131 citations · 736 across the 56 of their papers we have counts for
57 papers
A New Inexact Proximal Linear Algorithm with Adaptive Stopping Criteria for Robust Phase Retrieval
Zhong Zheng, Shiqian Ma, Lingzhou Xue
This paper considers the robust phase retrieval problem, which can be cast as a nonsmooth and nonconvex optimization problem. We propose a new inexact proximal linear algorithm wit…
A Riemannian ADMM
Jiaxiang Li, Shiqian Ma, Tejes Srivastava
We consider a class of Riemannian optimization problems where the objective is the sum of a smooth function and a nonsmooth function, considered in the ambient space. This class of…
Decentralized Stochastic Bilevel Optimization with Improved per-Iteration Complexity
Xuxing Chen, Minhui Huang, Shiqian Ma +1
Bilevel optimization recently has received tremendous attention due to its great success in solving important machine learning problems like meta learning, reinforcement learning,…
Federated Learning on Riemannian Manifolds
Jiaxiang Li, Shiqian Ma
Federated learning (FL) has found many important applications in smart-phone-APP based machine learning applications. Although many algorithms have been studied for FL, to the best…
Efficiently Escaping Saddle Points in Bilevel Optimization
Minhui Huang, Xuxing Chen, Kaiyi Ji +2
Bilevel optimization is one of the fundamental problems in machine learning and optimization. Recent theoretical developments in bilevel optimization focus on finding the first-ord…
A Riemannian smoothing steepest descent method for non-Lipschitz optimization on submanifolds
Chao Zhang, Xiaojun Chen, Shiqian Ma
In this paper, we propose a Riemannian smoothing steepest descent method to minimize a nonconvex and non-Lipschitz function on submanifolds. The generalized subdifferentials on Rie…