4 papers
cs.LG2026
Local Urysohn Width: A Topological Complexity Measure for Classification
Xin Li
We introduce \emph{local Urysohn width}, a complexity measure for classification problems on metric spaces. Unlike VC dimension, fat-shattering dimension, and Rademacher complexity…
cs.DS2025
Tight Bounds for Noisy Computation of High-Influence Functions, Connectivity, and Threshold
Yuzhou Gu, Xin Li, Yinzhan Xu
In the noisy query model, the (binary) return value of every query (possibly repeated) is independently flipped with some fixed probability . In this paper, we obta…
cs.IT2024
Improved Explicit Near-Optimal Codes in the High-Noise Regimes
Xin Li, Songtao Mao
We study uniquely decodable codes and list decodable codes in the high-noise regime, specifically codes that are uniquely decodable from fraction of error…
cs.CC2024
Improved Condensers for Chor-Goldreich Sources
Jesse Goodman, Xin Li, David Zuckerman
One of the earliest models of weak randomness is the Chor-Goldreich (CG) source. A -CG source is a sequence of random variables , where…