Add the high-dimensional, low-degree polynomial test function from Alemazkoor and Meidani (2018)

Question

Add the high-dimensional, low-degree polynomial test function from Alemazkoor and Meidani (2018)

Closed this issue 10 months ago · 1 comments

The 20-dimensional function was used in a metamodeling exercise¹; it features a sparse polynomial structure in high-dimension but with low degree of interaction. The function reads:

$$ \mathcal{M}(\boldsymbol{x}) = \sum_{m = 1}^{19} x_m x_{m + 1}, $$

where $X_i \sim \mathcal{U}(-1, 1)$.

N. Alemazkoor and H. Meidani, “A near-optimal sampling strategy for sparse recovery of polynomial chaos expansions,” Journal of Computational Physics, vol. 371, pp. 137–151, Oct. 2018, doi: 10.1016/j.jcp.2018.05.025. ↩

Answer 1 · 2023-12-07T22:52:14.000Z

This issue has been resolved by PR #322.

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