Minimal Unimodal Decompositions on Trees
Algebraic Topology
2018-06-27 v1 Statistics Theory
Statistics Theory
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.
Keywords
Cite
@article{arxiv.1806.09673,
title = {Minimal Unimodal Decompositions on Trees},
author = {Yuliy Baryshnikov and Robert Ghrist},
journal= {arXiv preprint arXiv:1806.09673},
year = {2018}
}