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1407.4070
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Fast matrix completion without the condition number
15 July 2014
Moritz Hardt
Mary Wootters
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Papers citing
"Fast matrix completion without the condition number"
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Title
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
G. Zhang
S. Fattahi
Richard Y. Zhang
45
36
0
13 Apr 2025
Leave-One-Out Analysis for Nonconvex Robust Matrix Completion with General Thresholding Functions
Tianming Wang
Ke Wei
33
1
0
28 Jul 2024
Online Learning and Information Exponents: On The Importance of Batch size, and Time/Complexity Tradeoffs
Luca Arnaboldi
Yatin Dandi
Florent Krzakala
Bruno Loureiro
Luca Pesce
Ludovic Stephan
47
1
0
04 Jun 2024
Provably Accelerating Ill-Conditioned Low-rank Estimation via Scaled Gradient Descent, Even with Overparameterization
Cong Ma
Xingyu Xu
Tian Tong
Yuejie Chi
18
9
0
09 Oct 2023
Matrix Completion in Almost-Verification Time
Jonathan A. Kelner
Jungshian Li
Allen Liu
Aaron Sidford
Kevin Tian
19
4
0
07 Aug 2023
Greedy Pruning with Group Lasso Provably Generalizes for Matrix Sensing
Nived Rajaraman
Devvrit
Aryan Mokhtari
Kannan Ramchandran
25
0
0
20 Mar 2023
Low Rank Matrix Completion via Robust Alternating Minimization in Nearly Linear Time
Yuzhou Gu
Zhao Song
Junze Yin
Licheng Zhang
16
26
0
21 Feb 2023
Accelerating SGD for Highly Ill-Conditioned Huge-Scale Online Matrix Completion
G. Zhang
Hong-Ming Chiu
Richard Y. Zhang
27
10
0
24 Aug 2022
Robust Matrix Completion with Heavy-tailed Noise
Bingyan Wang
Jianqing Fan
21
4
0
09 Jun 2022
Randomly Initialized Alternating Least Squares: Fast Convergence for Matrix Sensing
Kiryung Lee
Dominik Stöger
31
11
0
25 Apr 2022
Private Alternating Least Squares: Practical Private Matrix Completion with Tighter Rates
Steve Chien
Prateek Jain
Walid Krichene
Steffen Rendle
Shuang Song
Abhradeep Thakurta
Li Zhang
25
19
0
20 Jul 2021
GNMR: A provable one-line algorithm for low rank matrix recovery
Pini Zilber
B. Nadler
48
14
0
24 Jun 2021
Exact Linear Convergence Rate Analysis for Low-Rank Symmetric Matrix Completion via Gradient Descent
Trung Vu
Raviv Raich
40
10
0
04 Feb 2021
Riemannian Perspective on Matrix Factorization
Kwangjun Ahn
Felipe Suarez
16
13
0
01 Feb 2021
Low-Rank Matrix Recovery with Scaled Subgradient Methods: Fast and Robust Convergence Without the Condition Number
Tian Tong
Cong Ma
Yuejie Chi
21
55
0
26 Oct 2020
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
Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled Gradient Descent
Tian Tong
Cong Ma
Yuejie Chi
27
115
0
18 May 2020
The Sparse Reverse of Principal Component Analysis for Fast Low-Rank Matrix Completion
Abdallah A. Chehade
Zunya Shi
19
0
0
04 Oct 2019
A Survey of Optimization Methods from a Machine Learning Perspective
Shiliang Sun
Zehui Cao
Han Zhu
Jing Zhao
22
548
0
17 Jun 2019
Nonconvex Rectangular Matrix Completion via Gradient Descent without
ℓ
2
,
∞
\ell_{2,\infty}
ℓ
2
,
∞
Regularization
Ji Chen
Dekai Liu
Xiaodong Li
13
11
0
18 Jan 2019
Provable Subspace Tracking from Missing Data and Matrix Completion
Praneeth Narayanamurthy
Vahid Daneshpajooh
Namrata Vaswani
19
22
0
06 Oct 2018
Nonconvex Optimization Meets Low-Rank Matrix Factorization: An Overview
Yuejie Chi
Yue M. Lu
Yuxin Chen
39
416
0
25 Sep 2018
Modeling longitudinal data using matrix completion
Lukasz Kidzinski
Trevor Hastie
14
1
0
24 Sep 2018
Non-Convex Matrix Completion Against a Semi-Random Adversary
Yu Cheng
Rong Ge
AAML
36
24
0
28 Mar 2018
Fast and Sample Efficient Inductive Matrix Completion via Multi-Phase Procrustes Flow
Xiao Zhang
S. Du
Quanquan Gu
26
24
0
03 Mar 2018
Static and Dynamic Robust PCA and Matrix Completion: A Review
Namrata Vaswani
Praneeth Narayanamurthy
22
73
0
01 Mar 2018
Recovery of simultaneous low rank and two-way sparse coefficient matrices, a nonconvex approach
Ming Yu
Varun Gupta
Mladen Kolar
29
21
0
20 Feb 2018
Matrix Completion with Nonconvex Regularization: Spectral Operators and Scalable Algorithms
Rahul Mazumder
Diego Saldana
Haolei Weng
25
13
0
24 Jan 2018
Differentially Private Matrix Completion Revisited
Prateek Jain
Om Thakkar
Abhradeep Thakurta
FedML
26
34
0
28 Dec 2017
Non-convex Optimization for Machine Learning
Prateek Jain
Purushottam Kar
33
479
0
21 Dec 2017
Convolutional Phase Retrieval via Gradient Descent
Qing Qu
Yuqian Zhang
Yonina C. Eldar
John N. Wright
38
29
0
03 Dec 2017
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
29
240
0
28 Nov 2017
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
On the Power of Truncated SVD for General High-rank Matrix Estimation Problems
S. Du
Yining Wang
Aarti Singh
27
16
0
22 Feb 2017
A Unified Framework for Low-Rank plus Sparse Matrix Recovery
Xiao Zhang
Lingxiao Wang
Quanquan Gu
22
10
0
21 Feb 2017
Exact tensor completion with sum-of-squares
Aaron Potechin
David Steurer
19
80
0
21 Feb 2017
A Universal Variance Reduction-Based Catalyst for Nonconvex Low-Rank Matrix Recovery
Lingxiao Wang
Xiao Zhang
Quanquan Gu
29
11
0
09 Jan 2017
Dynamic matrix recovery from incomplete observations under an exact low-rank constraint
Liangbei Xu
Mark A. Davenport
15
26
0
28 Oct 2016
Low-tubal-rank Tensor Completion using Alternating Minimization
Xiao-Yang Liu
Shuchin Aeron
Vaneet Aggarwal
Xiaodong Wang
22
119
0
05 Oct 2016
Tensor Graphical Model: Non-convex Optimization and Statistical Inference
Xiang Lyu
W. Sun
Zhaoran Wang
Han Liu
Jian Yang
Guang Cheng
CML
18
0
0
15 Sep 2016
A Non-convex One-Pass Framework for Generalized Factorization Machine and Rank-One Matrix Sensing
Ming Lin
Jieping Ye
37
21
0
21 Aug 2016
Nearly-optimal Robust Matrix Completion
Yeshwanth Cherapanamjeri
Kartik Gupta
Prateek Jain
41
100
0
23 Jun 2016
Finding Low-Rank Solutions via Non-Convex Matrix Factorization, Efficiently and Provably
Dohyung Park
Anastasios Kyrillidis
C. Caramanis
Sujay Sanghavi
17
55
0
10 Jun 2016
Provable Burer-Monteiro factorization for a class of norm-constrained matrix problems
Dohyung Park
Anastasios Kyrillidis
Srinadh Bhojanapalli
C. Caramanis
Sujay Sanghavi
15
22
0
04 Jun 2016
Contextual Bandits with Latent Confounders: An NMF Approach
Rajat Sen
Karthikeyan Shanmugam
Murat Kocaoglu
A. Dimakis
Sanjay Shakkottai
13
4
0
01 Jun 2016
Matrix Completion has No Spurious Local Minimum
Rong Ge
J. Lee
Tengyu Ma
25
596
0
24 May 2016
Convergence Analysis for Rectangular Matrix Completion Using Burer-Monteiro Factorization and Gradient Descent
Qinqing Zheng
John D. Lafferty
34
160
0
23 May 2016
A Geometric Analysis of Phase Retrieval
Ju Sun
Qing Qu
John N. Wright
34
522
0
22 Feb 2016
Complete Dictionary Recovery over the Sphere II: Recovery by Riemannian Trust-region Method
Ju Sun
Qing Qu
John N. Wright
16
146
0
15 Nov 2015
Complete Dictionary Recovery over the Sphere I: Overview and the Geometric Picture
Ju Sun
Qing Qu
John N. Wright
32
157
0
11 Nov 2015
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