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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"

22 / 22 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
40
34
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
60
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
37
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
89
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
42
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
43
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
26
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
57
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
32
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
16
9
0
09 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
38
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
36
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
17
6
0
29 Sep 2022
Optimal tuning-free convex relaxation for noisy matrix completion
Optimal tuning-free convex relaxation for noisy matrix completion
Yuepeng Yang
Cong Ma
24
8
0
12 Jul 2022
Supervised Dictionary Learning with Auxiliary Covariates
Supervised Dictionary Learning with Auxiliary Covariates
Joo-Hyun Lee
Hanbaek Lyu
W. Yao
16
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
40
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
25
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
23
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
40
13
0
24 Jun 2021
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
19
15
0
17 Nov 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
11
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
16
26
0
25 Nov 2019
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