Multiple Hypothesis Testing with Persistent HomologyDownload PDF

Oct 10, 2020 (edited Dec 02, 2020)NeurIPS 2020 Workshop TDA and Beyond Blind SubmissionReaders: Everyone
  • Keywords: multiple hypothesis testing, persistent homology, fwer correction
  • TL;DR: We describe a way to do one-sample persistent homology hypothesis testing with multiple hypothesis correction.
  • Abstract: Multiple hypothesis testing requires a control procedure. Simply increasing simulations or permutations to meet a Bonferroni-style threshold is prohibitively expensive. In this paper we propose a null model based approach to testing for acyclicity, coupled with a Family-Wise Error Rate (FWER) control method that does not suffer from these computational costs.
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