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A Riemannian smoothing steepest descent method for non-Lipschitz optimization on submanifolds


Apr 09, 2021
Chao Zhang, Xiaojun Chen, Shiqian Ma


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Projection Robust Wasserstein Barycenters


Feb 22, 2021
Minhui Huang, Shiqian Ma, Lifeng Lai


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Projection Robust Wasserstein Barycenter


Feb 05, 2021
Minhui Huang, Shiqian Ma, Lifeng Lai


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A Riemannian Block Coordinate Descent Method for Computing the Projection Robust Wasserstein Distance


Jan 13, 2021
Minhui Huang, Shiqian Ma, Lifeng Lai


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Robust Low-rank Matrix Completion via an Alternating Manifold Proximal Gradient Continuation Method


Aug 18, 2020
Minhui Huang, Shiqian Ma, Lifeng Lai


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A Manifold Proximal Linear Method for Sparse Spectral Clustering with Application to Single-Cell RNA Sequencing Data Analysis


Jul 18, 2020
Zhongruo Wang, Bingyuan Liu, Shixiang Chen, Shiqian Ma, Lingzhou Xue, Hongyu Zhao


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Manifold Proximal Point Algorithms for Dual Principal Component Pursuit and Orthogonal Dictionary Learning


May 05, 2020
Shixiang Chen, Zengde Deng, Shiqian Ma, Anthony Man-Cho So


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Riemannian Stochastic Proximal Gradient Methods for Nonsmooth Optimization over the Stiefel Manifold


May 03, 2020
Bokun Wang, Shiqian Ma, Lingzhou Xue


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Zeroth-order Optimization on Riemannian Manifolds


Mar 25, 2020
Jiaxiang Li, Krishnakumar Balasubramanian, Shiqian Ma


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Zeroth-Order Algorithms for Nonconvex Minimax Problems with Improved Complexities


Jan 22, 2020
Zhongruo Wang, Krishnakumar Balasubramanian, Shiqian Ma, Meisam Razaviyayn


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Accelerated Dual-Averaging Primal-Dual Method for Composite Convex Minimization


Jan 15, 2020
Conghui Tan, Yuqiu Qian, Shiqian Ma, Tong Zhang

* Optimization Methods and Software 2020 

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An Alternating Manifold Proximal Gradient Method for Sparse PCA and Sparse CCA


Mar 27, 2019
Shixiang Chen, Shiqian Ma, Lingzhou Xue, Hui Zou


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Stochastic Primal-Dual Method for Empirical Risk Minimization with $\mathcal{O}(1)$ Per-Iteration Complexity


Nov 03, 2018
Conghui Tan, Tong Zhang, Shiqian Ma, Ji Liu

* NIPS 2018 

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Proximal Gradient Method for Manifold Optimization


Nov 02, 2018
Shixiang Chen, Shiqian Ma, Anthony Man-Cho So, Tong Zhang


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Efficient Optimization Algorithms for Robust Principal Component Analysis and Its Variants


Jun 09, 2018
Shiqian Ma, Necdet Serhat Aybat

* to appear in Proceedings of the IEEE 

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Highly accurate model for prediction of lung nodule malignancy with CT scans


Feb 06, 2018
Jason Causey, Junyu Zhang, Shiqian Ma, Bo Jiang, Jake Qualls, David G. Politte, Fred Prior, Shuzhong Zhang, Xiuzhen Huang


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Structured Nonconvex and Nonsmooth Optimization: Algorithms and Iteration Complexity Analysis


Jan 17, 2018
Bo Jiang, Tianyi Lin, Shiqian Ma, Shuzhong Zhang

* Section 4.1 is updated 

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Global Convergence of Unmodified 3-Block ADMM for a Class of Convex Minimization Problems


Jan 17, 2018
Tianyi Lin, Shiqian Ma, Shuzhong Zhang


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Primal-Dual Optimization Algorithms over Riemannian Manifolds: an Iteration Complexity Analysis


Oct 05, 2017
Junyu Zhang, Shiqian Ma, Shuzhong Zhang


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Geometric descent method for convex composite minimization


May 30, 2017
Shixiang Chen, Shiqian Ma, Wei Liu

* Updated numerical results 

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Stochastic Quasi-Newton Methods for Nonconvex Stochastic Optimization


May 21, 2017
Xiao Wang, Shiqian Ma, Donald Goldfarb, Wei Liu

* published in SIAM Journal on Optimization 

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Barzilai-Borwein Step Size for Stochastic Gradient Descent


May 23, 2016
Conghui Tan, Shiqian Ma, Yu-Hong Dai, Yuqiu Qian


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An Extragradient-Based Alternating Direction Method for Convex Minimization


Jul 09, 2015
Tianyi Lin, Shiqian Ma, Shuzhong Zhang


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Alternating Direction Methods for Latent Variable Gaussian Graphical Model Selection


Sep 26, 2012
Shiqian Ma, Lingzhou Xue, Hui Zou


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Sparse Inverse Covariance Selection via Alternating Linearization Methods


Oct 30, 2010
Katya Scheinberg, Shiqian Ma, Donald Goldfarb

* NIPS 2010 

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Fast Alternating Linearization Methods for Minimizing the Sum of Two Convex Functions


Oct 13, 2010
Donald Goldfarb, Shiqian Ma, Katya Scheinberg


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