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Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex
  Matrix Factorization
v1v2v3 (latest)

Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex Matrix Factorization

29 December 2016
Xingguo Li
Junwei Lu
R. Arora
Jarvis Haupt
Han Liu
Zhaoran Wang
T. Zhao
ArXiv (abs)PDFHTML

Papers citing "Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex Matrix Factorization"

24 / 24 papers shown
Title
Error bound of critical points and KL property of exponent $1/2$ for
  squared F-norm regularized factorization
Error bound of critical points and KL property of exponent 1/21/21/2 for squared F-norm regularized factorizationJournal of Global Optimization (J. Glob. Optim.), 2019
Ting Tao
S. Pan
Shujun Bi
129
7
0
11 Nov 2019
On the Sample Complexity of Actor-Critic Method for Reinforcement
  Learning with Function Approximation
On the Sample Complexity of Actor-Critic Method for Reinforcement Learning with Function ApproximationMachine-mediated learning (ML), 2019
Harshat Kumar
Alec Koppel
Alejandro Ribeiro
301
95
0
18 Oct 2019
KL property of exponent $1/2$ of $\ell_{2,0}$-norm and DC regularized
  factorizations for low-rank matrix recovery
KL property of exponent 1/21/21/2 of ℓ2,0\ell_{2,0}ℓ2,0​-norm and DC regularized factorizations for low-rank matrix recovery
Shujun Bi
Ting Tao
S. Pan
117
2
0
24 Aug 2019
Online Convex Matrix Factorization with Representative Regions
Online Convex Matrix Factorization with Representative Regions
Abhishek Agarwal
Jianhao Peng
O. Milenkovic
318
2
0
04 Apr 2019
NOODL: Provable Online Dictionary Learning and Sparse Coding
NOODL: Provable Online Dictionary Learning and Sparse CodingInternational Conference on Learning Representations (ICLR), 2019
Sirisha Rambhatla
Xingguo Li
Jarvis Haupt
220
19
0
28 Feb 2019
On the Global Convergence of Imitation Learning: A Case for Linear
  Quadratic Regulator
On the Global Convergence of Imitation Learning: A Case for Linear Quadratic Regulator
Qi Cai
Mingyi Hong
Yongxin Chen
Zhaoran Wang
244
35
0
11 Jan 2019
Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview
Nonconvex Optimization Meets Low-Rank Matrix Factorization: An OverviewIEEE Transactions on Signal Processing (IEEE Trans. Signal Process.), 2018
Yuejie Chi
Yue M. Lu
Yuxin Chen
365
451
0
25 Sep 2018
On Landscape of Lagrangian Functions and Stochastic Search for
  Constrained Nonconvex Optimization
On Landscape of Lagrangian Functions and Stochastic Search for Constrained Nonconvex Optimization
Zhehui Chen
Xingguo Li
Lin F. Yang
Jarvis Haupt
T. Zhao
131
4
0
13 Jun 2018
Towards Understanding Acceleration Tradeoff between Momentum and
  Asynchrony in Nonconvex Stochastic Optimization
Towards Understanding Acceleration Tradeoff between Momentum and Asynchrony in Nonconvex Stochastic Optimization
Tianyi Liu
Shiyang Li
Jianping Shi
Enlu Zhou
T. Zhao
224
9
0
04 Jun 2018
Simple and practical algorithms for $\ell_p$-norm low-rank approximation
Simple and practical algorithms for ℓp\ell_pℓp​-norm low-rank approximation
Anastasios Kyrillidis
180
5
0
24 May 2018
Improved Learning of One-hidden-layer Convolutional Neural Networks with
  Overlaps
Improved Learning of One-hidden-layer Convolutional Neural Networks with Overlaps
S. Du
Surbhi Goel
MLT
180
17
0
20 May 2018
The Global Optimization Geometry of Shallow Linear Neural Networks
The Global Optimization Geometry of Shallow Linear Neural Networks
Zhihui Zhu
Daniel Soudry
Yonina C. Eldar
M. Wakin
ODL
195
38
0
13 May 2018
Dimensionality Reduction for Stationary Time Series via Stochastic
  Nonconvex Optimization
Dimensionality Reduction for Stationary Time Series via Stochastic Nonconvex Optimization
Minshuo Chen
Ling Yang
Mengdi Wang
T. Zhao
196
11
0
06 Mar 2018
Harnessing Structures in Big Data via Guaranteed Low-Rank Matrix
  Estimation
Harnessing Structures in Big Data via Guaranteed Low-Rank Matrix Estimation
Yudong Chen
Yuejie Chi
302
176
0
23 Feb 2018
A Diffusion Approximation Theory of Momentum SGD in Nonconvex
  Optimization
A Diffusion Approximation Theory of Momentum SGD in Nonconvex Optimization
Tianyi Liu
Zhehui Chen
Enlu Zhou
T. Zhao
188
14
0
14 Feb 2018
Gradient Descent Learns One-hidden-layer CNN: Don't be Afraid of
  Spurious Local Minima
Gradient Descent Learns One-hidden-layer CNN: Don't be Afraid of Spurious Local Minima
S. Du
Jason D. Lee
Yuandong Tian
Barnabás Póczós
Aarti Singh
MLT
356
240
0
03 Dec 2017
Implicit Regularization in Nonconvex Statistical Estimation: Gradient
  Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind
  Deconvolution
Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution
Cong Ma
Kaizheng Wang
Yuejie Chi
Yuxin Chen
250
253
0
28 Nov 2017
Deep Hyperspherical Learning
Deep Hyperspherical Learning
Weiyang Liu
Yanming Zhang
Xingguo Li
Zhen Liu
Bo Dai
T. Zhao
Le Song
246
145
0
08 Nov 2017
Model-free Nonconvex Matrix Completion: Local Minima Analysis and
  Applications in Memory-efficient Kernel PCA
Model-free Nonconvex Matrix Completion: Local Minima Analysis and Applications in Memory-efficient Kernel PCA
Ji Chen
Xiaodong Li
195
28
0
06 Nov 2017
Nonconvex Low-Rank Matrix Recovery with Arbitrary Outliers via
  Median-Truncated Gradient Descent
Nonconvex Low-Rank Matrix Recovery with Arbitrary Outliers via Median-Truncated Gradient Descent
Yuanxin Li
Yuejie Chi
Huishuai Zhang
Yingbin Liang
212
30
0
23 Sep 2017
Gradient Descent Can Take Exponential Time to Escape Saddle Points
Gradient Descent Can Take Exponential Time to Escape Saddle PointsNeural Information Processing Systems (NeurIPS), 2017
S. Du
Chi Jin
Jason D. Lee
Sai Li
Barnabás Póczós
Aarti Singh
200
252
0
29 May 2017
Geometry of Factored Nuclear Norm Regularization
Geometry of Factored Nuclear Norm Regularization
Qiuwei Li
Zhihui Zhu
Gongguo Tang
98
24
0
05 Apr 2017
Robust Kronecker-Decomposable Component Analysis for Low-Rank Modeling
Robust Kronecker-Decomposable Component Analysis for Low-Rank Modeling
Mehdi Bahri
Yannis Panagakis
Stefanos Zafeiriou
144
14
0
22 Mar 2017
Median-Truncated Nonconvex Approach for Phase Retrieval with Outliers
Median-Truncated Nonconvex Approach for Phase Retrieval with Outliers
Huishuai Zhang
Yuejie Chi
Yingbin Liang
231
57
0
11 Mar 2016
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