6 citations · 6 across the 15 of their papers we have counts for
5 papers · 1 filter
Nonsmooth Optimization via Orthogonalized Momentum
Lexiao Lai, Tianyi Lin, Jiayu Zhang
Modern real application problems involve matrix-valued parameters, yet conventional optimizers treat them as vectors, thereby motivating matrix-aware methods that exploit input-out…
Convergence of difference inclusions: a diameter criterion and step-size conditions
Lexiao Lai, Mingzhi Song
We study bounded realizations of discrete difference inclusions with set-valued increments and additive errors. Our results have two parts. First, we give a general convergence cri…
Certifying optimality in nonconvex robust PCA
Pinxi Gong, Lexiao Lai, Jianhao Ma
Robust principal component analysis seeks to recover a low-rank matrix from fully observed data with sparse corruptions. A scalable approach fits a low-rank factorization by minimi…
Global convergence of the subgradient method for robust signal recovery
Zesheng Cai, Lexiao Lai, Tiansheng Li
We study the subgradient method for factorized robust signal recovery problems, including robust PCA, robust phase retrieval, and robust matrix sensing. The resulting objectives ar…
Manifold constrained steepest descent for smooth and closed-set optimization
Kaiwei Yang, Lexiao Lai
We study minimization of smooth functions over feasible sets that have smooth embedded-manifold structure throughout or only on selected regions, using linear minimization oracles…