157 citations · 252 across the 26 of their papers we have counts for
3 papers · 1 filter
Multiple testing with persistent homology
Mikael Vejdemo-Johansson, Sayan Mukherjee
In this paper we propose a computationally efficient multiple hypothesis testing procedure for persistent homology. The computational efficiency of our procedure is based on the ob…
Certified Mapper: Repeated testing for acyclicity and obstructions to the nerve lemma
Mikael Vejdemo-Johansson, Alisa Leshchenko
The Mapper algorithm does not include a check for whether the cover produced conforms to the requirements of the nerve lemma. To perform a check for obstructions to the nerve lemma…
Fibres of Failure: Classifying errors in predictive processes
Leo Carlsson, Gunnar Carlsson, Mikael Vejdemo-Johansson
We describe Fibres of Failure (FiFa), a method to classify failure modes of predictive processes using the Mapper algorithm from Topological Data Analysis. Our method uses Mapper t…