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The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics

30 May 2017

Joshua Cape

M. Tang

Carey E. Priebe

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Papers citing "The two-to-infinity norm and singular subspace geometry with applications to high-dimensional statistics"

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Title
$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 38 3 0 16 Nov 2020
A Simple Spectral Failure Mode for Graph Convolutional Networks Carey E. Priebe Cencheng Shen Ningyuan Huang Tianyi Chen GNN 26 7 0 25 Oct 2020
Communication-efficient distributed eigenspace estimation Vasileios Charisopoulos Austin R. Benson Anil Damle 45 10 0 05 Sep 2020
A Sharp Blockwise Tensor Perturbation Bound for Orthogonal Iteration Yuetian Luo Garvesh Raskutti M. Yuan Anru R. Zhang 81 12 0 06 Aug 2020
A Schatten- $q$ Low-rank Matrix Perturbation Analysis via Perturbation Projection Error Bound Yuetian Luo Rungang Han Anru R. Zhang 68 10 0 04 Aug 2020
The Importance of Being Correlated: Implications of Dependence in Joint Spectral Inference across Multiple Networks Konstantinos Pantazis A. Athreya Jesús Arroyo W. Frost E. Hill V. Lyzinski 85 12 0 01 Aug 2020
The multilayer random dot product graph Andrew Jones Patrick Rubin-Delanchy 105 38 0 20 Jul 2020
A Performance Guarantee for Spectral Clustering M. Boedihardjo Shaofeng Deng Thomas Strohmer 54 7 0 10 Jul 2020
$An $\ell_p$ theory of PCA and spectral clustering$ An $\ell_p$ theory of PCA and spectral clustering Emmanuel Abbe Jianqing Fan Kaizheng Wang 57 5 0 24 Jun 2020
Manifold structure in graph embeddings Patrick Rubin-Delanchy 75 25 0 09 Jun 2020
Dense Embeddings Preserving the Semantic Relationships in WordNet Canlin Zhang Xiuwen Liu 6 3 0 22 Apr 2020
Learning 1-Dimensional Submanifolds for Subsequent Inference on Random Dot Product Graphs M. Trosset Mingyue Gao M. Tang Carey E. Priebe 443 10 0 15 Apr 2020
Vintage Factor Analysis with Varimax Performs Statistical Inference Karl Rohe Muzhe Zeng 114 54 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
Spectral Clustering Revisited: Information Hidden in the Fiedler Vector Adela DePavia Stefan Steinerberger 60 8 0 22 Mar 2020
Entrywise convergence of iterative methods for eigenproblems Vasileios Charisopoulos Austin R. Benson Anil Damle 78 2 0 19 Feb 2020
Persistent Homology of Graph Embeddings Vinesh Solanki Patrick Rubin-Delanchy Ian Gallagher 59 7 0 21 Dec 2019
Change point localization in dependent dynamic nonparametric random dot product graphs Oscar Hernan Madrid Padilla Yi Yu Carey E. Priebe 54 27 0 18 Nov 2019
Spectral embedding of weighted graphs Ian Gallagher Andrew Jones A. Bertiger Carey Priebe Patrick Rubin-Delanchy 59 16 0 12 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 102 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
High-dimensional principal component analysis with heterogeneous missingness Ziwei Zhu Tengyao Wang R. Samworth 183 50 0 28 Jun 2019
Recovering shared structure from multiple networks with unknown edge distributions Keith D. Levin A. Lodhia Elizaveta Levina 48 9 0 13 Jun 2019
Uniform bounds for invariant subspace perturbations Anil Damle Yuekai Sun 58 22 0 20 May 2019
Vertex Nomination, Consistent Estimation, and Adversarial Modification Joshua Agterberg Youngser Park Jonathan Larson Christopher M. White Carey E. Priebe V. Lyzinski 121 16 0 06 May 2019
Two-sample Test of Community Memberships of Weighted Stochastic Block Models Yezheng Li Hongzhe Li 46 17 0 30 Nov 2018
Hierarchical community detection by recursive partitioning Tianxi Li Lihua Lei Sharmodeep Bhattacharyya Koen Van den Berge Purnamrita Sarkar Peter J. Bickel Elizaveta Levina 104 79 0 02 Oct 2018
Singular vector and singular subspace distribution for the matrix denoising model Z. Bao Xiucai Ding Ke Wang 111 51 0 27 Sep 2018
Bayesian Estimation of Sparse Spiked Covariance Matrices in High Dimensions Fangzheng Xie Yanxun Xu Carey E. Priebe Joshua Cape 52 8 0 22 Aug 2018
Robust high dimensional factor models with applications to statistical machine learning Jianqing Fan Kaizheng Wang Yiqiao Zhong Ziwei Zhu 86 55 0 12 Aug 2018
Matrices with Gaussian noise: optimal estimates for singular subspace perturbation Sean O’Rourke Van Vu Ke Wang 81 7 0 02 Mar 2018
Signal-plus-noise matrix models: eigenvector deviations and fluctuations Joshua Cape M. Tang Carey E. Priebe 107 50 0 01 Feb 2018
Entrywise Eigenvector Analysis of Random Matrices with Low Expected Rank Emmanuel Abbe Jianqing Fan Kaizheng Wang Yiqiao Zhong 159 251 0 27 Sep 2017
A statistical interpretation of spectral embedding: the generalised random dot product graph Patrick Rubin-Delanchy Joshua Cape M. Tang Carey E. Priebe 117 133 0 16 Sep 2017
Statistical inference on random dot product graphs: a survey A. Athreya D. E. Fishkind Keith D. Levin V. Lyzinski Youngser Park Yichen Qin D. Sussman M. Tang Joshua T. Vogelstein Carey E. Priebe 149 249 0 16 Sep 2017
Estimating Mixed Memberships with Sharp Eigenvector Deviations Xueyu Mao Purnamrita Sarkar Deepayan Chakrabarti 117 89 0 01 Sep 2017
The Sup-norm Perturbation of HOSVD and Low Rank Tensor Denoising Dong Xia Fan Zhou 50 0 0 05 Jul 2017