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Algorithmic Regularization in Model-free Overparametrized Asymmetric
  Matrix Factorization
v1v2 (latest)

Algorithmic Regularization in Model-free Overparametrized Asymmetric Matrix Factorization

SIAM Journal on Mathematics of Data Science (SIMODS), 2022
6 March 2022
Liwei Jiang
Yudong Chen
Lijun Ding
ArXiv (abs)PDFHTMLGithub

Papers citing "Algorithmic Regularization in Model-free Overparametrized Asymmetric Matrix Factorization"

24 / 24 papers shown
Neural Collapse under Gradient Flow on Shallow ReLU Networks for Orthogonally Separable Data
Neural Collapse under Gradient Flow on Shallow ReLU Networks for Orthogonally Separable Data
Hancheng Min
Zhihui Zhu
Rene Vidal
199
1
0
24 Oct 2025
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix FactorizationNeural Information Processing Systems (NeurIPS), 2025
G. Zhang
Salar Fattahi
Richard Y. Zhang
401
46
0
13 Apr 2025
Theoretical Guarantees for Low-Rank Compression of Deep Neural Networks
Theoretical Guarantees for Low-Rank Compression of Deep Neural Networks
Shihao Zhang
Rayan Saab
182
2
0
04 Feb 2025
On the Crucial Role of Initialization for Matrix Factorization
On the Crucial Role of Initialization for Matrix FactorizationInternational Conference on Learning Representations (ICLR), 2024
Bingcong Li
Liang Zhang
Aryan Mokhtari
Niao He
445
12
0
24 Oct 2024
Robust Low-rank Tensor Train Recovery
Robust Low-rank Tensor Train RecoveryIEEE Transactions on Signal Processing (IEEE TSP), 2024
Zhen Qin
Zhihui Zhu
341
3
0
19 Oct 2024
Provable Acceleration of Nesterov's Accelerated Gradient for Rectangular
  Matrix Factorization and Linear Neural Networks
Provable Acceleration of Nesterov's Accelerated Gradient for Rectangular Matrix Factorization and Linear Neural Networks
Zhenghao Xu
Yuqing Wang
T. Zhao
Rachel Ward
Molei Tao
363
2
0
12 Oct 2024
In-depth Analysis of Low-rank Matrix Factorisation in a Federated Setting
In-depth Analysis of Low-rank Matrix Factorisation in a Federated SettingAAAI Conference on Artificial Intelligence (AAAI), 2024
Constantin Philippenko
Kevin Scaman
Laurent Massoulié
FedML
429
3
0
13 Sep 2024
Federated Representation Learning in the Under-Parameterized Regime
Federated Representation Learning in the Under-Parameterized RegimeInternational Conference on Machine Learning (ICML), 2024
Renpu Liu
Cong Shen
Jing Yang
435
13
0
07 Jun 2024
Connectivity Shapes Implicit Regularization in Matrix Factorization Models for Matrix Completion
Connectivity Shapes Implicit Regularization in Matrix Factorization Models for Matrix Completion
Zhiwei Bai
Jiajie Zhao
Yaoyu Zhang
AI4CE
437
3
0
22 May 2024
The Implicit Bias of Heterogeneity towards Invariance: A Study of Multi-Environment Matrix Sensing
The Implicit Bias of Heterogeneity towards Invariance: A Study of Multi-Environment Matrix Sensing
Yang Xu
Yihong Gu
Cong Fang
430
0
0
03 Mar 2024
Guaranteed Nonconvex Factorization Approach for Tensor Train Recovery
Guaranteed Nonconvex Factorization Approach for Tensor Train Recovery
Zhen Qin
M. Wakin
Zhihui Zhu
486
15
0
05 Jan 2024
Efficient Compression of Overparameterized Deep Models through
  Low-Dimensional Learning Dynamics
Efficient Compression of Overparameterized Deep Models through Low-Dimensional Learning Dynamics
Soo Min Kwon
Zekai Zhang
Dogyoon Song
Laura Balzano
Qing Qu
354
4
0
08 Nov 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 InitializationInternational Conference on Learning Representations (ICLR), 2023
Nuoya Xiong
Lijun Ding
Simon S. Du
549
21
0
03 Oct 2023
Implicit Regularization Makes Overparameterized Asymmetric Matrix Sensing Robust to Perturbations
Implicit Regularization Makes Overparameterized Asymmetric Matrix Sensing Robust to Perturbations
J. S. Wind
252
2
0
04 Sep 2023
Gradient descent in matrix factorization: Understanding large
  initialization
Gradient descent in matrix factorization: Understanding large initializationConference on Uncertainty in Artificial Intelligence (UAI), 2023
Hengchao Chen
Xin Chen
Mohamad Elmasri
Qiang Sun
AI4CE
341
2
0
30 May 2023
Fast and Accurate Estimation of Low-Rank Matrices from Noisy
  Measurements via Preconditioned Non-Convex Gradient Descent
Fast and Accurate Estimation of Low-Rank Matrices from Noisy Measurements via Preconditioned Non-Convex Gradient DescentInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Jialun Zhang
Hong-Ming Chiu
Richard Y. Zhang
429
8
0
26 May 2023
Convergence of Alternating Gradient Descent for Matrix Factorization
Convergence of Alternating Gradient Descent for Matrix FactorizationNeural Information Processing Systems (NeurIPS), 2023
R. Ward
T. Kolda
289
12
0
11 May 2023
Saddle-to-Saddle Dynamics in Diagonal Linear Networks
Saddle-to-Saddle Dynamics in Diagonal Linear NetworksNeural Information Processing Systems (NeurIPS), 2023
Scott Pesme
Nicolas Flammarion
536
54
0
02 Apr 2023
Active Self-Supervised Learning: A Few Low-Cost Relationships Are All
  You Need
Active Self-Supervised Learning: A Few Low-Cost Relationships Are All You NeedIEEE International Conference on Computer Vision (ICCV), 2023
Vivien A. Cabannes
Léon Bottou
Yann LeCun
Randall Balestriero
321
14
0
27 Mar 2023
The Power of Preconditioning in Overparameterized Low-Rank Matrix Sensing
The Power of Preconditioning in Overparameterized Low-Rank Matrix SensingInternational Conference on Machine Learning (ICML), 2023
Xingyu Xu
Yandi Shen
Yuejie Chi
Cong Ma
633
49
0
02 Feb 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 SensingInternational Conference on Machine Learning (ICML), 2023
Jikai Jin
Zhiyuan Li
Kaifeng Lyu
S. Du
Jason D. Lee
MLT
355
45
0
27 Jan 2023
A Validation Approach to Over-parameterized Matrix and Image Recovery
A Validation Approach to Over-parameterized Matrix and Image Recovery
Lijun Ding
Zhen Qin
Liwei Jiang
Jinxin Zhou
Zhihui Zhu
485
15
0
21 Sep 2022
Tensor-on-Tensor Regression: Riemannian Optimization,
  Over-parameterization, Statistical-computational Gap, and Their Interplay
Tensor-on-Tensor Regression: Riemannian Optimization, Over-parameterization, Statistical-computational Gap, and Their InterplayAnnals of Statistics (Ann. Stat.), 2022
Yuetian Luo
Anru R. Zhang
371
28
0
17 Jun 2022
Randomly Initialized Alternating Least Squares: Fast Convergence for
  Matrix Sensing
Randomly Initialized Alternating Least Squares: Fast Convergence for Matrix SensingSIAM Journal on Mathematics of Data Science (SIMODS), 2022
Kiryung Lee
Dominik Stöger
251
15
0
25 Apr 2022
1
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