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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

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* 25 pages; 7 figures 

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The eigenvalues of stochastic blockmodel graphs


Mar 30, 2018
Minh Tang

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* 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

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* 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

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* 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

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* 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

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* 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

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* 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

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

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