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



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



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



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



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



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



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



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



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



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

* 24 pages, 2 figures 

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