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Signal-plus-noise matrix models: eigenvector deviations and fluctuations

1 February 2018

Joshua Cape

M. Tang

Carey E. Priebe

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Papers citing "Signal-plus-noise matrix models: eigenvector deviations and fluctuations"

34 / 34 papers shown

Title
Beyond Sin-Squared Error: Linear-Time Entrywise Uncertainty Quantification for Streaming PCA Syamantak Kumar Shourya Pandey Purnamrita Sarkar 27 0 0 14 Jun 2025
On varimax asymptotics in network models and spectral methods for dimensionality reduction Joshua Cape 85 1 0 08 Mar 2024
Statistical Inference on Latent Space Models for Network Data Jinming Li Gongjun Xu Ji Zhu 57 2 0 11 Dec 2023
Uniform error bound for PCA matrix denoising Xin T. Tong Wanjie Wang Yuguan Wang 68 2 0 22 Jun 2023
An Overview of Asymptotic Normality in Stochastic Blockmodels: Cluster Analysis and Inference Joshua Agterberg Joshua Cape 78 1 0 10 May 2023
On Uniform Consistency of Spectral Embeddings Ruofei Zhao Songkai Xue Yuekai Sun 63 0 0 25 Apr 2023
Strong Consistency Guarantees for Clustering High-Dimensional Bipartite Graphs with the Spectral Method Guillaume Braun 87 2 0 14 Apr 2023
Elliptic PDE learning is provably data-efficient N. Boullé Diana Halikias Alex Townsend 96 21 0 24 Feb 2023
Bayesian Sparse Gaussian Mixture Model in High Dimensions Dapeng Yao Fangzheng Xie Yanxun Xu 118 1 0 21 Jul 2022
Entrywise Recovery Guarantees for Sparse PCA via Sparsistent Algorithms Joshua Agterberg Jeremias Sulam 64 0 0 08 Feb 2022
Popularity Adjusted Block Models are Generalized Random Dot Product Graphs John Koo M. Tang M. Trosset 58 9 0 09 Sep 2021
Entrywise Estimation of Singular Vectors of Low-Rank Matrices with Heteroskedasticity and Dependence Joshua Agterberg Zachary Lubberts Carey Priebe 107 21 0 27 May 2021
$An exact $\sinΘ$ formula for matrix perturbation analysis and its applications$ An exact $\sinΘ$ formula for matrix perturbation analysis and its applications He Lyu Rongrong Wang 63 3 0 16 Nov 2020
Tracy-Widom law for the extreme eigenvalues of large signal-plus-noise matrices Zhixiang Zhang G. Pan 43 3 0 25 Sep 2020
A Sharp Blockwise Tensor Perturbation Bound for Orthogonal Iteration Yuetian Luo Garvesh Raskutti M. Yuan Anru R. Zhang 85 12 0 06 Aug 2020
The multilayer random dot product graph Andrew Jones Patrick Rubin-Delanchy 105 38 0 20 Jul 2020
Manifold structure in graph embeddings Patrick Rubin-Delanchy 75 25 0 09 Jun 2020
Consistency of Spectral Clustering on Hierarchical Stochastic Block Models Lihua Lei Xiaodong Li Xingmei Lou 46 19 0 30 Apr 2020
Vintage Factor Analysis with Varimax Performs Statistical Inference Karl Rohe Muzhe Zeng 114 55 0 11 Apr 2020
On Two Distinct Sources of Nonidentifiability in Latent Position Random Graph Models Joshua Agterberg M. Tang Carey E. Priebe CML 88 10 0 31 Mar 2020
Randomized Spectral Clustering in Large-Scale Stochastic Block Models Hai Zhang Xiao Guo Xiangyu Chang 142 24 0 20 Jan 2020
Efficient Estimation for Random Dot Product Graphs via a One-step Procedure Fangzheng Xie Yanxun Xu 72 21 0 10 Oct 2019
$Subspace Estimation from Unbalanced and Incomplete Data Matrices: $\ell_{2,\infty}$ Statistical Guarantees$ Subspace Estimation from Unbalanced and Incomplete Data Matrices: $\ell_{2,\infty}$ Statistical Guarantees Changxiao Cai Gen Li Yuejie Chi H. Vincent Poor Yuxin Chen 119 13 0 09 Oct 2019
$Unified $\ell_{2\rightarrow\infty}$ Eigenspace Perturbation Theory for Symmetric Random Matrices$ Unified $\ell_{2\rightarrow\infty}$ Eigenspace Perturbation Theory for Symmetric Random Matrices Lihua Lei 66 9 0 11 Sep 2019
Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices II: Computation and Applications J. Lutzeyer S. M. I. A. T. Walden 45 0 0 09 Aug 2019
Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory J. Lutzeyer S. M. I. A. T. Walden 43 1 0 09 Aug 2019
Asymmetry Helps: Eigenvalue and Eigenvector Analyses of Asymmetrically Perturbed Low-Rank Matrices Yuxin Chen Chen Cheng Jianqing Fan 88 39 0 30 Nov 2018
Two-sample Test of Community Memberships of Weighted Stochastic Block Models Yezheng Li Hongzhe Li 46 17 0 30 Nov 2018
Singular vector and singular subspace distribution for the matrix denoising model Z. Bao Xiucai Ding Ke Wang 113 51 0 27 Sep 2018
Bayesian Estimation of Sparse Spiked Covariance Matrices in High Dimensions Fangzheng Xie Yanxun Xu Carey E. Priebe Joshua Cape 62 8 0 22 Aug 2018
Matrices with Gaussian noise: optimal estimates for singular subspace perturbation Sean O’Rourke Van Vu Ke Wang 92 7 0 02 Mar 2018
A statistical interpretation of spectral embedding: the generalised random dot product graph Patrick Rubin-Delanchy Joshua Cape M. Tang Carey E. Priebe 160 133 0 16 Sep 2017
Estimating Mixed Memberships with Sharp Eigenvector Deviations Xueyu Mao Purnamrita Sarkar Deepayan Chakrabarti 149 89 0 01 Sep 2017
The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics Joshua Cape M. Tang Carey E. Priebe 130 136 0 30 May 2017