Nonconvex Matrix Factorization from Rank-One Measurements

Type: Preprint

Publication Date: 2018-02-17

Citations: 9

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  • arXiv (Cornell University) - View

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Citing (30)

Action Title Year Authors
+ None 2003 V. Bentkus
+ PDF Chat Adaptive estimation of a quadratic functional by model selection 2000 BĂŠatrice Laurent
Pascal Massart
+ The Rotation of Eigenvectors by a Perturbation. III 1970 Chandler Davis
W. Kahan
+ PDF Chat A useful variant of the Davis–Kahan theorem for statisticians 2015 Yi Yu
Tengyao Wang
Richard J. Samworth
+ Kaczmarz Method for Solving Quadratic Equations 2016 Yuejie Chi
Yue M. Lu
+ PDF Chat Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems 2016 Yuxin Chen
Emmanuel J. Candès
+ PDF Chat Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution 2019 Cong Ma
Kaizheng Wang
Yuejie Chi
Yuxin Chen
+ Towards provable learning of polynomial neural networks using low-rank matrix estimation 2018 Mohammadreza Soltani
Chinmay Hegde
+ Concentration and Moment Inequalities for Polynomials of Independent Random Variables 2012 Warren Schudy
Maxim Sviridenko
+ Optimal rates of convergence for noisy sparse phase retrieval via thresholded Wirtinger flow 2016 Tommaso Cai
Xiaodong Li
Zongming Ma
+ PDF Chat The Local Convexity of Solving Systems of Quadratic Equations 2016 Sujay Sanghavi
Rachel Ward
Chris D. White
+ A Convex Formulation for Mixed Regression with Two Components: Minimax Optimal Rates 2014 Yudong Chen
Xinyang Yi
Constantine Caramanis
+ PDF Chat Introduction to the non-asymptotic analysis of random matrices 2012 Roman Vershynin
+ PDF Chat Spectral method and regularized MLE are both optimal for top-$K$ ranking 2019 Yuxin Chen
Jianqing Fan
Cong Ma
Kaizheng Wang
+ PDF Chat PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming 2012 Emmanuel J. Candès
Thomas Strohmer
Vladislav Voroninski
+ Experimental compressive phase space tomography 2012 Lei Tian
Justin Lee
Se Baek Oh
George Barbastathis
+ Fast low-rank estimation by projected gradient descent: General statistical and algorithmic guarantees 2015 Yudong Chen
Martin J. Wainwright
+ Phase recovery, MaxCut and complex semidefinite programming 2013 Irène Waldspurger
Alexandre d’Aspremont
StĂŠphane Mallat
+ PDF Chat Solving Quadratic Equations via PhaseLift When There Are About as Many Equations as Unknowns 2013 Emmanuel J. Candès
Xiaodong Li
+ Low-Rank Positive Semidefinite Matrix Recovery From Corrupted Rank-One Measurements 2016 Yuanxin Li
Yue Sun
Yuejie Chi
+ A Non-convex One-Pass Framework for Generalized Factorization Machine and Rank-One Matrix Sensing 2016 Ming Lin
Jieping Ye
+ Structured signal recovery from quadratic measurements: Breaking sample complexity barriers via nonconvex optimization 2017 Mahdi Soltanolkotabi
+ Recovery Guarantees for One-hidden-layer Neural Networks 2017 Kai Zhong
Zhao Song
Prateek Jain
Peter L. Bartlett
Inderjit S. Dhillon
+ Convergence of the randomized Kaczmarz method for phase retrieval 2017 Halyun Jeong
C. SÄąnan GĂźntĂźrk
+ Spectral Compressed Sensing via Projected Gradient Descent 2017 Jian‐Feng Cai
Tianming Wang
Ke Wei
+ Optimization-based AMP for Phase Retrieval: The Impact of Initialization and $\ell_2$-regularization 2018 Junjie Ma
Ji Xu
Arian Maleki
+ PDF Chat Solving systems of phaseless equations via Kaczmarz methods: a proof of concept study 2015 Ke Wei
+ Theoretical Insights Into the Optimization Landscape of Over-Parameterized Shallow Neural Networks 2018 Mahdi Soltanolkotabi
Adel Javanmard
Jason D. Lee
+ Low rank matrix recovery from rank one measurements 2015 Richard Kueng
Holger Rauhut
Ulrich Terstiege
+ PDF Chat A Geometric Analysis of Phase Retrieval 2017 Ju Sun
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