Work

Comparing Metrics on Arbitrary Spaces using Topological Data Analysis

Year: 2015
Type: preprint
Abstract: We use the notion of topological data analysis to compare metrics on data sets. We provide two different motivating examples for this. The first of these is a point cloud data set that has $\mathbb{R}^2$ as its ambient space, and is therefore very visual. the second deals with a very abstract space which arises through the study of non-transitive dice.
Language: English
Open Access status: green
OpenAlex ID: W1857434669
Cites: 6
Cited by: 2
Related to: 10