5 +1,5 @@ function [] = plotInterpolation_23D(obj,varargin) -% []=plotInterpolation_23D(KrigingObjectIndex,dimensionInterpolation,plotExpectedImprovement) +% []=plotInterpolation_23D(KrigingObjectIndex,dimensionInterpolation,plotExpectedImprovement,plotContour) % % Creates a 2D or 3D plot using the interpolation data and information % generated by "calcMutualInterpolation_23D()" @@ -17,6 +17,9 @@ % "calcExpectedImprovement()". % Note: plotExpectedImprovement cannot be % combined with mutual interpolation +% plotContour ... if true, contour plot is created instead of a mesh +% plot. In case of plotting the Kriging prediction, the +% confidence intervals are ignored % % % You can set: @@ -39,11 +42,16 @@ %% Initialization KrigingObjectIndex = varargin{1}; dimensionInterpolation = varargin{2}; -if length(varargin)>2 +if length(varargin)>2&&~isempty(varargin{3}) plotExpectedImprovement = varargin{3}; else plotExpectedImprovement = false; end +if length(varargin)>3&&~isempty(varargin{4}) + plotContour = varargin{4}; +else + plotContour = false; +end % In case of mutual Kriging interpolation, the prediction of all % objects is saved redundant, such that only the first index should @@ -75,17 +83,17 @@ [AccuracyTemp] = plotKrigingEstimation(dimensionInterpolation,expImprovement); % Plot lower and upper bound -if ~plotExpectedImprovement +if ~plotExpectedImprovement&&~plotContour plotConfidenceTube(dimensionInterpolation); end % Plot provided Data -if obj.ShowData==1 +if obj.ShowData==true plotDataAndMarkOutliers(dimensionInterpolation,KrigingObjectIndexArray); end % Finale Adjustments -obj.labelPlots_23D(KrigingObjectIndex,dimensionInterpolation,plotExpectedImprovement) +obj.labelPlots_23D(KrigingObjectIndex,dimensionInterpolation,plotExpectedImprovement,plotContour) alpha(obj.AlphaValue) % Set Colormap @@ -155,13 +163,19 @@ % Plot actual prediction if plotExpectedImprovement - mesh(unique(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,2}(:,inputIndices(1))),... - unique(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,2}(:,inputIndices(2))),... - reshape(expImprovement,AccuracyTemp,AccuracyTemp)') + output = expImprovement; + else + output = prediction; + end + + if plotContour + contourf(unique(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,2}(:,inputIndices(1))),... + unique(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,2}(:,inputIndices(2))),... + reshape(output,AccuracyTemp,AccuracyTemp)') else mesh(unique(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,2}(:,inputIndices(1))),... - unique(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,2}(:,inputIndices(2))),... - reshape(prediction,AccuracyTemp,AccuracyTemp)') + unique(obj.KrigingPrediction_Interpolation3D{KrigingObjectIndex,2}(:,inputIndices(2))),... + reshape(output,AccuracyTemp,AccuracyTemp)') end otherwise error('Plotting function is only allowed for 2D and 3D interpolation') @@ -220,15 +234,25 @@ evaluationValuesOutliers,... 'ko','MarkerFaceColor','k'); case 3 - plot3(Data(dataShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(1)),... - Data(dataShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(2)),... - evaluationValuesData,... - 'ko','MarkerFaceColor',[255/255 102/255 0/255]); + inputData = [Data(dataShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(1)),... + Data(dataShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(2))]; + inputOutlier = [Data(OutlierShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(1)),... + Data(OutlierShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(2))]; + if plotContour + plot(inputData(:,1),inputData(:,2),... + 'ko','MarkerFaceColor',[255/255 102/255 0/255]); - plot3(Data(OutlierShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(1)),... - Data(OutlierShown,obj.KrigingPrediction_Interpolation3D{iKrigingObject,3}(2)),... - evaluationValuesOutliers,... - 'ko','MarkerFaceColor','k'); + plot(inputOutlier(:,1),inputOutlier(:,2),... + 'ko','MarkerFaceColor','k'); + else + plot3(inputData(:,1),inputData(:,2),... + evaluationValuesData,... + 'ko','MarkerFaceColor',[255/255 102/255 0/255]); + + plot3(inputOutlier(:,1),inputOutlier(:,2),... + evaluationValuesOutliers,... + 'ko','MarkerFaceColor','k'); + end otherwise error('Plotting function is only allowed for 2D and 3D interpolation') end diff --git a/dependencies/@KrigingSuperClass/calcCovarMatrixOfPredictions.m b/dependencies/@KrigingSuperClass/calcCovarMatrixOfPredictions.m index 11b1a00..3f0ceb4 100644 --- a/dependencies/@KrigingSuperClass/calcCovarMatrixOfPredictions.m +++ b/dependencies/@KrigingSuperClass/calcCovarMatrixOfPredictions.m @@ -5,6 +5,8 @@ % Copyright 2014-2016: Lars Freier, Eric von Lieres % See the license note at the end of the file. + + % Calculate all Combinations nDataPoints = size(inputData,1); @@ -19,15 +21,13 @@ nComb = [nComb1(:),nComb2(:)]; nOriginalDataPoints = obj.getnExperiments; CovMatrixofExperiments = obj.getCovariogramMatrix; -% Calculate Cov(x_i,x_i)=C(0) -% switch obj.CovariogramModelChoice -% case 1 -% covariance_zero = ones(nDataPoints,nDataPoints).*(obj.sigma); -% otherwise -% covariance_zero = ones(nDataPoints,nDataPoints).*(obj.sigmaError+obj.sigma); -% end -% covariance_zero = ones(nDataPoints,nDataPoints).*(obj.sigma); -covariance_zero = ones(nDataPoints,nDataPoints)*obj.CovarModel(zeros(1,size(obj.DistInput,2)),1); + +% Check if all weights and covariance values are saved +if size(obj.Weights,2)