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Spectral Methods for Data Science: A Statistical Perspective
v1v2 (latest)

Spectral Methods for Data Science: A Statistical Perspective

15 December 2020
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
ArXiv (abs)PDFHTML

Papers citing "Spectral Methods for Data Science: A Statistical Perspective"

50 / 110 papers shown
Generalization Bounds for Semi-supervised Matrix Completion with Distributional Side Information
Generalization Bounds for Semi-supervised Matrix Completion with Distributional Side Information
Antoine Ledent
Mun Chong Soo
Nong Minh Hieu
215
0
0
17 Nov 2025
PCA++: How Uniformity Induces Robustness to Background Noise in Contrastive Learning
PCA++: How Uniformity Induces Robustness to Background Noise in Contrastive Learning
Mingqi Wu
Qiang Sun
Yi Yang
147
1
0
15 Nov 2025
Concentration bounds on response-based vector embeddings of black-box generative models
Concentration bounds on response-based vector embeddings of black-box generative models
Aranyak Acharyya
Joshua Agterberg
Youngser Park
Carey E. Priebe
248
2
0
11 Nov 2025
TrackVLA++: Unleashing Reasoning and Memory Capabilities in VLA Models for Embodied Visual Tracking
TrackVLA++: Unleashing Reasoning and Memory Capabilities in VLA Models for Embodied Visual Tracking
Jiahang Liu
Yunpeng Qi
JIazhao Zhang
Minghan Li
Shaoan Wang
...
H. Zhang
Zhibo Chen
Fangwei Zhong
Zhizheng Zhang
He Wang
LRM
195
0
0
08 Oct 2025
Preference-Based Dynamic Ranking Structure Recognition
Preference-Based Dynamic Ranking Structure Recognition
Nan Lu
Jian Shi
Xin-Yu Tian
227
0
0
29 Sep 2025
Robust and Adaptive Spectral Method for Representation Multi-Task Learning with Contamination
Robust and Adaptive Spectral Method for Representation Multi-Task Learning with Contamination
Yian Huang
Yang Feng
Z. Ying
218
0
0
08 Sep 2025
Connections between reinforcement learning with feedback,test-time scaling, and diffusion guidance: An anthology
Connections between reinforcement learning with feedback,test-time scaling, and diffusion guidance: An anthology
Yuchen Jiao
Yuxin Chen
Gen Li
OffRL
201
0
0
04 Sep 2025
Factor Informed Double Deep Learning For Average Treatment Effect Estimation
Factor Informed Double Deep Learning For Average Treatment Effect Estimation
Jianqing Fan
Soham Jana
Sanjeev R. Kulkarni
Qishuo Yin
FedMLCML
139
1
0
23 Aug 2025
An LLM + ASP Workflow for Joint Entity-Relation Extraction
An LLM + ASP Workflow for Joint Entity-Relation Extraction
Trang Tran
Trung Hoang Le
H. Cao
Tran Cao Son
242
3
0
18 Aug 2025
Demystifying Spectral Feature Learning for Instrumental Variable Regression
Demystifying Spectral Feature Learning for Instrumental Variable Regression
Dimitri Meunier
Antoine Moulin
Jakub Wornbard
Vladimir R. Kostic
Arthur Gretton
CML
418
4
0
12 Jun 2025
Multiresolution Analysis and Statistical Thresholding on Dynamic Networks
Multiresolution Analysis and Statistical Thresholding on Dynamic Networks
Raphaël Romero
T. D. Bie
Nick Heard
Alexander Modell
359
2
0
01 Jun 2025
From Invariant Representations to Invariant Data: Provable Robustness to Spurious Correlations via Noisy Counterfactual Matching
From Invariant Representations to Invariant Data: Provable Robustness to Spurious Correlations via Noisy Counterfactual MatchingMachine-mediated learning (ML), 2025
Ruqi Bai
Yao Ji
Zeyu Zhou
David I. Inouye
OOD
558
1
0
30 May 2025
Differentially Private and Scalable Estimation of the Network Principal Component
Differentially Private and Scalable Estimation of the Network Principal Component
Alireza Khayatian
Anil Vullikanti
Aritra Konar
301
1
0
06 May 2025
Euclidean Distance Matrix Completion via Asymmetric Projected Gradient Descent
Euclidean Distance Matrix Completion via Asymmetric Projected Gradient Descent
Yicheng Li
Xinghua Sun
303
0
0
28 Apr 2025
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
AltGDmin: Alternating GD and Minimization for Partly-Decoupled (Federated) Optimization
Namrata Vaswani
222
0
0
20 Apr 2025
Understanding the Learning Dynamics of LoRA: A Gradient Flow Perspective on Low-Rank Adaptation in Matrix Factorization
Understanding the Learning Dynamics of LoRA: A Gradient Flow Perspective on Low-Rank Adaptation in Matrix FactorizationInternational Conference on Artificial Intelligence and Statistics (AISTATS), 2025
Ziqing Xu
Hancheng Min
Lachlan Ewen MacDonald
Jinqi Luo
Salma Tarmoun
Enrique Mallada
Rene Vidal
AI4CE
476
7
0
10 Mar 2025
Optimal Transfer Learning for Missing Not-at-Random Matrix Completion
Optimal Transfer Learning for Missing Not-at-Random Matrix Completion
Akhil Jalan
Yassir Jedra
Arya Mazumdar
Soumendu Sundar Mukherjee
Purnamrita Sarkar
993
2
0
28 Feb 2025
Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak Recovery
Spectral Estimators for Multi-Index Models: Precise Asymptotics and Optimal Weak RecoveryAnnual Conference Computational Learning Theory (COLT), 2025
Filip Kovačević
Yihan Zhang
Marco Mondelli
513
6
0
03 Feb 2025
$k$-SVD with Gradient Descent
kkk-SVD with Gradient Descent
Yassir Jedra
Yassir Jedra
538
0
0
01 Feb 2025
Fast and Sample Efficient Multi-Task Representation Learning in Stochastic Contextual Bandits
Fast and Sample Efficient Multi-Task Representation Learning in Stochastic Contextual BanditsInternational Conference on Machine Learning (ICML), 2024
Jiabin Lin
Shana Moothedath
Namrata Vaswani
490
9
0
08 Jan 2025
Generalized Grade-of-Membership Estimation for High-dimensional Locally
  Dependent Data
Generalized Grade-of-Membership Estimation for High-dimensional Locally Dependent Data
Ling Chen
Chengzhu Huang
Yuqi Gu
272
0
0
27 Dec 2024
Model-free Low-Rank Reinforcement Learning via Leveraged Entry-wise
  Matrix Estimation
Model-free Low-Rank Reinforcement Learning via Leveraged Entry-wise Matrix EstimationNeural Information Processing Systems (NeurIPS), 2024
Stefan Stojanovic
Yassir Jedra
Alexandre Proutiere
448
0
0
30 Oct 2024
Learning with Shared Representations: Statistical Rates and Efficient Algorithms
Learning with Shared Representations: Statistical Rates and Efficient Algorithms
Xiaochun Niu
Lili Su
Jiaming Xu
Pengkun Yang
FedML
496
2
0
07 Sep 2024
Factor Adjusted Spectral Clustering for Mixture Models
Factor Adjusted Spectral Clustering for Mixture Models
Shange Tang
Soham Jana
Jianqing Fan
338
2
0
22 Aug 2024
Non-convex matrix sensing: Breaking the quadratic rank barrier in the sample complexity
Non-convex matrix sensing: Breaking the quadratic rank barrier in the sample complexity
Dominik Stoger
Yizhe Zhu
614
7
0
20 Aug 2024
Statistical ranking with dynamic covariates
Statistical ranking with dynamic covariates
Pinjun Dong
Ruijian Han
Binyan Jiang
Yiming Xu
541
6
0
24 Jun 2024
Cluster Quilting: Spectral Clustering for Patchwork Learning
Cluster Quilting: Spectral Clustering for Patchwork Learning
Lili Zheng
Andersen Chang
Genevera I. Allen
192
1
0
19 Jun 2024
Temporal label recovery from noisy dynamical data
Temporal label recovery from noisy dynamical data
Y. Khoo
Xin T. Tong
Wanjie Wang
Yuguan Wang
276
5
0
19 Jun 2024
Learning Joint and Individual Structure in Network Data with Covariates
Learning Joint and Individual Structure in Network Data with Covariates
Carson James
Dongbang Yuan
Irina Gaynanova
Jesús Arroyo
CML
260
2
0
13 Jun 2024
Entry-Wise Eigenvector Analysis and Improved Rates for Topic Modeling on
  Short Documents
Entry-Wise Eigenvector Analysis and Improved Rates for Topic Modeling on Short Documents
Z. T. Ke
Jingming Wang
183
1
0
28 May 2024
Entrywise error bounds for low-rank approximations of kernel matrices
Entrywise error bounds for low-rank approximations of kernel matricesNeural Information Processing Systems (NeurIPS), 2024
Alexander Modell
301
0
0
23 May 2024
Efficient Federated Low Rank Matrix Completion
Efficient Federated Low Rank Matrix Completion
Ahmed Ali Abbasi
Namrata Vaswani
216
1
0
10 May 2024
Estimating mixed memberships in multi-layer networks
Estimating mixed memberships in multi-layer networks
Huan Qing
260
0
0
05 Apr 2024
On varimax asymptotics in network models and spectral methods for
  dimensionality reduction
On varimax asymptotics in network models and spectral methods for dimensionality reductionBiometrika (Biometrika), 2023
Joshua Cape
256
4
0
08 Mar 2024
Top-$K$ ranking with a monotone adversary
Top-KKK ranking with a monotone adversaryAnnual Conference Computational Learning Theory (COLT), 2024
Yuepeng Yang
Antares Chen
Lorenzo Orecchia
Cong Ma
428
4
0
12 Feb 2024
On Minimum Trace Factor Analysis -- An Old Song Sung to a New Tune
On Minimum Trace Factor Analysis -- An Old Song Sung to a New Tune
C. Li
A. Shkolnik
265
0
0
04 Feb 2024
Low-Tubal-Rank Tensor Recovery via Factorized Gradient Descent
Low-Tubal-Rank Tensor Recovery via Factorized Gradient DescentIEEE Transactions on Signal Processing (IEEE TSP), 2024
Zhiyu Liu
Zhi Han
Yandong Tang
Xi-Le Zhao
Yao Wang
474
10
0
22 Jan 2024
Efficient Estimation of the Central Mean Subspace via Smoothed Gradient
  Outer Products
Efficient Estimation of the Central Mean Subspace via Smoothed Gradient Outer Products
Gan Yuan
Mingyue Xu
Samory Kpotufe
Daniel Hsu
218
12
0
24 Dec 2023
Empirical Bayes Covariance Decomposition, and a Solution to the Multiple Tuning Problem in Sparse PCA
Empirical Bayes Covariance Decomposition, and a Solution to the Multiple Tuning Problem in Sparse PCA
Joonsuk Kang
Matthew Stephens
193
0
0
06 Dec 2023
Mixed membership estimation for categorical data with weighted responses
Mixed membership estimation for categorical data with weighted responsesTest (Madrid) (TM), 2023
Huan Qing
329
0
0
17 Oct 2023
A Theory of Non-Linear Feature Learning with One Gradient Step in Two-Layer Neural Networks
A Theory of Non-Linear Feature Learning with One Gradient Step in Two-Layer Neural NetworksInternational Conference on Machine Learning (ICML), 2023
Behrad Moniri
Donghwan Lee
Hamed Hassani
Guang Cheng
MLT
589
37
0
11 Oct 2023
Spectral Entry-wise Matrix Estimation for Low-Rank Reinforcement
  Learning
Spectral Entry-wise Matrix Estimation for Low-Rank Reinforcement LearningNeural Information Processing Systems (NeurIPS), 2023
Stefan Stojanovic
Yassir Jedra
Alexandre Proutière
361
5
0
10 Oct 2023
Byzantine-Resilient Federated PCA and Low Rank Column-wise Sensing
Byzantine-Resilient Federated PCA and Low Rank Column-wise SensingIEEE Transactions on Information Theory (IEEE Trans. Inf. Theory), 2023
Ankit Pratap Singh
Namrata Vaswani
501
1
0
25 Sep 2023
Inferences on Mixing Probabilities and Ranking in Mixed-Membership
  Models
Inferences on Mixing Probabilities and Ranking in Mixed-Membership Models
Sohom Bhattacharya
Jianqing Fan
Jikai Hou
258
4
0
29 Aug 2023
Scalable High-Dimensional Multivariate Linear Regression for
  Feature-Distributed Data
Scalable High-Dimensional Multivariate Linear Regression for Feature-Distributed DataJournal of machine learning research (JMLR), 2023
Shuo-chieh Huang
R. Tsay
369
1
0
07 Jul 2023
Minimax rates for latent position estimation in the generalized random
  dot product graph
Minimax rates for latent position estimation in the generalized random dot product graph
Hao Yan
Keith D. Levin
336
4
0
04 Jul 2023
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance Model
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance ModelJournal of The Royal Statistical Society Series B-statistical Methodology (JRSSB), 2023
Runshi Tang
M. Yuan
Anru R. Zhang
290
4
0
02 Jul 2023
Privacy-Preserving Community Detection for Locally Distributed Multiple
  Networks
Privacy-Preserving Community Detection for Locally Distributed Multiple Networks
Xiaoxun Guo
Xiang Li
Xiangyu Chang
Shujie Ma
299
7
0
27 Jun 2023
Near Optimal Heteroscedastic Regression with Symbiotic Learning
Near Optimal Heteroscedastic Regression with Symbiotic LearningAnnual Conference Computational Learning Theory (COLT), 2023
Dheeraj Baby
Aniket Das
Dheeraj M. Nagaraj
Praneeth Netrapalli
365
5
0
25 Jun 2023
Uniform error bound for PCA matrix denoising
Uniform error bound for PCA matrix denoisingBernoulli (Bernoulli), 2023
Xin T. Tong
Wanjie Wang
Yuguan Wang
291
7
0
22 Jun 2023
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