Gao Huang

collaborators

Showing math.STShow all

3 papers · 1 filter

math.ST2026

Low-Rank Matrix Recovery via Heavy-Tailed Quadratic Sampling

Gao Huang, Song Li

The problem of recovering an (approximately) low-rank Hermitian matrix $M_{0} \in C^{n \times n}$ of rank $r$ from quadratic sampling matrices of the form $\{\pmb{a}_k…

math.ST2026

Focused Width in Adversarial Fake Detection: A Separation

Gao Huang

We study the adversarial fake detection model introduced by Mendelson, Paouris and Vershynin. In this model, a genuine sample is $X \sim N (0, I_{n})$ , while a fake sample i…

math.ST2025

Stable Phase Retrieval: Optimal Rates in Poisson and Heavy-tailed Models

Gao Huang, Song Li, Deanna Needell

We investigate stable recovery guarantees for phase retrieval under two realistic and challenging noise models: the Poisson model and the heavy-tailed model. Our analysis covers bo…