Minimal Unimodal Decompositions on Trees

Yuliy Baryshnikov; Robert Ghrist

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arXiv · 1806.09673

Minimal Unimodal Decompositions on Trees

Yuliy Baryshnikov·Robert Ghrist

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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.

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BibTeX RIS

Yuliy Baryshnikov, Robert Ghrist. 2018-06-25. Minimal Unimodal Decompositions on Trees. https://arxiv.org/abs/1806.09673

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