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π
The Cartographer
Experimental Design Using Interlacing Polynomials
October 15, 2024 Β· Declared Dead Β· π SIAM Symposium on Simplicity in Algorithms
"No code URL or promise found in abstract"
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Authors
Lap Chi Lau, Robert Wang, Hong Zhou
arXiv ID
2410.11390
Category
cs.DS: Data Structures & Algorithms
Cross-listed
cs.LG,
stat.CO,
stat.ML
Citations
1
Venue
SIAM Symposium on Simplicity in Algorithms
Last Checked
4 months ago
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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