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1607.08601
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Limit theorems for eigenvectors of the normalized Laplacian for random graphs
28 July 2016
M. Tang
Carey E. Priebe
Re-assign community
ArXiv (abs)
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Papers citing
"Limit theorems for eigenvectors of the normalized Laplacian for random graphs"
50 / 56 papers shown
Title
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Detection of Model-based Planted Pseudo-cliques in Random Dot Product Graphs by the Adjacency Spectral Embedding and the Graph Encoder Embedding
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Intensity Profile Projection: A Framework for Continuous-Time Representation Learning for Dynamic Networks
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Ian Gallagher
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An Overview of Asymptotic Normality in Stochastic Blockmodels: Cluster Analysis and Inference
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Decentralized core-periphery structure in social networks accelerates cultural innovation in agent-based model
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SIMPLE-RC: Group Network Inference with Non-Sharp Nulls and Weak Signals
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Yingying Fan
Jinchi Lv
Fan Yang
215
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31 Oct 2022
Implications of sparsity and high triangle density for graph representation learning
International Conference on Artificial Intelligence and Statistics (AISTATS), 2022
Hannah Sansford
Alexander Modell
N. Whiteley
Patrick Rubin-Delanchy
161
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Dynamic Network Sampling for Community Detection
Applied Network Science (Appl Netw Sci), 2022
Cong Mu
Youngser Park
Carey E. Priebe
122
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29 Aug 2022
Adversarial contamination of networks in the setting of vertex nomination: a new trimming method
Sheyda Peyman
M. Tang
V. Lyzinski
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Statistical inference of random graphs with a surrogate likelihood function
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Fangzheng Xie
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04 Jul 2022
Clustered Graph Matching for Label Recovery and Graph Classification
IEEE Transactions on Network Science and Engineering (IEEE T-NSE), 2022
Zhirui Li
Jesús Arroyo
Konstantinos Pantazis
V. Lyzinski
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06 May 2022
Optimal Network Membership Estimation Under Severe Degree Heterogeneity
Journal of the American Statistical Association (JASA), 2022
Z. Ke
Jingming Wang
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26 Apr 2022
Identifying Peer Influence in Therapeutic Communities Adjusting for Latent Homophily
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Spectral embedding and the latent geometry of multipartite networks
Alexander Modell
Ian Gallagher
Joshua Cape
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178
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Asymptotics of
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A. Davison
213
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05 Jan 2022
Matrix factorisation and the interpretation of geodesic distance
Neural Information Processing Systems (NeurIPS), 2021
N. Whiteley
Annie Gray
Patrick Rubin-Delanchy
193
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Hypothesis Testing for Equality of Latent Positions in Random Graphs
Xinjie Du
M. Tang
132
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Spectral clustering under degree heterogeneity: a case for the random walk Laplacian
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Exact Recovery of Community Structures Using DeepWalk and Node2vec
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M. Tang
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18 Jan 2021
Maximum a Posteriori Inference of Random Dot Product Graphs via Conic Programming
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D. Wu
David R Palmer
Daryl R. DeFord
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Nonparametric Two-Sample Hypothesis Testing for Random Graphs with Negative and Repeated Eigenvalues
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Carey Priebe
122
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Spectral clustering via adaptive layer aggregation for multi-layer networks
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Haolei Weng
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218
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An exact
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Rongrong Wang
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Spectral clustering on spherical coordinates under the degree-corrected stochastic blockmodel
Francesco Sanna Passino
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Patrick Rubin-Delanchy
204
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The Importance of Being Correlated: Implications of Dependence in Joint Spectral Inference across Multiple Networks
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Konstantinos Pantazis
A. Athreya
Jesús Arroyo
W. Frost
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V. Lyzinski
329
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The multilayer random dot product graph
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Patrick Rubin-Delanchy
211
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On spectral algorithms for community detection in stochastic blockmodel graphs with vertex covariates
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A. Mele
Lingxin Hao
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Carey E. Priebe
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Manifold structure in graph embeddings
Patrick Rubin-Delanchy
220
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Convergence and Stability of Graph Convolutional Networks on Large Random Graphs
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Nicolas Keriven
A. Bietti
Samuel Vaiter
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02 Jun 2020
On Two Distinct Sources of Nonidentifiability in Latent Position Random Graph Models
Joshua Agterberg
M. Tang
Carey E. Priebe
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126
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31 Mar 2020
Sparse and Smooth: improved guarantees for Spectral Clustering in the Dynamic Stochastic Block Model
Electronic Journal of Statistics (EJS), 2020
Nicolas Keriven
Samuel Vaiter
231
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Spectral embedding of weighted graphs
Journal of the American Statistical Association (JASA), 2019
Ian Gallagher
Andrew Jones
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Carey Priebe
Patrick Rubin-Delanchy
189
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Efficient Estimation for Random Dot Product Graphs via a One-step Procedure
Journal of the American Statistical Association (JASA), 2019
Fangzheng Xie
Yanxun Xu
216
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10 Oct 2019
Limit theorems for out-of-sample extensions of the adjacency and Laplacian spectral embeddings
Journal of machine learning research (JMLR), 2019
Keith D. Levin
Fred Roosta
M. Tang
Michael W. Mahoney
Carey E. Priebe
131
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29 Sep 2019
Spectral inference for large Stochastic Blockmodels with nodal covariates
Social Science Research Network (SSRN), 2019
A. Mele
Lingxin Hao
Joshua Cape
Carey E. Priebe
219
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18 Aug 2019
Extending the Davis-Kahan theorem for comparing eigenvectors of two symmetric matrices I: Theory
J. Lutzeyer
S. M. I. A. T. Walden
89
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09 Aug 2019
Optimal Bayesian Estimation for Random Dot Product Graphs
Fangzheng Xie
Yanxun Xu
85
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Bayesian estimation of the latent dimension and communities in stochastic blockmodels
Francesco Sanna Passino
N. Heard
BDL
160
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06 Apr 2019
Simultaneous Dimensionality and Complexity Model Selection for Spectral Graph Clustering
Congyuan Yang
Carey E. Priebe
Youngser Park
D. Marchette
138
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05 Apr 2019
Asymptotic Theory of Eigenvectors for Random Matrices with Diverging Spikes
Jianqing Fan
Yingying Fan
Xiao Han
Jinchi Lv
172
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19 Feb 2019
Two-sample Test of Community Memberships of Weighted Stochastic Block Models
Yezheng Li
Hongzhe Li
107
17
0
30 Nov 2018
On a 'Two Truths' Phenomenon in Spectral Graph Clustering
Carey E. Priebe
Youngser Park
Joshua T. Vogelstein
John M. Conroy
V. Lyzinski
M. Tang
A. Athreya
Joshua Cape
Eric W. Bridgeford
145
76
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23 Aug 2018
On spectral embedding performance and elucidating network structure in stochastic block model graphs
Joshua Cape
M. Tang
Carey E. Priebe
89
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0
14 Aug 2018
Consistent polynomial-time unseeded graph matching for Lipschitz graphons
Yuan Zhang
84
4
0
29 Jul 2018
Out-of-sample extension of graph adjacency spectral embedding
Keith D. Levin
Farbod Roosta-Khorasani
Michael W. Mahoney
Carey E. Priebe
62
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0
17 Feb 2018
Signal-plus-noise matrix models: eigenvector deviations and fluctuations
Joshua Cape
M. Tang
Carey E. Priebe
276
53
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01 Feb 2018
A statistical interpretation of spectral embedding: the generalised random dot product graph
Patrick Rubin-Delanchy
Joshua Cape
M. Tang
Carey E. Priebe
311
143
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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
237
265
0
16 Sep 2017
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