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Activity Number: 223
Type: Topic Contributed
Date/Time: Monday, August 4, 2014 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract #311779 View Presentation
Title: Two-Sample Hypothesis Testing for Random Dot Product Graphs via Adjacency Spectral Embedding
Author(s): Minh Tang*+
Companies:
Keywords: random graphs ; spectral ; two-sample testing
Abstract:

Two-sample hypothesis testing for specific population parameters is a cornerstone of classical statistical inference. Furthermore, there exists a burgeoning literature on techniques for inference on random graphs. We focus on a test for the hypothesis that two finite-dimensional random dot product graphs on the same vertex set, with known vertex correspondence, have the same generating latent positions. We use the adjacency spectral embedding for each graph to construct a valid test that is consistent across a broad class of alternatives


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