Comparing Metrics on Arbitrary Spaces using Topological Data Analysis

Scott Balchin; Etienne Pillin

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arXiv · 1503.04619

Comparing Metrics on Arbitrary Spaces using Topological Data Analysis

Scott Balchin·Etienne Pillin

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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.

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BibTeX RIS

Scott Balchin, Etienne Pillin. 2015-03-16. Comparing Metrics on Arbitrary Spaces using Topological Data Analysis. https://arxiv.org/abs/1503.04619

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