Latin hypercube sampling with constraints

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Ben 2015-5-14

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https://ww2.mathworks.cn/matlabcentral/answers/216680-latin-hypercube-sampling-with-constraints

编辑： Ahmed Abouhussein 2021-3-5

Im trying to do a LHS design with linear nonequality constraints. Is this possible with the lhsdesign function which is incorporated in MATLAB 2014b? If this is not possible, is there another sampling design which enables constraints?

Kind regards

Ben

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Alexander 2019-5-21

Are there any ideas about this question, which are up-to-date?

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Answer 1

aooEo 2019-8-17

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https://ww2.mathworks.cn/matlabcentral/answers/216680-latin-hypercube-sampling-with-constraints#answer_387986

https://www.mathworks.com/matlabcentral/fileexchange/57657-lhs-doe-generator this is the app to solve your problem.

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Ahmed Abouhussein 2021-3-5

编辑：Ahmed Abouhussein 2021-3-5

This app appears to be setting up an LHS study and then enforcing the constraints by ignoring the non feasible candidates. It still space filling to some extent and it works well but its not "true" LHS. However as far as state of the art goes, I was not able to find anything better, at least using LHS. This is the closest that I could find:

https://arxiv.org/abs/0909.0329

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