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Fast Algorithms for Robust PCA via Gradient Descent

Fast Algorithms for Robust PCA via Gradient Descent

25 May 2016
Xinyang Yi
Dohyung Park
Yudong Chen
C. Caramanis
ArXivPDFHTML

Papers citing "Fast Algorithms for Robust PCA via Gradient Descent"

42 / 42 papers shown
Title
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
Namrata Vaswani
41
0
0
20 Apr 2025
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
Preconditioned Gradient Descent for Over-Parameterized Nonconvex Matrix Factorization
G. Zhang
S. Fattahi
Richard Y. Zhang
45
36
0
13 Apr 2025
Fast and Sample Efficient Multi-Task Representation Learning in Stochastic Contextual Bandits
Fast and Sample Efficient Multi-Task Representation Learning in Stochastic Contextual Bandits
Jiabin Lin
Shana Moothedath
Namrata Vaswani
61
4
0
08 Jan 2025
GaLore$+$: Boosting Low-Rank Adaptation for LLMs with Cross-Head Projection
GaLore+++: Boosting Low-Rank Adaptation for LLMs with Cross-Head Projection
Xutao Liao
Shaohui Li
Yuhui Xu
Zhi Li
Y. Liu
You He
VLM
59
3
0
31 Dec 2024
OATS: Outlier-Aware Pruning Through Sparse and Low Rank Decomposition
OATS: Outlier-Aware Pruning Through Sparse and Low Rank Decomposition
Stephen Zhang
Vardan Papyan
VLM
51
1
0
20 Sep 2024
Leave-One-Out Analysis for Nonconvex Robust Matrix Completion with General Thresholding Functions
Leave-One-Out Analysis for Nonconvex Robust Matrix Completion with General Thresholding Functions
Tianming Wang
Ke Wei
33
1
0
28 Jul 2024
On the Robustness of Cross-Concentrated Sampling for Matrix Completion
On the Robustness of Cross-Concentrated Sampling for Matrix Completion
HanQin Cai
Longxiu Huang
Chandra Kundu
Bowen Su
37
4
0
28 Jan 2024
LQ-LoRA: Low-rank Plus Quantized Matrix Decomposition for Efficient
  Language Model Finetuning
LQ-LoRA: Low-rank Plus Quantized Matrix Decomposition for Efficient Language Model Finetuning
Han Guo
P. Greengard
Eric P. Xing
Yoon Kim
MQ
36
43
0
20 Nov 2023
Provably Accelerating Ill-Conditioned Low-rank Estimation via Scaled
  Gradient Descent, Even with Overparameterization
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
Low-Rank Mirror-Prox for Nonsmooth and Low-Rank Matrix Optimization Problems
Low-Rank Mirror-Prox for Nonsmooth and Low-Rank Matrix Optimization Problems
Dan Garber
Atara Kaplan
21
0
0
23 Jun 2022
Low-Rank Extragradient Method for Nonsmooth and Low-Rank Matrix Optimization Problems
Low-Rank Extragradient Method for Nonsmooth and Low-Rank Matrix Optimization Problems
Dan Garber
Atara Kaplan
21
5
0
08 Feb 2022
Matrix Completion with Hierarchical Graph Side Information
Matrix Completion with Hierarchical Graph Side Information
Adel M. Elmahdy
Junhyung Ahn
Changho Suh
S. Mohajer
20
15
0
02 Jan 2022
Learned Robust PCA: A Scalable Deep Unfolding Approach for
  High-Dimensional Outlier Detection
Learned Robust PCA: A Scalable Deep Unfolding Approach for High-Dimensional Outlier Detection
HanQin Cai
Jialin Liu
W. Yin
35
39
0
11 Oct 2021
GNMR: A provable one-line algorithm for low rank matrix recovery
GNMR: A provable one-line algorithm for low rank matrix recovery
Pini Zilber
B. Nadler
48
13
0
24 Jun 2021
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian
  Optimization
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian Optimization
Jian-Feng Cai
Jingyang Li
Dong Xia
49
30
0
16 Mar 2021
On the Efficient Implementation of the Matrix Exponentiated Gradient
  Algorithm for Low-Rank Matrix Optimization
On the Efficient Implementation of the Matrix Exponentiated Gradient Algorithm for Low-Rank Matrix Optimization
Dan Garber
Atara Kaplan
16
4
0
18 Dec 2020
Spectral Methods for Data Science: A Statistical Perspective
Spectral Methods for Data Science: A Statistical Perspective
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
40
165
0
15 Dec 2020
Recursive Importance Sketching for Rank Constrained Least Squares:
  Algorithms and High-order Convergence
Recursive Importance Sketching for Rank Constrained Least Squares: Algorithms and High-order Convergence
Yuetian Luo
Wen Huang
Xudong Li
Anru R. Zhang
23
15
0
17 Nov 2020
Fast Robust Subspace Tracking via PCA in Sparse Data-Dependent Noise
Fast Robust Subspace Tracking via PCA in Sparse Data-Dependent Noise
Praneeth Narayanamurthy
Namrata Vaswani
27
10
0
14 Jun 2020
Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled
  Gradient Descent
Accelerating Ill-Conditioned Low-Rank Matrix Estimation via Scaled Gradient Descent
Tian Tong
Cong Ma
Yuejie Chi
27
115
0
18 May 2020
Depth Descent Synchronization in $\mathrm{SO}(D)$
Depth Descent Synchronization in SO(D)\mathrm{SO}(D)SO(D)
Tyler Maunu
Gilad Lerman
MDE
34
2
0
13 Feb 2020
Noisy Matrix Completion: Understanding Statistical Guarantees for Convex
  Relaxation via Nonconvex Optimization
Noisy Matrix Completion: Understanding Statistical Guarantees for Convex Relaxation via Nonconvex Optimization
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
Yuling Yan
20
128
0
20 Feb 2019
Efficient Optimization Algorithms for Robust Principal Component
  Analysis and Its Variants
Efficient Optimization Algorithms for Robust Principal Component Analysis and Its Variants
Shiqian Ma
N. Aybat
20
50
0
09 Jun 2018
Hypergraph Spectral Clustering in the Weighted Stochastic Block Model
Hypergraph Spectral Clustering in the Weighted Stochastic Block Model
Kwangjun Ahn
Kangwook Lee
Changho Suh
24
62
0
23 May 2018
A Nonconvex Projection Method for Robust PCA
A Nonconvex Projection Method for Robust PCA
Aritra Dutta
Filip Hanzely
Peter Richtárik
20
24
0
21 May 2018
Fast, Parameter free Outlier Identification for Robust PCA
Fast, Parameter free Outlier Identification for Robust PCA
V. Menon
Sheetal Kalyani
33
2
0
13 Apr 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
Robust Estimation via Robust Gradient Estimation
Robust Estimation via Robust Gradient Estimation
Adarsh Prasad
A. Suggala
Sivaraman Balakrishnan
Pradeep Ravikumar
30
219
0
19 Feb 2018
On Deterministic Sampling Patterns for Robust Low-Rank Matrix Completion
On Deterministic Sampling Patterns for Robust Low-Rank Matrix Completion
Morteza Ashraphijuo
Vaneet Aggarwal
Xiaodong Wang
30
19
0
05 Dec 2017
Robust Subspace Learning: Robust PCA, Robust Subspace Tracking, and
  Robust Subspace Recovery
Robust Subspace Learning: Robust PCA, Robust Subspace Tracking, and Robust Subspace Recovery
Namrata Vaswani
T. Bouwmans
S. Javed
Praneeth Narayanamurthy
OOD
35
273
0
26 Nov 2017
Informed Non-convex Robust Principal Component Analysis with Features
Informed Non-convex Robust Principal Component Analysis with Features
Niannan Xue
Jiankang Deng
Yannis Panagakis
S. Zafeiriou
18
7
0
14 Sep 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
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
36
433
0
03 Apr 2017
Thresholding based Efficient Outlier Robust PCA
Thresholding based Efficient Outlier Robust PCA
Yeshwanth Cherapanamjeri
Prateek Jain
Praneeth Netrapalli
27
15
0
18 Feb 2017
PCA in Data-Dependent Noise (Correlated-PCA): Nearly Optimal Finite Sample Guarantees
Namrata Vaswani
Praneeth Narayanamurthy
36
2
0
10 Feb 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
Coherence Pursuit: Fast, Simple, and Robust Principal Component Analysis
Coherence Pursuit: Fast, Simple, and Robust Principal Component Analysis
M. Rahmani
George Atia
33
134
0
15 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
20
179
0
12 Sep 2016
Nearly-optimal Robust Matrix Completion
Nearly-optimal Robust Matrix Completion
Yeshwanth Cherapanamjeri
Kartik Gupta
Prateek Jain
41
100
0
23 Jun 2016
Convergence Analysis for Rectangular Matrix Completion Using
  Burer-Monteiro Factorization and Gradient Descent
Convergence Analysis for Rectangular Matrix Completion Using Burer-Monteiro Factorization and Gradient Descent
Qinqing Zheng
John D. Lafferty
31
160
0
23 May 2016
Median-Truncated Nonconvex Approach for Phase Retrieval with Outliers
Median-Truncated Nonconvex Approach for Phase Retrieval with Outliers
Huishuai Zhang
Yuejie Chi
Yingbin Liang
19
55
0
11 Mar 2016
Randomized Robust Subspace Recovery for High Dimensional Data Matrices
Randomized Robust Subspace Recovery for High Dimensional Data Matrices
M. Rahmani
George Atia
22
57
0
21 May 2015
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