researchseminars.org

Rick Jardine (Western University)
2022-03-21 13:30 - 14:30 UTC | https://researchseminars.org/talk/BilTop/40/
Title: UMAP for the working mathematician (https://researchseminars.org/talk/BilTop/40/)
by Rick Jardine (Western University) as part of Bilkent Topology Seminar

Lecture held in SB-Z11.

Abstract
The Healy-McInnes UMAP algorithm is a highly successful clustering tool that involves interesting ideas from mathematics and data science:

1) Spivak's theory of extended pseudo metric spaces (ep-metric spaces)
2) TDA constructions in ep-metric spaces
3) weighted graphs
4) classical dimension reduction
5) graph optimization: fuzzy sets, cross entropy

I will explain the algorithm from a mathematical point of view.
