I try to write simple analytical function Gomez and Levy with ga in optimization toolbox but it cannot run

Question

sogol bandekian 2022-5-7

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1713740-i-try-to-write-simple-analytical-function-gomez-and-levy-with-ga-in-optimization-toolbox-but-it-cann

评论： Walter Roberson 2022-5-24

%fitness function Gomez and Levy
 
function y=fitnessfunctiongl(x)
 
x1=x(1);
x2=x(2);
 
y=(4*x1.^2)-2.1*x1.^4+1/3*x1.^6+(x1*x2)-4*x2.^2+4*x2.^4;
 
end
¬¬¬¬¬%constraints
 
function [c ,ceq]=constraintgl(x)
x1=x(1);
x2=x(2);
c=-sin(4*pi*x1)+2*sin(2*pi*x2)^2-1.5;
ceq=[];
end
%main script to pass function and constraints to ga for optimization 
ObjFcn=@fitnessfunctiongl;
nvars=2;
lb=[-1, -1];
ub=[0.75, 1];
 
nonlcon=@constraintgl;
options = optimoptions('ga','ConstraintTolerance',1e-6,'Display','iter','PlotFcn',{@gaplotrange,@gaplotbestf,@gaplotselection,@gaplotmaxconstr}); %plotting the process of finding the solution 
%solution and function value
[x , fval,exitFlag,output,population,scores]= ga(ObjFcn,nvars,[],[],[],[],lb,ub,nonlcon,options);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%errors
Error in gadsplot (line 141)
        [state,optimvalues] = callOnePlotFcn(fname,plotNames{i},state,options.OutputPlotFcnOptions,optimvalues,'init',args{i}{:});
Error in gacon (line 55)
state = gadsplot(options,state,'init','Genetic Algorithm');
Error in ga (line 406)
                [x,fval,exitFlag,output,population,scores] = gacon(FitnessFcn,nvars, ...
Error in maingl (line 11)
[x , fval,exitFlag,output,population,scores]= ga(ObjFcn,nvars,[],[],[],[],lb,ub,nonlcon,options);
 

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Walter Roberson 2022-5-7

What error did you encounter?

sogol bandekian 2022-5-10

Error using makeState (line 61)

Your fitness function must return a scalar value.

Error in gacon (line 44)

state = makeState(GenomeLength,SubFitness,Iterate,subtype,options);

Error in ga (line 406)

[x,fval,exitFlag,output,population,scores] = gacon(FitnessFcn,nvars, ...

Error in maingl (line 11)

[x , fval,exitFlag,output,population,scores]= ga(ObjFcn,nvars,[],[],[],[],lb,ub,nonlcon,options);

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Answer 1

Walter Roberson 2022-5-10

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1713740-i-try-to-write-simple-analytical-function-gomez-and-levy-with-ga-in-optimization-toolbox-but-it-cann#answer_960945

在 MATLAB Online 中打开

y=(4*x1.^2)-2.1*x1.^4+1/3*x1.^6+(x1*x2)-4*x.^2+4*x2.^4;

Notice that you have 4*x.^2 . But x is a vector so that would return a vector.

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Walter Roberson 2022-5-10

在 MATLAB Online 中打开

I do not get that error.

Note: in the below, setting the PlotFcn to [] is done for the purpose of being able to run the code here in MATLAB Answers, as the plot functions need a call that is not supported for the MATLAB Answers facility. For your own use, comment out the line that removes the plot fcn.

%main script to pass function and constraints to ga for optimization 
ObjFcn=@fitnessfunctiongl;
nvars=2;
lb=[-1, -1];
ub=[0.75, 1];
 
nonlcon=@constraintgl;
options = optimoptions('ga','ConstraintTolerance',1e-6,'Display','iter','PlotFcn',{@gaplotrange,@gaplotbestf,@gaplotselection,@gaplotmaxconstr}); %plotting the process of finding the solution 
options.PlotFcn = [];
%solution and function value
[x , fval,exitFlag,output,population,scores]= ga(ObjFcn,nvars,[],[],[],[],lb,ub,nonlcon,options);
Single objective optimization:
2 Variable(s)
1 Nonlinear inequality constraint(s)

Options:
CreationFcn:       @gacreationuniform
CrossoverFcn:      @crossoverscattered
SelectionFcn:      @selectionstochunif
MutationFcn:       @mutationadaptfeasible

                              Best       Max        Stall
Generation  Func-count        f(x)     Constraint  Generations
    1           2500      -1.03163            0      0
    2           4950      -1.03163            0      0
    3           7400      -1.03163            0      0
    4           9850      -1.03163            0      0
    5          12300      -1.03163            0      1
Optimization terminated: average change in the fitness value less than options.FunctionTolerance
 and constraint violation is less than options.ConstraintTolerance.
%fitness function Gomez and Levy
 
function y=fitnessfunctiongl(x)
 
x1=x(1);
x2=x(2);
 
y=(4*x1.^2)-2.1*x1.^4+1/3*x1.^6+(x1*x2)-4*x2.^2+4*x2.^4;
 
end
 
function [c ,ceq]=constraintgl(x)
%constraints
x1=x(1);
x2=x(2);
c=-sin(4*pi*x1)+2*sin(2*pi*x2)^2-1.5;
ceq=[];
end

Walter Roberson 2022-5-17

在 MATLAB Online 中打开

When I remove the line that assigns [] to plot function, and try to show you the results here, then see:

%main script to pass function and constraints to ga for optimization 
ObjFcn=@fitnessfunctiongl;
nvars=2;
lb=[-1, -1];
ub=[0.75, 1];
 
nonlcon=@constraintgl;
options = optimoptions('ga','ConstraintTolerance',1e-6,'Display','iter','PlotFcn',{@gaplotrange,@gaplotbestf,@gaplotselection,@gaplotmaxconstr}); %plotting the process of finding the solution 
%solution and function value
[x , fval,exitFlag,output,population,scores]= ga(ObjFcn,nvars,[],[],[],[],lb,ub,nonlcon,options);
Single objective optimization:
2 Variable(s)
1 Nonlinear inequality constraint(s)

Options:
CreationFcn:       @gacreationuniform
CrossoverFcn:      @crossoverscattered
SelectionFcn:      @selectionstochunif
MutationFcn:       @mutationadaptfeasible
Error using uicontrol
This functionality is not available on remote platforms.

Error in gadsplot (line 98)
    pObj = uicontrol('string','Pause', ...

Error in gacon (line 64)
state = gadsplot(options,state,'init','Genetic Algorithm');

Error in ga (line 418)
                [x,fval,exitFlag,output,population,scores] = gacon(FitnessFcn,nvars, ...
%fitness function Gomez and Levy
 
function y=fitnessfunctiongl(x)
 
x1=x(1);
x2=x(2);
 
y=(4*x1.^2)-2.1*x1.^4+1/3*x1.^6+(x1*x2)-4*x2.^2+4*x2.^4;
 
end
 
function [c ,ceq]=constraintgl(x)
%constraints
x1=x(1);
x2=x(2);
c=-sin(4*pi*x1)+2*sin(2*pi*x2)^2-1.5;
ceq=[];
end

When you run this version of the code on your own desktop, or on MATLAB Online, you will instead get a plot -- but the MATLAB Answers facility that we are using right now does not allow the code to run because the plotfcn tries to create an interactive "Stop" button for the plot and the Answers faciity does not support interactive buttons.

sogol bandekian 2022-5-22

I did this in MATLAB online but the plot are empty.how I can fix this?

Walter Roberson 2022-5-24

The plots are not empty. The optimization is configured for a maximum number of generations and that is the x axis used so that it does not get continually redrawn as more generations are processed. The optimization either succeeded or failed in a small number of generations, on the order of 5 generations.

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Answer 2

Bhavana Ravirala 2022-5-10

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链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/1713740-i-try-to-write-simple-analytical-function-gomez-and-levy-with-ga-in-optimization-toolbox-but-it-cann#answer_960860

Hi Sogol,

When I try to reproduce the issue at my end I encountered the error as Function definition not supported in this context. Create functions in a code file. If you are facing the same error refer to the below link to eliminate the error.

Error: Function definition not supported in this context. Create functions in code file. - (mathworks.com)

If not, can you send us the exact error message that you are getting.

Hope this helps!!

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sogol bandekian 2022-5-10

hello thank you for reply.these below errors are what I got

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Error using makeState (line 61)

Your fitness function must return a scalar value.

Error in gacon (line 44)

state = makeState(GenomeLength,SubFitness,Iterate,subtype,options);

Error in ga (line 406)

[x,fval,exitFlag,output,population,scores] = gacon(FitnessFcn,nvars, ...

Error in maingl (line 11)

[x , fval,exitFlag,output,population,scores]= ga(ObjFcn,nvars,[],[],[],[],lb,ub,nonlcon,options);

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I try to write simple analytical function Gomez and Levy with ga in optimization toolbox but it cannot run

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I try to write simple analytical function Gomez and Levy with ga in optimization toolbox but it cannot run

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