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Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview

Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview

25 September 2018
Yuejie Chi
Yue M. Lu
Yuxin Chen
ArXivPDFHTML

Papers citing "Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview"

50 / 75 papers shown
Title
ALPCAH: Subspace Learning for Sample-wise Heteroscedastic Data
ALPCAH: Subspace Learning for Sample-wise Heteroscedastic Data
Javier Salazar Cavazos
Jeffrey A. Fessler
Laura Balzano
31
2
0
12 May 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
On Speeding Up Language Model Evaluation
On Speeding Up Language Model Evaluation
Jin Peng Zhou
Christian K. Belardi
Ruihan Wu
Travis Zhang
Carla P. Gomes
Wen Sun
Kilian Q. Weinberger
58
1
0
08 Jul 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
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
Discrete Aware Matrix Completion via Convexized $\ell_0$-Norm
  Approximation
Discrete Aware Matrix Completion via Convexized ℓ0\ell_0ℓ0​-Norm Approximation
Niclas Führling
Kengo Ando
Giuseppe Thadeu Freitas de Abreu
David González González
Osvaldo Gonsa
28
1
0
03 May 2024
High Probability Guarantees for Random Reshuffling
High Probability Guarantees for Random Reshuffling
Hengxu Yu
Xiao Li
42
2
0
20 Nov 2023
Matrix Compression via Randomized Low Rank and Low Precision
  Factorization
Matrix Compression via Randomized Low Rank and Low Precision Factorization
R. Saha
Varun Srivastava
Mert Pilanci
26
19
0
17 Oct 2023
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
Gradient-Based Spectral Embeddings of Random Dot Product Graphs
Gradient-Based Spectral Embeddings of Random Dot Product Graphs
Marcelo Fiori
Bernardo Marenco
Federico Larroca
P. Bermolen
Gonzalo Mateos
BDL
27
3
0
25 Jul 2023
A Theoretically Guaranteed Quaternion Weighted Schatten p-norm
  Minimization Method for Color Image Restoration
A Theoretically Guaranteed Quaternion Weighted Schatten p-norm Minimization Method for Color Image Restoration
Qing-Hua Zhang
Liangsheng He
Yiliang Wang
Liang-Jian Deng
Xiaozhong Liu
24
1
0
24 Jul 2023
Nonconvex Stochastic Bregman Proximal Gradient Method with Application to Deep Learning
Nonconvex Stochastic Bregman Proximal Gradient Method with Application to Deep Learning
Kuan-Fu Ding
Jingyang Li
Kim-Chuan Toh
30
8
0
26 Jun 2023
Gradient descent in matrix factorization: Understanding large
  initialization
Gradient descent in matrix factorization: Understanding large initialization
Hengchao Chen
Xin Chen
Mohamad Elmasri
Qiang Sun
AI4CE
31
1
0
30 May 2023
On the Stepwise Nature of Self-Supervised Learning
On the Stepwise Nature of Self-Supervised Learning
James B. Simon
Maksis Knutins
Liu Ziyin
Daniel Geisz
Abraham J. Fetterman
Joshua Albrecht
SSL
37
30
0
27 Mar 2023
Approximate message passing from random initialization with applications
  to $\mathbb{Z}_{2}$ synchronization
Approximate message passing from random initialization with applications to Z2\mathbb{Z}_{2}Z2​ synchronization
Gen Li
Wei Fan
Yuting Wei
26
10
0
07 Feb 2023
The SSL Interplay: Augmentations, Inductive Bias, and Generalization
The SSL Interplay: Augmentations, Inductive Bias, and Generalization
Vivien A. Cabannes
B. Kiani
Randall Balestriero
Yann LeCun
A. Bietti
SSL
19
31
0
06 Feb 2023
A Newton-CG based barrier-augmented Lagrangian method for general
  nonconvex conic optimization
A Newton-CG based barrier-augmented Lagrangian method for general nonconvex conic optimization
Chuan He
Heng Huang
Zhaosong Lu
16
1
0
10 Jan 2023
Learning Transition Operators From Sparse Space-Time Samples
Learning Transition Operators From Sparse Space-Time Samples
C. Kümmerle
Mauro Maggioni
Sui Tang
26
1
0
01 Dec 2022
Perturbation Analysis of Neural Collapse
Perturbation Analysis of Neural Collapse
Tom Tirer
Haoxiang Huang
Jonathan Niles-Weed
AAML
35
23
0
29 Oct 2022
Bures-Wasserstein Barycenters and Low-Rank Matrix Recovery
Bures-Wasserstein Barycenters and Low-Rank Matrix Recovery
Tyler Maunu
Thibaut Le Gouic
Philippe Rigollet
20
5
0
26 Oct 2022
Are All Losses Created Equal: A Neural Collapse Perspective
Are All Losses Created Equal: A Neural Collapse Perspective
Jinxin Zhou
Chong You
Xiao Li
Kangning Liu
Sheng Liu
Qing Qu
Zhihui Zhu
36
58
0
04 Oct 2022
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
48
13
0
21 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
Quantum Neural Network Compression
Quantum Neural Network Compression
Zhirui Hu
Peiyan Dong
Zhepeng Wang
Youzuo Lin
Yanzhi Wang
Weiwen Jiang
GNN
25
28
0
04 Jul 2022
Variational Bayesian inference for CP tensor completion with side
  information
Variational Bayesian inference for CP tensor completion with side information
S. Budzinskiy
N. Zamarashkin
11
1
0
24 Jun 2022
Understanding the Generalization Benefit of Normalization Layers:
  Sharpness Reduction
Understanding the Generalization Benefit of Normalization Layers: Sharpness Reduction
Kaifeng Lyu
Zhiyuan Li
Sanjeev Arora
FAtt
40
69
0
14 Jun 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
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
Minimax Optimal Clustering of Bipartite Graphs with a Generalized Power
  Method
Minimax Optimal Clustering of Bipartite Graphs with a Generalized Power Method
Guillaume Braun
Hemant Tyagi
25
5
0
24 May 2022
Randomly Initialized Alternating Least Squares: Fast Convergence for
  Matrix Sensing
Randomly Initialized Alternating Least Squares: Fast Convergence for Matrix Sensing
Kiryung Lee
Dominik Stöger
31
11
0
25 Apr 2022
Signal Recovery with Non-Expansive Generative Network Priors
Signal Recovery with Non-Expansive Generative Network Priors
Jorio Cocola
21
1
0
24 Apr 2022
Seeded graph matching for the correlated Gaussian Wigner model via the
  projected power method
Seeded graph matching for the correlated Gaussian Wigner model via the projected power method
E. Araya
Guillaume Braun
Hemant Tyagi
85
4
0
08 Apr 2022
Local Stochastic Factored Gradient Descent for Distributed Quantum State
  Tomography
Local Stochastic Factored Gradient Descent for Distributed Quantum State Tomography
J. Kim
Taha Toghani
César A. Uribe
Anastasios Kyrillidis
32
3
0
22 Mar 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 Optimization Landscape of Neural Collapse under MSE Loss: Global
  Optimality with Unconstrained Features
On the Optimization Landscape of Neural Collapse under MSE Loss: Global Optimality with Unconstrained Features
Jinxin Zhou
Xiao Li
Tian Ding
Chong You
Qing Qu
Zhihui Zhu
27
97
0
02 Mar 2022
Robust Training under Label Noise by Over-parameterization
Robust Training under Label Noise by Over-parameterization
Sheng Liu
Zhihui Zhu
Qing Qu
Chong You
NoLa
OOD
27
106
0
28 Feb 2022
Multiway Spherical Clustering via Degree-Corrected Tensor Block Models
Multiway Spherical Clustering via Degree-Corrected Tensor Block Models
Jiaxin Hu
Miaoyan Wang
23
4
0
19 Jan 2022
Over-Parametrized Matrix Factorization in the Presence of Spurious
  Stationary Points
Over-Parametrized Matrix Factorization in the Presence of Spurious Stationary Points
Armin Eftekhari
24
1
0
25 Dec 2021
Edge Artificial Intelligence for 6G: Vision, Enabling Technologies, and
  Applications
Edge Artificial Intelligence for 6G: Vision, Enabling Technologies, and Applications
Khaled B. Letaief
Yuanming Shi
Jianmin Lu
Jianhua Lu
37
416
0
24 Nov 2021
Subquadratic Overparameterization for Shallow Neural Networks
Subquadratic Overparameterization for Shallow Neural Networks
Chaehwan Song
Ali Ramezani-Kebrya
Thomas Pethick
Armin Eftekhari
V. Cevher
27
31
0
02 Nov 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
Sharp Restricted Isometry Property Bounds for Low-rank Matrix Recovery
  Problems with Corrupted Measurements
Sharp Restricted Isometry Property Bounds for Low-rank Matrix Recovery Problems with Corrupted Measurements
Ziye Ma
Yingjie Bi
Javad Lavaei
Somayeh Sojoudi
23
14
0
18 May 2021
A Geometric Analysis of Neural Collapse with Unconstrained Features
A Geometric Analysis of Neural Collapse with Unconstrained Features
Zhihui Zhu
Tianyu Ding
Jinxin Zhou
Xiao Li
Chong You
Jeremias Sulam
Qing Qu
27
194
0
06 May 2021
Initialization and Regularization of Factorized Neural Layers
Initialization and Regularization of Factorized Neural Layers
M. Khodak
Neil A. Tenenholtz
Lester W. Mackey
Nicolò Fusi
65
56
0
03 May 2021
Efficient Sparse Coding using Hierarchical Riemannian Pursuit
Efficient Sparse Coding using Hierarchical Riemannian Pursuit
Ye Xue
Vincent K. N. Lau
Songfu Cai
28
3
0
21 Apr 2021
Sharp Global Guarantees for Nonconvex Low-rank Recovery in the Noisy Overparameterized Regime
Sharp Global Guarantees for Nonconvex Low-rank Recovery in the Noisy Overparameterized Regime
Richard Y. Zhang
44
25
0
21 Apr 2021
Group-Sparse Matrix Factorization for Transfer Learning of Word
  Embeddings
Group-Sparse Matrix Factorization for Transfer Learning of Word Embeddings
Kan Xu
Xuanyi Zhao
Hamsa Bastani
Osbert Bastani
33
6
0
18 Apr 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
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