4 papers
cs.IT2026
PhaseLift for Coded Diffraction Patterns: Optimal Sampling Rate
Gao Huang, Song Li
Recovering a complex-valued signal from coded diffraction patterns, namely the Fourier intensities obtained after modulating the signal with a collection of masks, is a fundamental…
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 of rank 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 , 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…