The disentangling number for phylogenetic mixtures

TL;DR

This paper establishes a logarithmic upper bound for the disentangling number in phylogenetic mixture models, aiding in the analysis of complex evolutionary data through a novel interpretation of tree multisets as high-dimensional tables.

Contribution

It introduces a new logarithmic bound for the disentangling number, enhancing understanding of phylogenetic mixture models with a multiset-to-table interpretation.

Findings

Logarithmic upper bound for the disentangling number

Application to phylogenetic mixture models

Novel interpretation of tree multisets as contingency tables

Abstract

We provide a logarithmic upper bound for the disentangling number on unordered lists of leaf labeled trees. This results is useful for analyzing phylogenetic mixture models. The proof depends on interpreting multisets of trees as high dimensional contingency tables.