Is there a way in Matlab to generate an optimal Latin Hypercube with uniformly distributed points?

I want to generate optimal Latin Hypercube sampling using Matlab. In short, I want the sampling to cover the design space as uniformly as possible but in the form of a Latin Hypercube Design. I would like to get the points are uniformly distributed.

Any help will be appreciated. Thank you!

Answer 1

[Balaji]

Hi Malik

To generate an optimal Latin Hypercube Sampling (LHS) in MATLAB, you can use the 'lhsdesign' function, which is available in the Statistics and Machine Learning Toolbox.

You can refer to the below code for reference :

n = 10; % Number of samples
d = 2; % Number of dimensions (variables)
lhs = lhsdesign(n, d, 'criterion', 'maximin', 'iterations', 1000);

For more information on 'lhsdesign' you can refer to the link below:

https://www.mathworks.com/help/stats/lhsdesign.html

Hope this helps

Balaji