Resolution of the gamultiobj's variable

Hi community!

To what resolution does the random search algorithm generates new samples? Is it possible to specify a certain resolution to search for a varible?

For example, the independent variable I want to search over, a, has the limit of . Is it possible to only search for a that is as accurate as the level of 0.01? It reduces the search space to only 200 points.

I assume doing this would make the search converge faster and also, in my application, I do not really care about a at the decimal of 0.001.

Thank you in advance for your help!

Xiaowei

Answer 1

[Nipun]

Hi Xiaowei,

I understand that you want to specify a resolution for the random search algorithm. You can discretize the search space manually:

a_values = -1:0.01:1; % Set resolution to 0.01

This approach limits the search space, making the search process faster.

For more details on generating a random scalar, refer to MATLAB documentation: https://www.mathworks.com/help/comm/ref/randsrc.html

Hope this helps.

Regards,

Nipun

[Xiaowei]

Hi Nipun,

Thank you for your answer! Sorry for the late response as I didn't receive any notification from the forum that my question has been answered.

In gamultiobj, how can I discretize the search space? Because when I am setting up the algorithm, it only asks me to specify a lower bound and upper bound for the search space. I didn't find where I can specify the discretization.

Best regards,

Xiaowei

Answer 2

[Walter Roberson]

Search over integers -100 to +100 and divide by 100 before use.

[Xiaowei]

Hi Walter,

Do you mean I should

1. make my variables integer
2. specify the range according to my needs?

Thank you!

Xiaowei

[Walter Roberson]

nvars = 1;    %number of variables
intcon = 1;  %first variable has integer constraints
A = []; b = [];
Aeq = []; beq = [];
lb = -100; ub = 100;
nonlcon = [];
options = [];
results = gamultiobj(@(vars) ObjectiveFunction(vars/100), nvars, A, b, Aeq, beq, lb, ub, nonlcon, intcon, options);