Experimental Design for Any $p$-Norm

Lap Chi Lau; Robert Wang; Hong Zhou

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arXiv · 2305.01942

Experimental Design for Any $p$-Norm

Lap Chi Lau·Robert Wang·Hong Zhou

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Abstract

We consider a general $p$-norm objective for experimental design problems that captures some well-studied objectives (D/A/E-design) as special cases. We prove that a randomized local search approach provides a unified algorithm to solve this problem for all $p$. This provides the first approximation algorithm for the general $p$-norm objective, and a nice interpolation of the best known bounds of the special cases.

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BibTeX RIS

Lap Chi Lau, Robert Wang, Hong Zhou. 2023-05-03. Experimental Design for Any $p$-Norm. https://arxiv.org/abs/2305.01942

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