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.
Previous Submission: Yes