Minimal unimodal decomposition on trees

Yuliy Baryshnikov, Robert Ghrist

Research output: Contribution to journalArticle

Abstract

The decomposition of a density function on a domain into a minimal sum of unimodal components is a fundamental problem in statistics, leading to the topological invariant of unimodal category of a density. This paper gives an efficient algorithm for the construction of a minimal unimodal decomposition of a tame density function on a finite metric tree.
Original languageEnglish (US)
Pages (from-to)199-209
Number of pages11
Journal Journal of Applied and Computational Topology
Volume4
Issue number2
DOIs
StatePublished - Jun 2020

Keywords

  • Unimodal decomposition
  • Unimodal category
  • Topological data analysis

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