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Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution

28 November 2017

Papers citing "Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution"

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Title
Euclidean Distance Matrix Completion via Asymmetric Projected Gradient Descent Yicheng Li Xinghua Sun 77 0 0 28 Apr 2025
Non-convex matrix sensing: Breaking the quadratic rank barrier in the sample complexity Dominik Stoger Yizhe Zhu 84 2 0 20 Aug 2024
Leave-One-Out Analysis for Nonconvex Robust Matrix Completion with General Thresholding Functions Tianming Wang Ke Wei 66 1 0 28 Jul 2024
A Gauss-Newton Approach for Min-Max Optimization in Generative Adversarial Networks Neel Mishra Bamdev Mishra Pratik Jawanpuria Pawan Kumar GAN 58 1 0 10 Apr 2024
Adaptive Consensus Optimization Method for GANs Sachin Kumar Danisetty Santhosh Reddy Mylaram Pawan Kumar ODL 43 3 0 20 Apr 2023
How robust is randomized blind deconvolution via nuclear norm minimization against adversarial noise? Julia Kostin Felix Krahmer Dominik Stöger 56 0 0 17 Mar 2023
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in heteroskedastic PCA Yuchen Zhou Yuxin Chen 71 4 0 10 Mar 2023
$Approximate message passing from random initialization with applications to $\mathbb{Z}_{2}$ synchronization$ Approximate message passing from random initialization with applications to $\mathbb{Z}_{2}$ synchronization Gen Li Wei Fan Yuting Wei 91 12 0 07 Feb 2023
The Power of Preconditioning in Overparameterized Low-Rank Matrix Sensing Xingyu Xu Yandi Shen Yuejie Chi Cong Ma 122 37 0 02 Feb 2023
Rank-1 Matrix Completion with Gradient Descent and Small Random Initialization Daesung Kim Hye Won Chung 86 2 0 19 Dec 2022
Learning Transition Operators From Sparse Space-Time Samples C. Kümmerle Mauro Maggioni Sui Tang 57 1 0 01 Dec 2022
Towards a Theoretical Foundation of Policy Optimization for Learning Control Policies Bin Hu Kai Zhang Na Li M. Mesbahi Maryam Fazel Tamer Bacsar 161 27 0 10 Oct 2022
Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective Yuetian Luo Nicolas García Trillos 47 7 0 29 Sep 2022
Gradient-Free Methods for Deterministic and Stochastic Nonsmooth Nonconvex Optimization Tianyi Lin Zeyu Zheng Michael I. Jordan 110 55 0 12 Sep 2022
Sudakov-Fernique post-AMP, and a new proof of the local convexity of the TAP free energy Michael Celentano 89 21 0 19 Aug 2022
Variational Bayesian inference for CP tensor completion with side information S. Budzinskiy N. Zamarashkin 47 2 0 24 Jun 2022
What is a Good Metric to Study Generalization of Minimax Learners? Asuman Ozdaglar S. Pattathil Jiawei Zhang Kai Zhang 56 14 0 09 Jun 2022
Model-Based Reinforcement Learning for Offline Zero-Sum Markov Games Yuling Yan Gen Li Yuxin Chen Jianqing Fan OffRL 102 11 0 08 Jun 2022
Synthetically Controlled Bandits Vivek Farias C. Moallemi Tianyi Peng Andrew Zheng 90 13 0 14 Feb 2022
On Asymptotic Linear Convergence of Projected Gradient Descent for Constrained Least Squares Trung Vu Raviv Raich 52 13 0 22 Dec 2021
OMASGAN: Out-of-Distribution Minimum Anomaly Score GAN for Sample Generation on the Boundary Nikolaos Dionelis Mehrdad Yaghoobi Sotirios A. Tsaftaris OODD 47 6 0 28 Oct 2021
On Geometric Connections of Embedded and Quotient Geometries in Riemannian Fixed-rank Matrix Optimization Yuetian Luo Xudong Li Xinmiao Zhang 44 6 0 23 Oct 2021
Factorization Approach for Low-complexity Matrix Completion Problems: Exponential Number of Spurious Solutions and Failure of Gradient Methods Baturalp Yalcin Haixiang Zhang Javad Lavaei Somayeh Sojoudi 136 13 0 19 Oct 2021
Nonconvex Factorization and Manifold Formulations are Almost Equivalent in Low-rank Matrix Optimization Yuetian Luo Xudong Li Anru R. Zhang 81 11 0 03 Aug 2021
Inference for Heteroskedastic PCA with Missing Data Yuling Yan Yuxin Chen Jianqing Fan 122 19 0 26 Jul 2021
Small random initialization is akin to spectral learning: Optimization and generalization guarantees for overparameterized low-rank matrix reconstruction Dominik Stöger Mahdi Soltanolkotabi ODL 80 78 0 28 Jun 2021
GNMR: A provable one-line algorithm for low rank matrix recovery Pini Zilber B. Nadler 133 14 0 24 Jun 2021
Learning Treatment Effects in Panels with General Intervention Patterns Vivek F. Farias Andrew A. Li Tianyi Peng CML 78 10 0 05 Jun 2021
A Scalable Second Order Method for Ill-Conditioned Matrix Completion from Few Samples C. Kümmerle C. M. Verdun 68 23 0 03 Jun 2021
Entrywise Estimation of Singular Vectors of Low-Rank Matrices with Heteroskedasticity and Dependence Joshua Agterberg Zachary Lubberts Carey Priebe 99 21 0 27 May 2021
Scaling and Scalability: Provable Nonconvex Low-Rank Tensor Estimation from Incomplete Measurements Tian Tong Cong Ma Ashley Prater-Bennette Erin E. Tripp Yuejie Chi 108 33 0 29 Apr 2021
Low-rank Tensor Estimation via Riemannian Gauss-Newton: Statistical Optimality and Second-Order Convergence Yuetian Luo Anru R. Zhang 157 20 0 24 Apr 2021
On the Local Linear Rate of Consensus on the Stiefel Manifold Shixiang Chen Alfredo García Mingyi Hong Shahin Shahrampour 61 14 0 22 Jan 2021
Stochastic Approximation for Online Tensorial Independent Component Analysis C. J. Li Michael I. Jordan 59 2 0 28 Dec 2020
Spectral Methods for Data Science: A Statistical Perspective Yuxin Chen Yuejie Chi Jianqing Fan Cong Ma 153 173 0 15 Dec 2020
Recursive Importance Sketching for Rank Constrained Least Squares: Algorithms and High-order Convergence Yuetian Luo Wen Huang Xudong Li Anru R. Zhang 76 16 0 17 Nov 2020
Low-Rank Matrix Recovery with Scaled Subgradient Methods: Fast and Robust Convergence Without the Condition Number Tian Tong Cong Ma Yuejie Chi 99 56 0 26 Oct 2020
Quickly Finding a Benign Region via Heavy Ball Momentum in Non-Convex Optimization Jun-Kun Wang Jacob D. Abernethy 101 7 0 04 Oct 2020
Low-rank matrix recovery with non-quadratic loss: projected gradient method and regularity projection oracle Lijun Ding Yuqian Zhang Yudong Chen 37 1 0 31 Aug 2020
From Symmetry to Geometry: Tractable Nonconvex Problems Yuqian Zhang Qing Qu John N. Wright 87 45 0 14 Jul 2020
Non-Convex Exact Community Recovery in Stochastic Block Model Peng Wang Zirui Zhou Anthony Man-Cho So 65 9 0 29 Jun 2020
Second-Order Information in Non-Convex Stochastic Optimization: Power and Limitations Yossi Arjevani Y. Carmon John C. Duchi Dylan J. Foster Ayush Sekhari Karthik Sridharan 135 53 0 24 Jun 2020
Non-Convex Structured Phase Retrieval Namrata Vaswani 58 15 0 23 Jun 2020
Good Classifiers are Abundant in the Interpolating Regime Ryan Theisen Jason M. Klusowski Michael W. Mahoney 51 2 0 22 Jun 2020
Uncertainty quantification for nonconvex tensor completion: Confidence intervals, heteroscedasticity and optimality Changxiao Cai H. Vincent Poor Yuxin Chen 118 23 0 15 Jun 2020
Exit Time Analysis for Approximations of Gradient Descent Trajectories Around Saddle Points Rishabh Dixit Mert Gurbuzbalaban W. Bajwa 38 3 0 01 Jun 2020
Breaking the Sample Size Barrier in Model-Based Reinforcement Learning with a Generative Model Gen Li Yuting Wei Yuejie Chi Yuxin Chen 158 131 0 26 May 2020
Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled Gradient Descent Tian Tong Cong Ma Yuejie Chi 104 120 0 18 May 2020
Nonconvex Matrix Completion with Linearly Parameterized Factors Ji Chen Xiaodong Li Zongming Ma 52 3 0 29 Mar 2020
The estimation error of general first order methods Michael Celentano Andrea Montanari Yuchen Wu 71 46 0 28 Feb 2020