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Popularity Adjusted Block Models are Generalized Random Dot Product Graphs


Sep 09, 2021
John Koo, Minh Tang, Michael W. Trosset

* 33 pages, 7 figures 

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Hypothesis Testing for Equality of Latent Positions in Random Graphs


May 23, 2021
Xinjie Du, Minh Tang

* 67 pages, 3 figures 

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Consistency of random-walk based network embedding algorithms


Jan 18, 2021
Yichi Zhang, Minh Tang


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Learning 1-Dimensional Submanifolds for Subsequent Inference on Random Dot Product Graphs


Apr 17, 2020
Michael W. Trosset, Mingyue Gao, Minh Tang, Carey E. Priebe

* 20 pages 

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On Two Distinct Sources of Nonidentifiability in Latent Position Random Graph Models


Mar 31, 2020
Joshua Agterberg, Minh Tang, Carey E. Priebe


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Limit theorems for out-of-sample extensions of the adjacency and Laplacian spectral embeddings


Sep 29, 2019
Keith Levin, Fred Roosta, Minh Tang, Michael W. Mahoney, Carey E. Priebe

* Portions of this work originally appeared in ICML2018 as "Out-of-sample extension of graph adjacency spectral embedding" (accompanying technical report available at arXiv:1802.06307). This work extends the results of that earlier paper to a second graph embedding technique called the Laplacian spectral embedding and presents additional experiments 

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On a 'Two Truths' Phenomenon in Spectral Graph Clustering


Sep 07, 2018
Carey E. Priebe, Youngser Park, Joshua T. Vogelstein, John M. Conroy, Vince Lyzinski, Minh Tang, Avanti Athreya, Joshua Cape, Eric Bridgeford


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A statistical interpretation of spectral embedding: the generalised random dot product graph


Jul 29, 2018
Patrick Rubin-Delanchy, Carey E. Priebe, Minh Tang, Joshua Cape

* 25 pages; 7 figures 

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The eigenvalues of stochastic blockmodel graphs


Mar 30, 2018
Minh Tang

* 13 pages, 2 figures 

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Linear Optimal Low Rank Projection for High-Dimensional Multi-Class Data


Feb 27, 2018
Joshua T. Vogelstein, Minh Tang, Eric Bridgeford, Da Zheng, Randal Burns, Mauro Maggioni

* 6 figures 

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Statistical inference on random dot product graphs: a survey


Sep 16, 2017
Avanti Athreya, Donniell E. Fishkind, Keith Levin, Vince Lyzinski, Youngser Park, Yichen Qin, Daniel L. Sussman, Minh Tang, Joshua T. Vogelstein, Carey E. Priebe

* Journal of Machine Learning Research, 2018 
* An expository survey paper on a comprehensive paradigm for inference for random dot product graphs, centered on graph adjacency and Laplacian spectral embeddings. Paper outlines requisite background; summarizes theory, methodology, and applications from previous and ongoing work; and closes with a discussion of several open problems 

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Semiparametric spectral modeling of the Drosophila connectome


May 09, 2017
Carey E. Priebe, Youngser Park, Minh Tang, Avanti Athreya, Vince Lyzinski, Joshua T. Vogelstein, Yichen Qin, Ben Cocanougher, Katharina Eichler, Marta Zlatic, Albert Cardona


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Community Detection and Classification in Hierarchical Stochastic Blockmodels


Aug 26, 2016
Vince Lyzinski, Minh Tang, Avanti Athreya, Youngser Park, Carey E. Priebe

* 17 pages, 7 figures 

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Limit theorems for eigenvectors of the normalized Laplacian for random graphs


Jul 28, 2016
Minh Tang, Carey E. Priebe

* 52 pages, 4 figures 

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Empirical Bayes Estimation for the Stochastic Blockmodel


Feb 09, 2016
Shakira Suwan, Dominic S. Lee, Runze Tang, Daniel L. Sussman, Minh Tang, Carey E. Priebe

* to appear at Electronic Journal of Statistics 

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Perfect Clustering for Stochastic Blockmodel Graphs via Adjacency Spectral Embedding


Jan 15, 2015
Vince Lyzinski, Daniel Sussman, Minh Tang, Avanti Athreya, Carey Priebe

* Electronic Journal of Statistics, 8 (2014) 2905--2922 
* 22 pages, including references; 2 figures 

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Statistical inference on errorfully observed graphs


Jul 21, 2014
Carey E. Priebe, Daniel L. Sussman, Minh Tang, Joshua T. Vogelstein

* 30 pages, 8 figures 

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Generalized Canonical Correlation Analysis for Classification


Jun 26, 2014
Cencheng Shen, Ming Sun, Minh Tang, Carey E. Priebe

* Journal of Multivariate Analysis 130 (2014) 310-322 
* 28 pages, 3 figures, 7 tables 

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A central limit theorem for scaled eigenvectors of random dot product graphs


Dec 23, 2013
Avanti Athreya, Vince Lyzinski, David J. Marchette, Carey E. Priebe, Daniel L. Sussman, Minh Tang

* 24 pages, 2 figures 

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Universally consistent vertex classification for latent positions graphs


Aug 13, 2013
Minh Tang, Daniel L. Sussman, Carey E. Priebe

* Annals of Statistics 2013, Vol. 41, No. 3, 1406-1430 
* Published in at http://dx.doi.org/10.1214/13-AOS1112 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of Mathematical Statistics (http://www.imstat.org

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Out-of-sample Extension for Latent Position Graphs


May 21, 2013
Minh Tang, Youngser Park, Carey E. Priebe

* 26 pages 

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On latent position inference from doubly stochastic messaging activities


Apr 25, 2013
Nam H. Lee, Jordan Yoder, Minh Tang, Carey E Priebe


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Generalized Canonical Correlation Analysis for Disparate Data Fusion


Sep 17, 2012
Ming Sun, Carey E. Priebe, Minh Tang


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Universally Consistent Latent Position Estimation and Vertex Classification for Random Dot Product Graphs


Jul 29, 2012
Daniel L. Sussman, Minh Tang, Carey E. Priebe


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A consistent adjacency spectral embedding for stochastic blockmodel graphs


Apr 27, 2012
Daniel L. Sussman, Minh Tang, Donniell E. Fishkind, Carey E. Priebe

* 21 pages 

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