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188
...s/GeneticAlgorithms/continuous/unconstrained/ZDT1-adaptive-linearXover-LinearMutation.xml
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<?xml version="1.0" ?> | ||
<Simulation verbosity="debug" profile="jobs"> | ||
<TestInfo> | ||
<name>raven/tests/framework/Optimizers/GA.MultiObjZDT1</name> | ||
<author>Junyung Kim</author> | ||
<created>2023-02-21</created> | ||
<classesTested/> | ||
<description>ZDT1 test using NSGA-II. | ||
design variable $\vec{x} = [x1,x2,...x_n]; n here is equal to 3$ | ||
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||
$obj_1(x) = x_1$ | ||
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$g(x) = 1 + \frac{9}{n-1} \sum_{2}^{n} x_i = 1 + 4.5 * (x_2 + x_3)$ | ||
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$h(obj1,g(x)) = 1 - \sqrt{\frac{obj_1}{g(x)}} = 1 - \sqrt(\frac{x_1}{1 + 4.5 * (x_2 + x_3)})$ | ||
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$obj_2 = g(x) * h(obj_1,g(x))$ = [1 + 4.5 * (x_2 + x_3)] * \sqrt(x_1) * \sqrt(1 + 4.5 * (x_2 + x_3)) | ||
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The analytic solution of this problem is as follows: | ||
Pareto front: | ||
$\vec{x}$: | ||
$0 \leq x_1 \leq 1, x_2 = 0, x_3 = 0,$ | ||
$obj_1$: | ||
$0 \leq obj_1 \leq 1$ | ||
$obj_2$ | ||
$1 \geq obj_1 \geq 0$ | ||
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||
1.0 * | ||
* | ||
* | ||
* | ||
0.8 * | ||
* o | ||
* o | ||
* o | ||
0.6 * o | ||
* o | ||
obj_2 * o | ||
* o | ||
0.4 * o | ||
* o | ||
* o | ||
* o | ||
0.2 * o | ||
* o | ||
* o | ||
* o | ||
0 * o | ||
/....................................................................... | ||
0 0.2 0.4 0.6 0.8 1.0 | ||
obj_1 = x_1 | ||
</description> | ||
</TestInfo> | ||
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||
<RunInfo> | ||
<WorkingDir>ZDT1-adaptive-LinearXover-LinearMutation</WorkingDir> | ||
<Sequence>optimize,print</Sequence> | ||
<batchSize>1</batchSize> | ||
</RunInfo> | ||
|
||
<Steps> | ||
<MultiRun name="optimize" re-seeding="2286"> | ||
<Input class="DataObjects" type="PointSet">placeholder</Input> | ||
<Model class="Models" type="ExternalModel">ZDT</Model> | ||
<Optimizer class="Optimizers" type="GeneticAlgorithm">GAopt</Optimizer> | ||
<SolutionExport class="DataObjects" type="PointSet">opt_export</SolutionExport> | ||
<Output class="DataObjects" type="PointSet">optOut</Output> | ||
<Output class="OutStreams" type="Print">opt_export</Output> | ||
</MultiRun> | ||
<IOStep name="print"> | ||
<Input class="DataObjects" type="PointSet">opt_export</Input> | ||
<Input class="DataObjects" type="PointSet">optOut</Input> | ||
<Output class="OutStreams" type="Print">opt_export</Output> | ||
<Output class="OutStreams" type="Print">optOut</Output> | ||
<Output class="OutStreams" type="Plot">opt_path</Output> | ||
<Output class="OutStreams" type="Plot">population</Output> | ||
</IOStep> | ||
</Steps> | ||
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<Models> | ||
<ExternalModel ModuleToLoad="../../../../AnalyticModels/optimizing/ZDT_model.py" name="ZDT" subType=""> | ||
<variables>x1,x2,x3,obj1,obj2</variables> | ||
</ExternalModel> | ||
</Models> | ||
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||
<Distributions> | ||
<Uniform name='unifDist'> | ||
<lowerBound>0</lowerBound> | ||
<upperBound>1</upperBound> | ||
</Uniform> | ||
</Distributions> | ||
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||
<Optimizers> | ||
<GeneticAlgorithm name="GAopt"> | ||
<samplerInit> | ||
<limit>15</limit> | ||
<initialSeed>42</initialSeed> | ||
<writeSteps>every</writeSteps> | ||
<type>min,min</type> | ||
</samplerInit> | ||
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<GAparams> | ||
<populationSize>10</populationSize> | ||
<parentSelection>tournamentSelection</parentSelection> | ||
<reproduction> | ||
<crossover type="twoPointsCrossover"> | ||
<crossoverProb type="adaptive">linear</crossoverProb> | ||
</crossover> | ||
<mutation type="randomMutator"> | ||
<mutationProb type="adaptive">linear</mutationProb> | ||
</mutation> | ||
</reproduction> | ||
<fitness type="feasibleFirst"> | ||
</fitness> | ||
<survivorSelection>rankNcrowdingBased</survivorSelection> | ||
</GAparams> | ||
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<convergence> | ||
<AHDp>0.0</AHDp> | ||
</convergence> | ||
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<variable name="x1"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x2"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x3"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<objective>obj1, obj2 </objective> | ||
<TargetEvaluation class="DataObjects" type="PointSet">optOut</TargetEvaluation> | ||
<Sampler class="Samplers" type="MonteCarlo">MC_samp</Sampler> | ||
</GeneticAlgorithm> | ||
</Optimizers> | ||
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||
<Samplers> | ||
<MonteCarlo name="MC_samp"> | ||
<samplerInit> | ||
<limit>10</limit> | ||
<initialSeed>050877</initialSeed> | ||
</samplerInit> | ||
<variable name="x1"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x2"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x3"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
</MonteCarlo> | ||
</Samplers> | ||
|
||
<DataObjects> | ||
<PointSet name="placeholder"/> | ||
<PointSet name="optOut"> | ||
<Input>x1,x2,x3</Input> | ||
<Output>obj1,obj2</Output> | ||
</PointSet> | ||
<PointSet name="opt_export"> | ||
<Input>trajID</Input> | ||
<Output>x1,x2,x3,obj1,obj2,age,batchId,rank,CD,FitnessEvaluation_obj1,FitnessEvaluation_obj2,accepted </Output><!--Modify if necessary CD,iteration,accepted,conv_AHDp--> | ||
</PointSet> | ||
</DataObjects> | ||
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||
<OutStreams> | ||
<Print name="optOut"> | ||
<type>csv</type> | ||
<source>optOut</source> | ||
</Print> | ||
<Print name="opt_export"> | ||
<type>csv</type> | ||
<source>opt_export</source> | ||
<clusterLabel>trajID</clusterLabel> | ||
</Print> | ||
<Plot name = "opt_path" subType="OptPath"> | ||
<source>opt_export</source> | ||
<vars>x1, x2, x3, obj1, obj2</vars> | ||
</Plot> | ||
<Plot name="population" subType="PopulationPlot"> | ||
<source> opt_export</source> | ||
<vars>x1, x2, x3, obj1, obj2</vars> | ||
<index>batchId</index> | ||
<how>png</how> | ||
</Plot> | ||
</OutStreams> | ||
</Simulation> |
188 changes: 188 additions & 0 deletions
188
...ptimizers/GeneticAlgorithms/continuous/unconstrained/ZDT1-static-0.0Xover-0.0Mutation.xml
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<?xml version="1.0" ?> | ||
<Simulation verbosity="debug" profile="jobs"> | ||
<TestInfo> | ||
<name>raven/tests/framework/Optimizers/GA.MultiObjZDT1</name> | ||
<author>Junyung Kim</author> | ||
<created>2023-02-21</created> | ||
<classesTested/> | ||
<description>ZDT1 test using NSGA-II. | ||
design variable $\vec{x} = [x1,x2,...x_n]; n here is equal to 3$ | ||
|
||
$obj_1(x) = x_1$ | ||
|
||
$g(x) = 1 + \frac{9}{n-1} \sum_{2}^{n} x_i = 1 + 4.5 * (x_2 + x_3)$ | ||
|
||
$h(obj1,g(x)) = 1 - \sqrt{\frac{obj_1}{g(x)}} = 1 - \sqrt(\frac{x_1}{1 + 4.5 * (x_2 + x_3)})$ | ||
|
||
$obj_2 = g(x) * h(obj_1,g(x))$ = [1 + 4.5 * (x_2 + x_3)] * \sqrt(x_1) * \sqrt(1 + 4.5 * (x_2 + x_3)) | ||
|
||
The analytic solution of this problem is as follows: | ||
Pareto front: | ||
$\vec{x}$: | ||
$0 \leq x_1 \leq 1, x_2 = 0, x_3 = 0,$ | ||
$obj_1$: | ||
$0 \leq obj_1 \leq 1$ | ||
$obj_2$ | ||
$1 \geq obj_1 \geq 0$ | ||
|
||
1.0 * | ||
* | ||
* | ||
* | ||
0.8 * | ||
* o | ||
* o | ||
* o | ||
0.6 * o | ||
* o | ||
obj_2 * o | ||
* o | ||
0.4 * o | ||
* o | ||
* o | ||
* o | ||
0.2 * o | ||
* o | ||
* o | ||
* o | ||
0 * o | ||
/....................................................................... | ||
0 0.2 0.4 0.6 0.8 1.0 | ||
obj_1 = x_1 | ||
</description> | ||
</TestInfo> | ||
|
||
<RunInfo> | ||
<WorkingDir>ZDT1-static-0.0Xover-0.0Mutation</WorkingDir> | ||
<Sequence>optimize,print</Sequence> | ||
<batchSize>1</batchSize> | ||
</RunInfo> | ||
|
||
<Steps> | ||
<MultiRun name="optimize" re-seeding="2286"> | ||
<Input class="DataObjects" type="PointSet">placeholder</Input> | ||
<Model class="Models" type="ExternalModel">ZDT</Model> | ||
<Optimizer class="Optimizers" type="GeneticAlgorithm">GAopt</Optimizer> | ||
<SolutionExport class="DataObjects" type="PointSet">opt_export</SolutionExport> | ||
<Output class="DataObjects" type="PointSet">optOut</Output> | ||
<Output class="OutStreams" type="Print">opt_export</Output> | ||
</MultiRun> | ||
<IOStep name="print"> | ||
<Input class="DataObjects" type="PointSet">opt_export</Input> | ||
<Input class="DataObjects" type="PointSet">optOut</Input> | ||
<Output class="OutStreams" type="Print">opt_export</Output> | ||
<Output class="OutStreams" type="Print">optOut</Output> | ||
<Output class="OutStreams" type="Plot">opt_path</Output> | ||
<Output class="OutStreams" type="Plot">population</Output> | ||
</IOStep> | ||
</Steps> | ||
|
||
<Models> | ||
<ExternalModel ModuleToLoad="../../../../AnalyticModels/optimizing/ZDT_model.py" name="ZDT" subType=""> | ||
<variables>x1,x2,x3,obj1,obj2</variables> | ||
</ExternalModel> | ||
</Models> | ||
|
||
<Distributions> | ||
<Uniform name='unifDist'> | ||
<lowerBound>0</lowerBound> | ||
<upperBound>3</upperBound> | ||
</Uniform> | ||
</Distributions> | ||
|
||
<Optimizers> | ||
<GeneticAlgorithm name="GAopt"> | ||
<samplerInit> | ||
<limit>15</limit> | ||
<initialSeed>42</initialSeed> | ||
<writeSteps>every</writeSteps> | ||
<type>min,min</type> | ||
</samplerInit> | ||
|
||
<GAparams> | ||
<populationSize>10</populationSize> | ||
<parentSelection>tournamentSelection</parentSelection> | ||
<reproduction> | ||
<crossover type="twoPointsCrossover"> | ||
<crossoverProb>0.0</crossoverProb> | ||
</crossover> | ||
<mutation type="randomMutator"> | ||
<mutationProb>0.0</mutationProb> | ||
</mutation> | ||
</reproduction> | ||
<fitness type="feasibleFirst"> | ||
</fitness> | ||
<survivorSelection>rankNcrowdingBased</survivorSelection> | ||
</GAparams> | ||
|
||
<!-- <convergence> | ||
<AHDp>0.0</AHDp> | ||
</convergence> --> | ||
|
||
<variable name="x1"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x2"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x3"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<objective>obj1, obj2 </objective> | ||
<TargetEvaluation class="DataObjects" type="PointSet">optOut</TargetEvaluation> | ||
<Sampler class="Samplers" type="MonteCarlo">MC_samp</Sampler> | ||
</GeneticAlgorithm> | ||
</Optimizers> | ||
|
||
<Samplers> | ||
<MonteCarlo name="MC_samp"> | ||
<samplerInit> | ||
<limit>10</limit> | ||
<initialSeed>050877</initialSeed> | ||
</samplerInit> | ||
<variable name="x1"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x2"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
<variable name="x3"> | ||
<distribution>unifDist</distribution> | ||
</variable> | ||
</MonteCarlo> | ||
</Samplers> | ||
|
||
<DataObjects> | ||
<PointSet name="placeholder"/> | ||
<PointSet name="optOut"> | ||
<Input>x1,x2,x3</Input> | ||
<Output>obj1,obj2</Output> | ||
</PointSet> | ||
<PointSet name="opt_export"> | ||
<Input>trajID</Input> | ||
<Output>x1,x2,x3,obj1,obj2,age,batchId,rank,CD,FitnessEvaluation_obj1,FitnessEvaluation_obj2,accepted </Output><!--Modify if necessary CD,iteration,accepted,conv_AHDp--> | ||
</PointSet> | ||
</DataObjects> | ||
|
||
<OutStreams> | ||
<Print name="optOut"> | ||
<type>csv</type> | ||
<source>optOut</source> | ||
</Print> | ||
<Print name="opt_export"> | ||
<type>csv</type> | ||
<source>opt_export</source> | ||
<clusterLabel>trajID</clusterLabel> | ||
</Print> | ||
<Plot name = "opt_path" subType="OptPath"> | ||
<source>opt_export</source> | ||
<vars>x1, x2, x3, obj1, obj2</vars> | ||
</Plot> | ||
<Plot name="population" subType="PopulationPlot"> | ||
<source> opt_export</source> | ||
<vars>x1, x2, x3, obj1, obj2</vars> | ||
<index>batchId</index> | ||
<how>png</how> | ||
</Plot> | ||
</OutStreams> | ||
</Simulation> |
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