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The Importance of Being Correlated: Implications of Dependence in Joint Spectral Inference across Multiple Networks

Aug 01, 2020
Konstantinos Pantazis, Avanti Athreya, William N. Frost, Evan S. Hill, Vince Lyzinski

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On identifying unobserved heterogeneity in stochastic blockmodel graphs with vertex covariates

Jul 04, 2020
Cong Mu, Angelo Mele, Lingxin Hao, Joshua Cape, Avanti Athreya, Carey E. Priebe

* 14 pages, 8 figures 

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Learning to rank via combining representations

May 20, 2020
Hayden S. Helm, Amitabh Basu, Avanti Athreya, Youngser Park, Joshua T. Vogelstein, Michael Winding, Marta Zlatic, Albert Cardona, Patrick Bourke, Jonathan Larson, Chris White, Carey E. Priebe

* 10 pages, 4 figures 

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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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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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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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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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