Multiple Hypothesis Testing with Persistent Homology

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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Cite

Text

Vejdemo-Johansson and Mukherjee. "Multiple Hypothesis Testing with Persistent Homology." NeurIPS 2020 Workshops: TDA_and_Beyond, 2020.

Markdown

[Vejdemo-Johansson and Mukherjee. "Multiple Hypothesis Testing with Persistent Homology." NeurIPS 2020 Workshops: TDA_and_Beyond, 2020.](https://mlanthology.org/neuripsw/2020/vejdemojohansson2020neuripsw-multiple/)

BibTeX

@inproceedings{vejdemojohansson2020neuripsw-multiple,
  title     = {{Multiple Hypothesis Testing with Persistent Homology}},
  author    = {Vejdemo-Johansson, Mikael and Mukherjee, Sayan},
  booktitle = {NeurIPS 2020 Workshops: TDA_and_Beyond},
  year      = {2020},
  url       = {https://mlanthology.org/neuripsw/2020/vejdemojohansson2020neuripsw-multiple/}
}