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Convergence Analysis for Rectangular Matrix Completion Using
  Burer-Monteiro Factorization and Gradient Descent

Convergence Analysis for Rectangular Matrix Completion Using Burer-Monteiro Factorization and Gradient Descent

23 May 2016
Qinqing Zheng
John D. Lafferty
ArXivPDFHTML

Papers citing "Convergence Analysis for Rectangular Matrix Completion Using Burer-Monteiro Factorization and Gradient Descent"

28 / 28 papers shown
Title
Euclidean Distance Matrix Completion via Asymmetric Projected Gradient Descent
Euclidean Distance Matrix Completion via Asymmetric Projected Gradient Descent
Yicheng Li
Xinghua Sun
39
0
0
28 Apr 2025
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
Namrata Vaswani
39
0
0
20 Apr 2025
Matrix Completion with Graph Information: A Provable Nonconvex Optimization Approach
Matrix Completion with Graph Information: A Provable Nonconvex Optimization Approach
Yao Wang
Yiyang Yang
Kaidong Wang
Shanxing Gao
Xiuwu Liao
63
0
0
12 Feb 2025
Leave-One-Out Analysis for Nonconvex Robust Matrix Completion with General Thresholding Functions
Leave-One-Out Analysis for Nonconvex Robust Matrix Completion with General Thresholding Functions
Tianming Wang
Ke Wei
33
1
0
28 Jul 2024
Compressible Dynamics in Deep Overparameterized Low-Rank Learning &
  Adaptation
Compressible Dynamics in Deep Overparameterized Low-Rank Learning & Adaptation
Can Yaras
Peng Wang
Laura Balzano
Qing Qu
AI4CE
37
12
0
06 Jun 2024
Provably Accelerating Ill-Conditioned Low-rank Estimation via Scaled
  Gradient Descent, Even with Overparameterization
Provably Accelerating Ill-Conditioned Low-rank Estimation via Scaled Gradient Descent, Even with Overparameterization
Cong Ma
Xingyu Xu
Tian Tong
Yuejie Chi
18
9
0
09 Oct 2023
Convergence of Alternating Gradient Descent for Matrix Factorization
Convergence of Alternating Gradient Descent for Matrix Factorization
R. Ward
T. Kolda
22
6
0
11 May 2023
Accelerating SGD for Highly Ill-Conditioned Huge-Scale Online Matrix
  Completion
Accelerating SGD for Highly Ill-Conditioned Huge-Scale Online Matrix Completion
G. Zhang
Hong-Ming Chiu
Richard Y. Zhang
24
10
0
24 Aug 2022
Optimal tuning-free convex relaxation for noisy matrix completion
Optimal tuning-free convex relaxation for noisy matrix completion
Yuepeng Yang
Cong Ma
28
8
0
12 Jul 2022
Robust Matrix Completion with Heavy-tailed Noise
Robust Matrix Completion with Heavy-tailed Noise
Bingyan Wang
Jianqing Fan
21
4
0
09 Jun 2022
Algorithmic Regularization in Model-free Overparametrized Asymmetric
  Matrix Factorization
Algorithmic Regularization in Model-free Overparametrized Asymmetric Matrix Factorization
Liwei Jiang
Yudong Chen
Lijun Ding
40
26
0
06 Mar 2022
On the Parallel I/O Optimality of Linear Algebra Kernels: Near-Optimal
  Matrix Factorizations
On the Parallel I/O Optimality of Linear Algebra Kernels: Near-Optimal Matrix Factorizations
Grzegorz Kwa'sniewski
Marko Kabić
Tal Ben-Nun
A. Ziogas
Jens Eirik Saethre
...
Timo Schneider
Maciej Besta
Anton Kozhevnikov
J. VandeVondele
Torsten Hoefler
31
15
0
20 Aug 2021
Global Convergence of Gradient Descent for Asymmetric Low-Rank Matrix
  Factorization
Global Convergence of Gradient Descent for Asymmetric Low-Rank Matrix Factorization
Tian-Chun Ye
S. Du
21
46
0
27 Jun 2021
GNMR: A provable one-line algorithm for low rank matrix recovery
GNMR: A provable one-line algorithm for low rank matrix recovery
Pini Zilber
B. Nadler
48
13
0
24 Jun 2021
Noisy Gradient Descent Converges to Flat Minima for Nonconvex Matrix
  Factorization
Noisy Gradient Descent Converges to Flat Minima for Nonconvex Matrix Factorization
Tianyi Liu
Yan Li
S. Wei
Enlu Zhou
T. Zhao
21
13
0
24 Feb 2021
Spectral Methods for Data Science: A Statistical Perspective
Spectral Methods for Data Science: A Statistical Perspective
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
40
165
0
15 Dec 2020
On the Parallel I/O Optimality of Linear Algebra Kernels: Near-Optimal
  LU Factorization
On the Parallel I/O Optimality of Linear Algebra Kernels: Near-Optimal LU Factorization
Grzegorz Kwa'sniewski
Tal Ben-Nun
A. Ziogas
Timo Schneider
Maciej Besta
Torsten Hoefler
22
7
0
12 Oct 2020
Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled
  Gradient Descent
Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled Gradient Descent
Tian Tong
Cong Ma
Yuejie Chi
27
113
0
18 May 2020
Policy Optimization for $\mathcal{H}_2$ Linear Control with
  $\mathcal{H}_\infty$ Robustness Guarantee: Implicit Regularization and Global
  Convergence
Policy Optimization for H2\mathcal{H}_2H2​ Linear Control with H∞\mathcal{H}_\inftyH∞​ Robustness Guarantee: Implicit Regularization and Global Convergence
Kaipeng Zhang
Bin Hu
Tamer Basar
24
119
0
21 Oct 2019
Noisy Matrix Completion: Understanding Statistical Guarantees for Convex
  Relaxation via Nonconvex Optimization
Noisy Matrix Completion: Understanding Statistical Guarantees for Convex Relaxation via Nonconvex Optimization
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
Yuling Yan
17
128
0
20 Feb 2019
Fast and Sample Efficient Inductive Matrix Completion via Multi-Phase
  Procrustes Flow
Fast and Sample Efficient Inductive Matrix Completion via Multi-Phase Procrustes Flow
Xiao Zhang
S. Du
Quanquan Gu
26
24
0
03 Mar 2018
No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified
  Geometric Analysis
No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified Geometric Analysis
Rong Ge
Chi Jin
Yi Zheng
36
433
0
03 Apr 2017
How to Escape Saddle Points Efficiently
How to Escape Saddle Points Efficiently
Chi Jin
Rong Ge
Praneeth Netrapalli
Sham Kakade
Michael I. Jordan
ODL
25
831
0
02 Mar 2017
Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex
  Matrix Factorization
Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex Matrix Factorization
Xingguo Li
Junwei Lu
R. Arora
Jarvis Haupt
Han Liu
Zhaoran Wang
T. Zhao
37
52
0
29 Dec 2016
A Unified Computational and Statistical Framework for Nonconvex Low-Rank
  Matrix Estimation
A Unified Computational and Statistical Framework for Nonconvex Low-Rank Matrix Estimation
Lingxiao Wang
Xiao Zhang
Quanquan Gu
14
80
0
17 Oct 2016
Non-square matrix sensing without spurious local minima via the
  Burer-Monteiro approach
Non-square matrix sensing without spurious local minima via the Burer-Monteiro approach
Dohyung Park
Anastasios Kyrillidis
C. Caramanis
Sujay Sanghavi
17
179
0
12 Sep 2016
Matrix Completion has No Spurious Local Minimum
Matrix Completion has No Spurious Local Minimum
Rong Ge
J. Lee
Tengyu Ma
16
596
0
24 May 2016
Median-Truncated Nonconvex Approach for Phase Retrieval with Outliers
Median-Truncated Nonconvex Approach for Phase Retrieval with Outliers
Huishuai Zhang
Yuejie Chi
Yingbin Liang
19
55
0
11 Mar 2016
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