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Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled
  Gradient Descent

Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled Gradient Descent

18 May 2020
Tian Tong
Cong Ma
Yuejie Chi
ArXivPDFHTML

Papers citing "Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled Gradient Descent"

26 / 26 papers shown
Title
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
G. Zhang
S. Fattahi
Richard Y. Zhang
45
36
0
13 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
Learnable Scaled Gradient Descent for Guaranteed Robust Tensor PCA
Learnable Scaled Gradient Descent for Guaranteed Robust Tensor PCA
Lanlan Feng
Ce Zhu
Yipeng Liu
Saiprasad Ravishankar
Longxiu Huang
39
0
0
20 Jan 2025
Structured Sampling for Robust Euclidean Distance Geometry
Structured Sampling for Robust Euclidean Distance Geometry
Chandra Kundu
Abiy Tasissa
HanQin Cai
94
0
0
14 Dec 2024
Collaborative and Efficient Personalization with Mixtures of Adaptors
Collaborative and Efficient Personalization with Mixtures of Adaptors
Abdulla Jasem Almansoori
Samuel Horváth
Martin Takáč
FedML
44
2
0
04 Oct 2024
OATS: Outlier-Aware Pruning Through Sparse and Low Rank Decomposition
OATS: Outlier-Aware Pruning Through Sparse and Low Rank Decomposition
Stephen Zhang
V. Papyan
VLM
51
1
0
20 Sep 2024
Efficient Low-rank Identification via Accelerated Iteratively Reweighted
  Nuclear Norm Minimization
Efficient Low-rank Identification via Accelerated Iteratively Reweighted Nuclear Norm Minimization
Hao Wang
Ye Wang
Xiangyu Yang
34
0
0
22 Jun 2024
Computational and Statistical Guarantees for Tensor-on-Tensor Regression with Tensor Train Decomposition
Computational and Statistical Guarantees for Tensor-on-Tensor Regression with Tensor Train Decomposition
Zhen Qin
Zhihui Zhu
74
4
0
10 Jun 2024
On the Robustness of Cross-Concentrated Sampling for Matrix Completion
On the Robustness of Cross-Concentrated Sampling for Matrix Completion
HanQin Cai
Longxiu Huang
Chandra Kundu
Bowen Su
37
4
0
28 Jan 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
How Over-Parameterization Slows Down Gradient Descent in Matrix Sensing:
  The Curses of Symmetry and Initialization
How Over-Parameterization Slows Down Gradient Descent in Matrix Sensing: The Curses of Symmetry and Initialization
Nuoya Xiong
Lijun Ding
Simon S. Du
35
11
0
03 Oct 2023
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in
  heteroskedastic PCA
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in heteroskedastic PCA
Yuchen Zhou
Yuxin Chen
40
4
0
10 Mar 2023
Understanding Incremental Learning of Gradient Descent: A Fine-grained
  Analysis of Matrix Sensing
Understanding Incremental Learning of Gradient Descent: A Fine-grained Analysis of Matrix Sensing
Jikai Jin
Zhiyuan Li
Kaifeng Lyu
S. Du
Jason D. Lee
MLT
54
34
0
27 Jan 2023
Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape
  Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective
Nonconvex Matrix Factorization is Geodesically Convex: Global Landscape Analysis for Fixed-rank Matrix Optimization From a Riemannian Perspective
Yuetian Luo
Nicolas García Trillos
24
6
0
29 Sep 2022
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
Supervised Dictionary Learning with Auxiliary Covariates
Supervised Dictionary Learning with Auxiliary Covariates
Joo-Hyun Lee
Hanbaek Lyu
W. Yao
27
1
0
14 Jun 2022
Preconditioned Gradient Descent for Overparameterized Nonconvex Burer--Monteiro Factorization with Global Optimality Certification
Preconditioned Gradient Descent for Overparameterized Nonconvex Burer--Monteiro Factorization with Global Optimality Certification
G. Zhang
S. Fattahi
Richard Y. Zhang
50
23
0
07 Jun 2022
Learned Robust PCA: A Scalable Deep Unfolding Approach for
  High-Dimensional Outlier Detection
Learned Robust PCA: A Scalable Deep Unfolding Approach for High-Dimensional Outlier Detection
HanQin Cai
Jialin Liu
W. Yin
35
39
0
11 Oct 2021
Nonconvex Factorization and Manifold Formulations are Almost Equivalent
  in Low-rank Matrix Optimization
Nonconvex Factorization and Manifold Formulations are Almost Equivalent in Low-rank Matrix Optimization
Yuetian Luo
Xudong Li
Anru R. Zhang
27
9
0
03 Aug 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
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
Recursive Importance Sketching for Rank Constrained Least Squares:
  Algorithms and High-order Convergence
Recursive Importance Sketching for Rank Constrained Least Squares: Algorithms and High-order Convergence
Yuetian Luo
Wen Huang
Xudong Li
Anru R. Zhang
23
15
0
17 Nov 2020
Low-Rank Matrix Recovery with Scaled Subgradient Methods: Fast and
  Robust Convergence Without the Condition Number
Low-Rank Matrix Recovery with Scaled Subgradient Methods: Fast and Robust Convergence Without the Condition Number
Tian Tong
Cong Ma
Yuejie Chi
16
55
0
26 Oct 2020
Escaping Saddle Points in Ill-Conditioned Matrix Completion with a
  Scalable Second Order Method
Escaping Saddle Points in Ill-Conditioned Matrix Completion with a Scalable Second Order Method
C. Kümmerle
C. M. Verdun
19
6
0
07 Sep 2020
Manifold Gradient Descent Solves Multi-Channel Sparse Blind
  Deconvolution Provably and Efficiently
Manifold Gradient Descent Solves Multi-Channel Sparse Blind Deconvolution Provably and Efficiently
Laixi Shi
Yuejie Chi
27
26
0
25 Nov 2019
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