On the Gap Between Strict-Saddles and True Convexity: An Omega(log d) Lower Bound for Eigenvector Approximation

14 April 2017

Max Simchowitz

Benjamin Recht

Papers citing "On the Gap Between Strict-Saddles and True Convexity: An Omega(log d) Lower Bound for Eigenvector Approximation"

29 / 29 papers shown

Title
How to Escape Saddle Points Efficiently Chi Jin Rong Ge Praneeth Netrapalli Sham Kakade Michael I. Jordan ODL 229 838 0 02 Mar 2017
Communication-efficient Algorithms for Distributed Stochastic Principal Component Analysis Dan Garber Ohad Shamir Nathan Srebro 57 43 0 27 Feb 2017
The Simulator: Understanding Adaptive Sampling in the Moderate-Confidence Regime Max Simchowitz Kevin Jamieson Benjamin Recht 133 66 0 16 Feb 2017
Oracle Complexity of Second-Order Methods for Finite-Sum Problems Yossi Arjevani Ohad Shamir 86 24 0 15 Nov 2016
Finding Approximate Local Minima Faster than Gradient Descent Naman Agarwal Zeyuan Allen-Zhu Brian Bullins Elad Hazan Tengyu Ma 93 83 0 03 Nov 2016
$Low Rank Approximation with Entrywise $\ell_1$-Norm Error$ Low Rank Approximation with Entrywise $\ell_1$ -Norm Error Zhao Song David P. Woodruff Peilin Zhong 116 25 0 03 Nov 2016
Efficient Estimation of Partially Linear Models for Spatial Data over Complex Domain Elad Hazan Chi Jin Cameron Musco Praneeth Netrapalli 60 24 0 27 May 2016
Matrix Completion has No Spurious Local Minimum Rong Ge Jason D. Lee Tengyu Ma 114 599 0 24 May 2016
Global Optimality of Local Search for Low Rank Matrix Recovery Srinadh Bhojanapalli Behnam Neyshabur Nathan Srebro ODL 112 388 0 23 May 2016
A Geometric Analysis of Phase Retrieval Ju Sun Qing Qu John N. Wright 129 526 0 22 Feb 2016
Optimal Best Arm Identification with Fixed Confidence Aurélien Garivier E. Kaufmann 134 346 0 15 Feb 2016
Complete Dictionary Recovery over the Sphere I: Overview and the Geometric Picture Ju Sun Qing Qu John N. Wright 125 159 0 11 Nov 2015
When Are Nonconvex Problems Not Scary? Ju Sun Qing Qu John N. Wright 121 166 0 21 Oct 2015
Dropping Convexity for Faster Semi-definite Optimization Srinadh Bhojanapalli Anastasios Kyrillidis Sujay Sanghavi 80 173 0 14 Sep 2015
Fast Stochastic Algorithms for SVD and PCA: Convergence Properties and Convexity Ohad Shamir 40 95 0 31 Jul 2015
A Convergent Gradient Descent Algorithm for Rank Minimization and Semidefinite Programming from Random Linear Measurements Qinqing Zheng John D. Lafferty 107 186 0 19 Jun 2015
Escaping From Saddle Points --- Online Stochastic Gradient for Tensor Decomposition Rong Ge Furong Huang Chi Jin Yang Yuan 143 1,059 0 06 Mar 2015
Simple, Efficient, and Neural Algorithms for Sparse Coding Sanjeev Arora Rong Ge Tengyu Ma Ankur Moitra 108 193 0 02 Mar 2015
On Bayes Risk Lower Bounds Xinyu Chen Adityanand Guntuboyina Yuchen Zhang 54 47 0 02 Oct 2014
Best-Arm Identification in Linear Bandits Marta Soare A. Lazaric Rémi Munos 72 182 0 22 Sep 2014
Neural Machine Translation by Jointly Learning to Align and Translate Dzmitry Bahdanau Kyunghyun Cho Yoshua Bengio AIMat 575 27,327 0 01 Sep 2014
Phase Retrieval via Wirtinger Flow: Theory and Algorithms Emmanuel Candes Xiaodong Li Mahdi Soltanolkotabi 199 1,288 0 03 Jul 2014
Fundamental Limits of Online and Distributed Algorithms for Statistical Learning and Estimation Ohad Shamir 104 108 0 14 Nov 2013
Phase Retrieval using Alternating Minimization Praneeth Netrapalli Prateek Jain Sujay Sanghavi 226 633 0 02 Jun 2013
Query Complexity of Derivative-Free Optimization Kevin Jamieson Robert D. Nowak Benjamin Recht 173 160 0 11 Sep 2012
On the Fundamental Limits of Adaptive Sensing E. Arias-Castro Emmanuel J. Candes Mark A. Davenport 163 137 0 20 Nov 2011
Computing a Nonnegative Matrix Factorization -- Provably Sanjeev Arora Rong Ge R. Kannan Ankur Moitra 309 399 0 03 Nov 2011
Information-theoretic lower bounds on the oracle complexity of stochastic convex optimization Alekh Agarwal Peter L. Bartlett Pradeep Ravikumar Martin J. Wainwright 202 251 0 03 Sep 2010
On combinatorial testing problems L. Addario-Berry N. Broutin Luc Devroye Gábor Lugosi 115 114 0 24 Aug 2009