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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"

25 / 75 papers shown
Title
HePPCAT: Probabilistic PCA for Data with Heteroscedastic Noise
HePPCAT: Probabilistic PCA for Data with Heteroscedastic Noise
David Hong
Kyle Gilman
Laura Balzano
Jeffrey A. Fessler
40
19
0
10 Jan 2021
The Nonconvex Geometry of Linear Inverse Problems
The Nonconvex Geometry of Linear Inverse Problems
Armin Eftekhari
Peyman Mohajerin Esfahani
20
1
0
07 Jan 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
Shape Matters: Understanding the Implicit Bias of the Noise Covariance
Shape Matters: Understanding the Implicit Bias of the Noise Covariance
Jeff Z. HaoChen
Colin Wei
J. Lee
Tengyu Ma
29
93
0
15 Jun 2020
An Analysis of Constant Step Size SGD in the Non-convex Regime:
  Asymptotic Normality and Bias
An Analysis of Constant Step Size SGD in the Non-convex Regime: Asymptotic Normality and Bias
Lu Yu
Krishnakumar Balasubramanian
S. Volgushev
Murat A. Erdogdu
35
50
0
14 Jun 2020
Adversarial Classification via Distributional Robustness with
  Wasserstein Ambiguity
Adversarial Classification via Distributional Robustness with Wasserstein Ambiguity
Nam Ho-Nguyen
Stephen J. Wright
OOD
45
16
0
28 May 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
Implicit Regularization in Deep Learning May Not Be Explainable by Norms
Implicit Regularization in Deep Learning May Not Be Explainable by Norms
Noam Razin
Nadav Cohen
24
155
0
13 May 2020
An Optimal Statistical and Computational Framework for Generalized
  Tensor Estimation
An Optimal Statistical and Computational Framework for Generalized Tensor Estimation
Rungang Han
Rebecca Willett
Anru R. Zhang
27
65
0
26 Feb 2020
Depth Descent Synchronization in $\mathrm{SO}(D)$
Depth Descent Synchronization in SO(D)\mathrm{SO}(D)SO(D)
Tyler Maunu
Gilad Lerman
MDE
34
2
0
13 Feb 2020
Rank $2r$ iterative least squares: efficient recovery of ill-conditioned
  low rank matrices from few entries
Rank 2r2r2r iterative least squares: efficient recovery of ill-conditioned low rank matrices from few entries
Jonathan Bauch
B. Nadler
Pini Zilber
37
14
0
05 Feb 2020
Optimization for deep learning: theory and algorithms
Optimization for deep learning: theory and algorithms
Ruoyu Sun
ODL
19
168
0
19 Dec 2019
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
30
26
0
25 Nov 2019
High-dimensional principal component analysis with heterogeneous
  missingness
High-dimensional principal component analysis with heterogeneous missingness
Ziwei Zhu
Tengyao Wang
R. Samworth
39
47
0
28 Jun 2019
Implicit Regularization in Deep Matrix Factorization
Implicit Regularization in Deep Matrix Factorization
Sanjeev Arora
Nadav Cohen
Wei Hu
Yuping Luo
AI4CE
29
491
0
31 May 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
Subgradient Descent Learns Orthogonal Dictionaries
Subgradient Descent Learns Orthogonal Dictionaries
Yu Bai
Qijia Jiang
Ju Sun
17
51
0
25 Oct 2018
A Survey on Nonconvex Regularization Based Sparse and Low-Rank Recovery
  in Signal Processing, Statistics, and Machine Learning
A Survey on Nonconvex Regularization Based Sparse and Low-Rank Recovery in Signal Processing, Statistics, and Machine Learning
Fei Wen
L. Chu
Peilin Liu
Robert C. Qiu
23
153
0
16 Aug 2018
Robust high dimensional factor models with applications to statistical
  machine learning
Robust high dimensional factor models with applications to statistical machine learning
Jianqing Fan
Kaizheng Wang
Yiqiao Zhong
Ziwei Zhu
32
53
0
12 Aug 2018
A modern maximum-likelihood theory for high-dimensional logistic
  regression
A modern maximum-likelihood theory for high-dimensional logistic regression
Pragya Sur
Emmanuel J. Candes
23
285
0
19 Mar 2018
Learning Latent Features with Pairwise Penalties in Low-Rank Matrix
  Completion
Learning Latent Features with Pairwise Penalties in Low-Rank Matrix Completion
Kaiyi Ji
Jian Tan
Jinfeng Xu
Yuejie Chi
25
3
0
16 Feb 2018
The Projected Power Method: An Efficient Algorithm for Joint Alignment
  from Pairwise Differences
The Projected Power Method: An Efficient Algorithm for Joint Alignment from Pairwise Differences
Yuxin Chen
Emmanuel Candes
37
92
0
19 Sep 2016
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