Add sparse grid designs

[saudzahirr]

Add Sparse Grid Designs using Smolyak’s construction, including doe_sparse_grid, and sparse_grid_dimension with docs and tests.

[saudzahirr]

Implementation of Sparse Grid Design #16

[saudzahirr]

@relf @EwoutH @quaquel Please review these changes!

[EwoutH]

Thanks for this work!

Generally, it looks good and complete.

The pyDOE3 module provides sparse grid construction using Smolyak's construction [Smolyak1963] for generating experimental designs with hierarchical grid structures that maintain good space-filling properties while requiring significantly fewer points than traditional full grid approaches in high-dimensional spaces.

This implementation is based on the MATLAB Sparse Grid Interpolation Toolbox by Andreas Klimke [Klimke2005] and provides exact compatibility with MATLAB spinterp's spdim function.

It's nice that it's based on a an existing implementation.

I'm not sure if the convenience features doe_sparse_cc and doe_sparse_chebyshev are needed. @relf can maybe give insights on the best practices for API design for this repo.

@quaquel, what do you think of this implementation? Are these the right (or at least useful) Sparse Grids? Is this useful for non-full-factorial experimental designs in your opinion?

[relf]

Thanks @saudzahirr! Looks like you are DOE-ing very well! 😄

[saudzahirr]

Thanks @saudzahirr! Looks like you are DOE-ing very well! 😄

Another day, another DOE! 😎

[saudzahirr]

@relf, @laraibg786 and I are planning to modernize the docs by migrating from Sphinx to MkDocs (Material theme), similar to Pydantic’s docs. Would you be open to a PR for this?

[saudzahirr]

@EwoutH please review the changes.

[relf]

@relf, @laraibg786 and I are planning to modernize the docs by migrating from Sphinx to MkDocs (Material theme), similar to Pydantic’s docs. Would you be open to a PR for this?

Sure, I also prefer markdown

[saudzahirr]

@relf I propose that we proceed with the release once @EwoutH approves the PR. What are your thoughts?

[saudzahirr]

@EwoutH waiting for your approval!

[EwoutH]

I will try to take a look later today.

[saudzahirr]

Hi @EwoutH, just following up on this. All checks have passed and @relf has approved. Would you be able to take a final look so we can proceed with the merge and the next release?