Certified Mapper: Repeated testing for acyclicity and obstructions to the nerve lemma

29 Aug 2018Mikael Vejdemo-JohanssonAlisa 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, statistical considerations of multiple testing quickly arise... (read more)

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