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Escaping From Saddle Points --- Online Stochastic Gradient for Tensor
  Decomposition

Escaping From Saddle Points --- Online Stochastic Gradient for Tensor Decomposition

6 March 2015
Rong Ge
Furong Huang
Chi Jin
Yang Yuan
ArXivPDFHTML

Papers citing "Escaping From Saddle Points --- Online Stochastic Gradient for Tensor Decomposition"

50 / 211 papers shown
Title
On the Implicit Bias of Dropout
On the Implicit Bias of Dropout
Poorya Mianjy
R. Arora
René Vidal
27
66
0
26 Jun 2018
Stochastic Nested Variance Reduction for Nonconvex Optimization
Stochastic Nested Variance Reduction for Nonconvex Optimization
Dongruo Zhou
Pan Xu
Quanquan Gu
25
146
0
20 Jun 2018
Learning One-hidden-layer ReLU Networks via Gradient Descent
Learning One-hidden-layer ReLU Networks via Gradient Descent
Xiao Zhang
Yaodong Yu
Lingxiao Wang
Quanquan Gu
MLT
28
134
0
20 Jun 2018
Defending Against Saddle Point Attack in Byzantine-Robust Distributed
  Learning
Defending Against Saddle Point Attack in Byzantine-Robust Distributed Learning
Dong Yin
Yudong Chen
Kannan Ramchandran
Peter L. Bartlett
FedML
32
97
0
14 Jun 2018
Deep Neural Networks with Multi-Branch Architectures Are Less Non-Convex
Deep Neural Networks with Multi-Branch Architectures Are Less Non-Convex
Hongyang R. Zhang
Junru Shao
Ruslan Salakhutdinov
39
14
0
06 Jun 2018
An end-to-end Differentially Private Latent Dirichlet Allocation Using a
  Spectral Algorithm
An end-to-end Differentially Private Latent Dirichlet Allocation Using a Spectral Algorithm
Christopher DeCarolis
Mukul Ram
Seyed-Alireza Esmaeili
Yu-Xiang Wang
Furong Huang
FedML
11
12
0
25 May 2018
Faster Neural Network Training with Approximate Tensor Operations
Faster Neural Network Training with Approximate Tensor Operations
Menachem Adelman
Kfir Y. Levy
Ido Hakimi
M. Silberstein
29
26
0
21 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
30
17
0
20 May 2018
End-to-end Learning of a Convolutional Neural Network via Deep Tensor
  Decomposition
End-to-end Learning of a Convolutional Neural Network via Deep Tensor Decomposition
Samet Oymak
Mahdi Soltanolkotabi
21
12
0
16 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
18
36
0
13 May 2018
On Gradient-Based Learning in Continuous Games
On Gradient-Based Learning in Continuous Games
Eric Mazumdar
Lillian J. Ratliff
S. Shankar Sastry
16
134
0
16 Apr 2018
Escaping Saddles with Stochastic Gradients
Escaping Saddles with Stochastic Gradients
Hadi Daneshmand
Jonas Köhler
Aurelien Lucchi
Thomas Hofmann
24
161
0
15 Mar 2018
Fast and Sample Efficient Inductive Matrix Completion via Multi-Phase
  Procrustes Flow
Fast and Sample Efficient Inductive Matrix Completion via Multi-Phase Procrustes Flow
Xiao Zhang
S. Du
Quanquan Gu
26
24
0
03 Mar 2018
Smoothed analysis for low-rank solutions to semidefinite programs in
  quadratic penalty form
Smoothed analysis for low-rank solutions to semidefinite programs in quadratic penalty form
Srinadh Bhojanapalli
Nicolas Boumal
Prateek Jain
Praneeth Netrapalli
29
42
0
01 Mar 2018
Stochastic Variance-Reduced Cubic Regularization for Nonconvex
  Optimization
Stochastic Variance-Reduced Cubic Regularization for Nonconvex Optimization
Zhe Wang
Yi Zhou
Yingbin Liang
Guanghui Lan
35
46
0
20 Feb 2018
Global Convergence of Policy Gradient Methods for the Linear Quadratic
  Regulator
Global Convergence of Policy Gradient Methods for the Linear Quadratic Regulator
Maryam Fazel
Rong Ge
Sham Kakade
M. Mesbahi
35
598
0
15 Jan 2018
Generalization Error Bounds for Noisy, Iterative Algorithms
Generalization Error Bounds for Noisy, Iterative Algorithms
Ankit Pensia
Varun Jog
Po-Ling Loh
29
109
0
12 Jan 2018
Spurious Local Minima are Common in Two-Layer ReLU Neural Networks
Spurious Local Minima are Common in Two-Layer ReLU Neural Networks
Itay Safran
Ohad Shamir
40
261
0
24 Dec 2017
Non-convex Optimization for Machine Learning
Non-convex Optimization for Machine Learning
Prateek Jain
Purushottam Kar
33
479
0
21 Dec 2017
Accelerated Gradient Descent Escapes Saddle Points Faster than Gradient
  Descent
Accelerated Gradient Descent Escapes Saddle Points Faster than Gradient Descent
Chi Jin
Praneeth Netrapalli
Michael I. Jordan
ODL
37
261
0
28 Nov 2017
Neon2: Finding Local Minima via First-Order Oracles
Neon2: Finding Local Minima via First-Order Oracles
Zeyuan Allen-Zhu
Yuanzhi Li
21
130
0
17 Nov 2017
On Noisy Negative Curvature Descent: Competing with Gradient Descent for
  Faster Non-convex Optimization
On Noisy Negative Curvature Descent: Competing with Gradient Descent for Faster Non-convex Optimization
Mingrui Liu
Tianbao Yang
33
23
0
25 Sep 2017
SpectralLeader: Online Spectral Learning for Single Topic Models
SpectralLeader: Online Spectral Learning for Single Topic Models
Tong Yu
B. Kveton
Zheng Wen
Hung Bui
Ole J. Mengshoel
BDL
19
0
0
21 Sep 2017
Natasha 2: Faster Non-Convex Optimization Than SGD
Natasha 2: Faster Non-Convex Optimization Than SGD
Zeyuan Allen-Zhu
ODL
28
245
0
29 Aug 2017
Global Convergence of Langevin Dynamics Based Algorithms for Nonconvex
  Optimization
Global Convergence of Langevin Dynamics Based Algorithms for Nonconvex Optimization
Pan Xu
Jinghui Chen
Difan Zou
Quanquan Gu
31
200
0
20 Jul 2017
Theoretical insights into the optimization landscape of
  over-parameterized shallow neural networks
Theoretical insights into the optimization landscape of over-parameterized shallow neural networks
Mahdi Soltanolkotabi
Adel Javanmard
J. Lee
36
415
0
16 Jul 2017
A Well-Tempered Landscape for Non-convex Robust Subspace Recovery
A Well-Tempered Landscape for Non-convex Robust Subspace Recovery
Tyler Maunu
Teng Zhang
Gilad Lerman
24
63
0
13 Jun 2017
Are Saddles Good Enough for Deep Learning?
Are Saddles Good Enough for Deep Learning?
Adepu Ravi Sankar
V. Balasubramanian
35
5
0
07 Jun 2017
Train longer, generalize better: closing the generalization gap in large
  batch training of neural networks
Train longer, generalize better: closing the generalization gap in large batch training of neural networks
Elad Hoffer
Itay Hubara
Daniel Soudry
ODL
41
792
0
24 May 2017
Sub-sampled Cubic Regularization for Non-convex Optimization
Sub-sampled Cubic Regularization for Non-convex Optimization
Jonas Köhler
Aurelien Lucchi
19
164
0
16 May 2017
On the Gap Between Strict-Saddles and True Convexity: An Omega(log d)
  Lower Bound for Eigenvector Approximation
On the Gap Between Strict-Saddles and True Convexity: An Omega(log d) Lower Bound for Eigenvector Approximation
Max Simchowitz
A. Alaoui
Benjamin Recht
18
13
0
14 Apr 2017
No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified
  Geometric Analysis
No Spurious Local Minima in Nonconvex Low Rank Problems: A Unified Geometric Analysis
Rong Ge
Chi Jin
Yi Zheng
41
433
0
03 Apr 2017
Data-Dependent Stability of Stochastic Gradient Descent
Data-Dependent Stability of Stochastic Gradient Descent
Ilja Kuzborskij
Christoph H. Lampert
MLT
9
165
0
05 Mar 2017
How to Escape Saddle Points Efficiently
How to Escape Saddle Points Efficiently
Chi Jin
Rong Ge
Praneeth Netrapalli
Sham Kakade
Michael I. Jordan
ODL
37
831
0
02 Mar 2017
Natasha: Faster Non-Convex Stochastic Optimization Via Strongly
  Non-Convex Parameter
Natasha: Faster Non-Convex Stochastic Optimization Via Strongly Non-Convex Parameter
Zeyuan Allen-Zhu
20
80
0
02 Feb 2017
Convergence Results for Neural Networks via Electrodynamics
Convergence Results for Neural Networks via Electrodynamics
Rina Panigrahy
Sushant Sachdeva
Qiuyi Zhang
MLT
MDE
29
22
0
01 Feb 2017
Fast Rates for Empirical Risk Minimization of Strict Saddle Problems
Fast Rates for Empirical Risk Minimization of Strict Saddle Problems
Alon Gonen
Shai Shalev-Shwartz
41
30
0
16 Jan 2017
Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex
  Matrix Factorization
Symmetry, Saddle Points, and Global Optimization Landscape of Nonconvex Matrix Factorization
Xingguo Li
Junwei Lu
R. Arora
Jarvis Haupt
Han Liu
Zhaoran Wang
T. Zhao
43
52
0
29 Dec 2016
The Power of Normalization: Faster Evasion of Saddle Points
The Power of Normalization: Faster Evasion of Saddle Points
Kfir Y. Levy
22
108
0
15 Nov 2016
Finding Approximate Local Minima Faster than Gradient Descent
Finding Approximate Local Minima Faster than Gradient Descent
Naman Agarwal
Zeyuan Allen-Zhu
Brian Bullins
Elad Hazan
Tengyu Ma
38
83
0
03 Nov 2016
Homotopy Analysis for Tensor PCA
Homotopy Analysis for Tensor PCA
Anima Anandkumar
Yuan-bei Deng
Rong Ge
H. Mobahi
30
43
0
28 Oct 2016
Convergence rate of stochastic k-means
Convergence rate of stochastic k-means
Cheng Tang
C. Monteleoni
26
26
0
16 Oct 2016
Gradient Descent Learns Linear Dynamical Systems
Gradient Descent Learns Linear Dynamical Systems
Moritz Hardt
Tengyu Ma
Benjamin Recht
16
237
0
16 Sep 2016
Non-square matrix sensing without spurious local minima via the
  Burer-Monteiro approach
Non-square matrix sensing without spurious local minima via the Burer-Monteiro approach
Dohyung Park
Anastasios Kyrillidis
C. Caramanis
Sujay Sanghavi
23
179
0
12 Sep 2016
Local Maxima in the Likelihood of Gaussian Mixture Models: Structural
  Results and Algorithmic Consequences
Local Maxima in the Likelihood of Gaussian Mixture Models: Structural Results and Algorithmic Consequences
Chi Jin
Yuchen Zhang
Sivaraman Balakrishnan
Martin J. Wainwright
Michael I. Jordan
37
131
0
04 Sep 2016
Piecewise convexity of artificial neural networks
Piecewise convexity of artificial neural networks
Blaine Rister
Daniel L Rubin
AAML
ODL
28
31
0
17 Jul 2016
Online and Differentially-Private Tensor Decomposition
Online and Differentially-Private Tensor Decomposition
Yining Wang
Anima Anandkumar
27
38
0
20 Jun 2016
Provable Efficient Online Matrix Completion via Non-convex Stochastic
  Gradient Descent
Provable Efficient Online Matrix Completion via Non-convex Stochastic Gradient Descent
Chi Jin
Sham Kakade
Praneeth Netrapalli
19
81
0
26 May 2016
Matrix Completion has No Spurious Local Minimum
Matrix Completion has No Spurious Local Minimum
Rong Ge
J. Lee
Tengyu Ma
25
596
0
24 May 2016
Global Optimality of Local Search for Low Rank Matrix Recovery
Global Optimality of Local Search for Low Rank Matrix Recovery
Srinadh Bhojanapalli
Behnam Neyshabur
Nathan Srebro
ODL
36
386
0
23 May 2016
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