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Activity Number:
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45
- Emerging Methods for Network Testing and Related Problems
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Type:
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Invited
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Date/Time:
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Sunday, July 28, 2019 : 4:00 PM to 5:50 PM
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Sponsor:
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IMS
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Abstract #300108
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Presentation
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Title:
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Goodness-of-Fit Tests for 3 Variants of the Stochastic Block Model
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Author(s):
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Vishesh Karwa and Debdeep Pati and Sonja Petrovic* and Liam Solus and Mateja Raic and Dane Wilburne and Nikita Alexeev and Robert Williams and Bowei Yan
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Companies:
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Temple University and Texas A&M University and Illinois Institute of Technology and KTH, Sweden and University of Illinois at Chicago and ICERM, Brown University and unknown and Texas A&M University and University of Texas
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Keywords:
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testing model fit;
latent variables;
stochastic blockmodel
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Abstract:
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Stochastic block models (SBMs) with unknown block structure are widely used in analysis of real-world network data. Testing goodness of fit of such models is an important practical question. We develop finite-sample goodness-of-fit tests for three different variants of SBMs with unknown block assignments. The main building block for the goodness-of-fit test is an exact test for SBM with observed block assignment, which is implemented using tools from algebraic statistics. The methodology extends to any mixture of log-linear models on discrete data.
The talk will discuss the basics of the test setup, formal proofs of validity, and showcase some test power simulations.
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Authors who are presenting talks have a * after their name.
