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arXiv · 2410.11390

Experimental Design Using Interlacing Polynomials

Lap Chi Lau·Robert Wang·Hong Zhou
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Abstract

We present a unified deterministic approach for experimental design problems using the method of interlacing polynomials. Our framework recovers the best-known approximation guarantees for the well-studied D/A/E-design problems with simple analysis. Furthermore, we obtain improved non-trivial approximation guarantee for E-design in the challenging small budget regime. Additionally, our approach provides an optimal approximation guarantee for a generalized ratio objective that generalizes both D-design and A-design.

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Lap Chi Lau, Robert Wang, Hong Zhou. 2024-10-15. Experimental Design Using Interlacing Polynomials. https://arxiv.org/abs/2410.11390

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