Journal: Math. Program.

Volume 176, Issue 1-2

1 -- 4Yufeng Liu, Jong-Shi Pang, Jack Xin. Preface
5 -- 37Yuxin Chen 0002, Yuejie Chi, Jianqing Fan, Cong Ma. Gradient descent with random initialization: fast global convergence for nonconvex phase retrieval
39 -- 67Yifan Chen, Yuejiao Sun, Wotao Yin. Run-and-Inspect Method for nonconvex optimization and global optimality bounds for R-local minimizers
69 -- 94Frank E. Curtis, Daniel P. Robinson. Exploiting negative curvature in deterministic and stochastic optimization
95 -- 135Hongbo Dong, Miju Ahn, Jong-Shi Pang. Structural properties of affine sparsity constraints
137 -- 173Carson Eisenach, Han Liu. Efficient, certifiably optimal clustering with applications to latent variable graphical models
175 -- 205Ethan X. Fang, Han Liu 0001, Mengdi Wang. Blessing of massive scale: spatial graphical model estimation with a total cardinality constraint approach
207 -- 245Davood Hajinezhad, Mingyi Hong. Perturbed proximal primal-dual algorithm for nonconvex nonsmooth optimization
247 -- 278Michael Ho, Jack Xin. Sparse Kalman filtering approaches to realized covariance estimation from high frequency financial data
279 -- 310Koulik Khamaru, Rahul Mazumder. Computation of the maximum likelihood estimator in low-rank factor analysis
311 -- 337Jason D. Lee, Ioannis Panageas, Georgios Piliouras, Max Simchowitz, Michael I. Jordan, Benjamin Recht. First-order methods almost always avoid strict saddle points
339 -- 367Tianxiang Liu, Ting Kei Pong, Akiko Takeda. A successive difference-of-convex approximation method for a class of nonconvex nonsmooth optimization problems
369 -- 401Zhaosong Lu, Zirui Zhou, Zhe Sun. Enhanced proximal DC algorithms with extrapolation for a class of structured nonsmooth DC minimization
403 -- 427Michael O'Neill, Stephen J. Wright. Behavior of accelerated gradient methods near critical points of nonconvex functions
429 -- 463Chengde Qian, Quoc Tran-Dinh, Sheng Fu, Changliang Zou, Yufeng Liu. Robust multicategory support matrix machines
465 -- 496Meisam Razaviyayn, Mingyi Hong, Navid Reyhanian, Zhi-Quan Luo. A linearly convergent doubly stochastic Gauss-Seidel algorithm for solving linear equations and a certain class of over-parameterized optimization problems
497 -- 544Gesualdo Scutari, Ying Sun 0003. Distributed nonconvex constrained optimization over time-varying digraphs
545 -- 571Zhuoran Yang, Lin F. Yang, Ethan X. Fang, Tuo Zhao, Zhaoran Wang, Matey Neykov. Misspecified nonconvex statistical optimization for sparse phase retrieval