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Spectral Methods for Data Science: A Statistical Perspective

Spectral Methods for Data Science: A Statistical Perspective

15 December 2020
Yuxin Chen
Yuejie Chi
Jianqing Fan
Cong Ma
ArXivPDFHTML

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

50 / 100 papers shown
Title
Differentially Private Densest-$k$-Subgraph
Differentially Private Densest-kkk-Subgraph
Alireza Khayatian
Anil Vullikanti
Aritra Konar
32
0
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
39
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
37
0
0
20 Apr 2025
Understanding the Learning Dynamics of LoRA: A Gradient Flow Perspective on Low-Rank Adaptation in Matrix Factorization
Ziqing Xu
Hancheng Min
Lachlan Ewen MacDonald
Jinqi Luo
Salma Tarmoun
Enrique Mallada
René Vidal
AI4CE
53
0
0
10 Mar 2025
Optimal Transfer Learning for Missing Not-at-Random Matrix Completion
Akhil Jalan
Yassir Jedra
Arya Mazumdar
Soumendu Sundar Mukherjee
Purnamrita Sarkar
138
0
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 Recovery
Filip Kovačević
Yihan Zhang
Marco Mondelli
70
0
0
03 Feb 2025
$k$-SVD with Gradient Descent
kkk-SVD with Gradient Descent
Emily Gan
Yassir Jedra
Devavrat Shah
63
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 Bandits
Jiabin Lin
Shana Moothedath
Namrata Vaswani
56
4
0
08 Jan 2025
Model-free Low-Rank Reinforcement Learning via Leveraged Entry-wise
  Matrix Estimation
Model-free Low-Rank Reinforcement Learning via Leveraged Entry-wise Matrix Estimation
Stefan Stojanovic
Yassir Jedra
Alexandre Proutiere
33
0
0
30 Oct 2024
LoRanPAC: Low-rank Random Features and Pre-trained Models for Bridging Theory and Practice in Continual Learning
LoRanPAC: Low-rank Random Features and Pre-trained Models for Bridging Theory and Practice in Continual Learning
Liangzu Peng
Juan Elenter
Joshua Agterberg
Alejandro Ribeiro
René Vidal
VLM
CLL
46
1
0
01 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
30
0
0
07 Sep 2024
Factor Adjusted Spectral Clustering for Mixture Models
Factor Adjusted Spectral Clustering for Mixture Models
Shange Tang
Soham Jana
Jianqing Fan
37
0
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
32
2
0
20 Aug 2024
Statistical ranking with dynamic covariates
Statistical ranking with dynamic covariates
Pinjun Dong
Ruijian Han
Binyan Jiang
Yiming Xu
42
0
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
21
0
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
20
2
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
29
0
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
22
1
0
28 May 2024
Entrywise error bounds for low-rank approximations of kernel matrices
Entrywise error bounds for low-rank approximations of kernel matrices
Alexander Modell
51
0
0
23 May 2024
Efficient Federated Low Rank Matrix Completion
Efficient Federated Low Rank Matrix Completion
Ahmed Ali Abbasi
Namrata Vaswani
13
0
0
10 May 2024
Estimating mixed memberships in multi-layer networks
Estimating mixed memberships in multi-layer networks
Huan Qing
47
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 reduction
Joshua Cape
47
1
0
08 Mar 2024
Top-$K$ ranking with a monotone adversary
Top-KKK ranking with a monotone adversary
Yuepeng Yang
Antares Chen
Lorenzo Orecchia
Cong Ma
37
1
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
13
0
0
04 Feb 2024
Low-Tubal-Rank Tensor Recovery via Factorized Gradient Descent
Low-Tubal-Rank Tensor Recovery via Factorized Gradient Descent
Zhiyu Liu
Zhi-Long Han
Yandong Tang
Xi-Le Zhao
Yao Wang
50
1
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
24
9
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
19
0
0
06 Dec 2023
WGoM: A novel model for categorical data with weighted responses
WGoM: A novel model for categorical data with weighted responses
Huan Qing
25
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 Networks
Behrad Moniri
Donghwan Lee
Hamed Hassani
Edgar Dobriban
MLT
40
19
0
11 Oct 2023
Spectral Entry-wise Matrix Estimation for Low-Rank Reinforcement
  Learning
Spectral Entry-wise Matrix Estimation for Low-Rank Reinforcement Learning
Stefan Stojanovic
Yassir Jedra
Alexandre Proutière
25
5
0
10 Oct 2023
Byzantine-Resilient Federated PCA and Low Rank Column-wise Sensing
Byzantine-Resilient Federated PCA and Low Rank Column-wise Sensing
Ankit Pratap Singh
Namrata Vaswani
24
0
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
21
1
0
29 Aug 2023
Scalable High-Dimensional Multivariate Linear Regression for
  Feature-Distributed Data
Scalable High-Dimensional Multivariate Linear Regression for Feature-Distributed Data
Shuo-chieh Huang
R. Tsay
29
0
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
20
2
0
04 Jul 2023
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance Model
Mode-wise Principal Subspace Pursuit and Matrix Spiked Covariance Model
Runshi Tang
M. Yuan
Anru R. Zhang
43
3
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
26
4
0
27 Jun 2023
Near Optimal Heteroscedastic Regression with Symbiotic Learning
Near Optimal Heteroscedastic Regression with Symbiotic Learning
Dheeraj Baby
Aniket Das
Dheeraj M. Nagaraj
Praneeth Netrapalli
22
3
0
25 Jun 2023
Uniform error bound for PCA matrix denoising
Uniform error bound for PCA matrix denoising
Xin T. Tong
Wanjie Wang
Yuguan Wang
13
2
0
22 Jun 2023
Intensity Profile Projection: A Framework for Continuous-Time
  Representation Learning for Dynamic Networks
Intensity Profile Projection: A Framework for Continuous-Time Representation Learning for Dynamic Networks
Alexander Modell
Ian Gallagher
Emma Ceccherini
N. Whiteley
Patrick Rubin-Delanchy
25
1
0
09 Jun 2023
Ridge Estimation with Nonlinear Transformations
Zheng Zhai
Hengchao Chen
Zhigang Yao
16
0
0
09 Jun 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 Descent
Jialun Zhang
Hong-Ming Chiu
Richard Y. Zhang
37
5
0
26 May 2023
An Overview of Asymptotic Normality in Stochastic Blockmodels: Cluster
  Analysis and Inference
An Overview of Asymptotic Normality in Stochastic Blockmodels: Cluster Analysis and Inference
Joshua Agterberg
Joshua Cape
39
1
0
10 May 2023
A Novel and Optimal Spectral Method for Permutation Synchronization
A Novel and Optimal Spectral Method for Permutation Synchronization
Duc Nguyen
An Zhang
21
1
0
21 Mar 2023
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in
  heteroskedastic PCA
Deflated HeteroPCA: Overcoming the curse of ill-conditioning in heteroskedastic PCA
Yuchen Zhou
Yuxin Chen
40
4
0
10 Mar 2023
Statistical Analysis of Karcher Means for Random Restricted PSD Matrices
Statistical Analysis of Karcher Means for Random Restricted PSD Matrices
Hengchao Chen
Xiang Li
Qiang Sun
17
1
0
24 Feb 2023
Sharp analysis of EM for learning mixtures of pairwise differences
Sharp analysis of EM for learning mixtures of pairwise differences
A. Dhawan
Cheng Mao
A. Pananjady
15
1
0
20 Feb 2023
Approximate message passing from random initialization with applications
  to $\mathbb{Z}_{2}$ synchronization
Approximate message passing from random initialization with applications to Z2\mathbb{Z}_{2}Z2​ synchronization
Gen Li
Wei Fan
Yuting Wei
26
10
0
07 Feb 2023
The Power of Preconditioning in Overparameterized Low-Rank Matrix
  Sensing
The Power of Preconditioning in Overparameterized Low-Rank Matrix Sensing
Xingyu Xu
Yandi Shen
Yuejie Chi
Cong Ma
40
34
0
02 Feb 2023
Fundamental Limits of Spectral Clustering in Stochastic Block Models
Fundamental Limits of Spectral Clustering in Stochastic Block Models
An Zhang
36
4
0
23 Jan 2023
Uncertainty Quantification of MLE for Entity Ranking with Covariates
Uncertainty Quantification of MLE for Entity Ranking with Covariates
Jianqing Fan
Jikai Hou
Mengxin Yu
CML
28
11
0
20 Dec 2022
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