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Bridging Convex and Nonconvex Optimization in Robust PCA: Noise,
  Outliers, and Missing Data
v1v2 (latest)

Bridging Convex and Nonconvex Optimization in Robust PCA: Noise, Outliers, and Missing Data

Annals of Statistics (Ann. Stat.), 2020
15 January 2020
Yuxin Chen
Jianqing Fan
Cong Ma
Yuling Yan
ArXiv (abs)PDFHTML

Papers citing "Bridging Convex and Nonconvex Optimization in Robust PCA: Noise, Outliers, and Missing Data"

32 / 32 papers shown
RGNMR: A Gauss-Newton method for robust matrix completion with theoretical guarantees
RGNMR: A Gauss-Newton method for robust matrix completion with theoretical guarantees
Eilon Vaknin Laufer
Boaz Nadler
386
1
0
19 May 2025
Alternating minimization for square root principal component pursuit
Alternating minimization for square root principal component pursuit
Shengxiang Deng
Xudong Li
Yangjing Zhang
451
1
0
31 Dec 2024
$\ell_0$ factor analysis
ℓ0\ell_0ℓ0​ factor analysis
Linyang Wang
Wanquan Liu
Bin Zhu
397
0
0
13 Nov 2024
Exact Recovery Guarantees for Parameterized Nonlinear System Identification Problem under Sparse Disturbances or Semi-Oblivious Attacks
Exact Recovery Guarantees for Parameterized Nonlinear System Identification Problem under Sparse Disturbances or Semi-Oblivious Attacks
Haixiang Zhang
Baturalp Yalcin
Javad Lavaei
Eduardo Sontag
AAML
522
1
0
30 Aug 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
331
2
0
28 Jul 2024
Heterogeneous Treatment Effects in Panel Data
Heterogeneous Treatment Effects in Panel Data
R. Levi
Elisabeth Paulson
Georgia Perakis
Emily Zhang
CML
229
0
0
09 Jun 2024
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
416
12
0
09 Oct 2023
Fast and Accurate Estimation of Low-Rank Matrices from Noisy
  Measurements via Preconditioned Non-Convex Gradient Descent
Fast and Accurate Estimation of Low-Rank Matrices from Noisy Measurements via Preconditioned Non-Convex Gradient DescentInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2023
Jialun Zhang
Hong-Ming Chiu
Richard Y. Zhang
429
8
0
26 May 2023
Exact Recovery for System Identification with More Corrupt Data than
  Clean Data
Exact Recovery for System Identification with More Corrupt Data than Clean Data
Baturalp Yalcin
Haixiang Zhang
Javad Lavaei
Murat Arcak
452
8
0
17 May 2023
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in
  heteroskedastic PCA
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in heteroskedastic PCAAnnals of Statistics (Ann. Stat.), 2023
Yuchen Zhou
Yuxin Chen
373
11
0
10 Mar 2023
Optimal tuning-free convex relaxation for noisy matrix completion
Optimal tuning-free convex relaxation for noisy matrix completionIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2022
Yuepeng Yang
Cong Ma
398
8
0
12 Jul 2022
Fast and Provable Tensor Robust Principal Component Analysis via Scaled
  Gradient Descent
Fast and Provable Tensor Robust Principal Component Analysis via Scaled Gradient DescentInformation and Inference A Journal of the IMA (JIII), 2022
Harry Dong
Tian Tong
Cong Ma
Yuejie Chi
319
19
0
18 Jun 2022
Robust Matrix Completion with Heavy-tailed Noise
Robust Matrix Completion with Heavy-tailed NoiseJournal of the American Statistical Association (JASA), 2022
Bingyan Wang
Jianqing Fan
281
15
0
09 Jun 2022
Non-Asymptotic Guarantees for Robust Statistical Learning under Infinite
  Variance Assumption
Non-Asymptotic Guarantees for Robust Statistical Learning under Infinite Variance AssumptionJournal of machine learning research (JMLR), 2022
Lihu Xu
Fang Yao
Qiuran Yao
Huiming Zhang
346
17
0
10 Jan 2022
Rank Overspecified Robust Matrix Recovery: Subgradient Method and Exact
  Recovery
Rank Overspecified Robust Matrix Recovery: Subgradient Method and Exact RecoveryNeural Information Processing Systems (NeurIPS), 2021
Lijun Ding
Liwei Jiang
Yudong Chen
Qing Qu
Zhihui Zhu
271
30
0
23 Sep 2021
Inference for Heteroskedastic PCA with Missing Data
Inference for Heteroskedastic PCA with Missing DataAnnals of Statistics (Ann. Stat.), 2021
Yuling Yan
Yuxin Chen
Jianqing Fan
418
30
0
26 Jul 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
702
19
0
24 Jun 2021
Square Root Principal Component Pursuit: Tuning-Free Noisy Robust Matrix
  Recovery
Square Root Principal Component Pursuit: Tuning-Free Noisy Robust Matrix Recovery
Junhui Zhang
Jingkai Yan
John N. Wright
291
7
0
17 Jun 2021
Learning Treatment Effects in Panels with General Intervention Patterns
Learning Treatment Effects in Panels with General Intervention PatternsNeural Information Processing Systems (NeurIPS), 2021
Vivek F. Farias
Andrew A. Li
Tianyi Peng
CML
224
10
0
05 Jun 2021
Sample-Efficient Reinforcement Learning for Linearly-Parameterized MDPs
  with a Generative Model
Sample-Efficient Reinforcement Learning for Linearly-Parameterized MDPs with a Generative ModelNeural Information Processing Systems (NeurIPS), 2021
Bingyan Wang
Yuling Yan
Jianqing Fan
509
24
0
28 May 2021
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian
  Optimization
Generalized Low-rank plus Sparse Tensor Estimation by Fast Riemannian OptimizationJournal of the American Statistical Association (JASA), 2021
Jian-Feng Cai
Jingyang Li
Dong Xia
649
35
0
16 Mar 2021
Matrix optimization based Euclidean embedding with outliers
Matrix optimization based Euclidean embedding with outliersComputational optimization and applications (Comput. Optim. Appl.), 2020
Qian Zhang
Xinyuan Zhao
Chao Ding
351
2
0
23 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
696
217
0
15 Dec 2020
Outlier-robust sparse/low-rank least-squares regression and robust
  matrix completion
Outlier-robust sparse/low-rank least-squares regression and robust matrix completion
Philip Thompson
503
9
0
12 Dec 2020
Learning Mixtures of Low-Rank Models
Learning Mixtures of Low-Rank ModelsIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2020
Yanxi Chen
Cong Ma
H. Vincent Poor
Yuxin Chen
371
16
0
23 Sep 2020
Recent Developments on Factor Models and its Applications in Econometric
  Learning
Recent Developments on Factor Models and its Applications in Econometric LearningAnnual Review of Financial Economics (ARFE), 2020
Jianqing Fan
Kunpeng Li
Yuan Liao
295
24
0
21 Sep 2020
Convex and Nonconvex Optimization Are Both Minimax-Optimal for Noisy
  Blind Deconvolution under Random Designs
Convex and Nonconvex Optimization Are Both Minimax-Optimal for Noisy Blind Deconvolution under Random Designs
Yuxin Chen
Jianqing Fan
B. Wang
Yuling Yan
457
17
0
04 Aug 2020
Fixing Inventory Inaccuracies At Scale
Fixing Inventory Inaccuracies At ScaleManufacturing & Service Operations Management (MSOM), 2020
Vivek F. Farias
Andrew A. Li
Tianyi Peng
248
5
0
23 Jun 2020
Median Matrix Completion: from Embarrassment to Optimality
Median Matrix Completion: from Embarrassment to Optimality
Weidong Liu
Xiaojun Mao
Raymond K. W. Wong
304
3
0
18 Jun 2020
Uncertainty quantification for nonconvex tensor completion: Confidence
  intervals, heteroscedasticity and optimality
Uncertainty quantification for nonconvex tensor completion: Confidence intervals, heteroscedasticity and optimality
Changxiao Cai
H. Vincent Poor
Yuxin Chen
351
26
0
15 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
601
142
0
18 May 2020
Nonconvex Matrix Factorization from Rank-One Measurements
Nonconvex Matrix Factorization from Rank-One Measurements
Yuanxin Li
Cong Ma
Yuxin Chen
Yuejie Chi
219
57
0
17 Feb 2018
1
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