Tropical Geometry of Phylogenetic Tree Space A Statistical Perspective
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Authors
Monod, Anthea
Lin, Bo
Yoshida, Ruriko
Kang, Qiwen
Subjects
BHV tree space
phylogenetic trees
tropical geometry
tropical line segment
tropical metric
phylogenetic trees
tropical geometry
tropical line segment
tropical metric
Advisors
Date of Issue
2018
Date
2018
Publisher
ArXiv
Language
Abstract
Phylogenetic trees are the fundamental mathematical representation of evolutionary processes in biology. As data objects, they are characterized by the challenges associated with “big data,” as well as the complication that their discrete geometric structure results in a non-Euclidean phylogenetic tree space, which poses com- putational and statistical limitations. We propose and study a novel framework based on tropical geometry and discuss its implications in the statistical analysis of evolutionary biological processes represented by phylogenetic trees. Our setting exhibits analytic, geometric, and topological properties that are desirable for theoretical studies in probability and statistics, as well as increased computational efficiency over the current state-of-the-art. We demonstrate our approach on seasonal influenza data.
Type
Preprint
Description
Series/Report No
Department
Operations Research (OR)
Organization
Identifiers
NPS Report Number
Sponsors
Funder
Format
46 p.
Citation
Monod, Anthea, et al. "Tropical Geometry of Phylogenetic Tree Space: A Statistical Perspective." arXiv (2018): arXiv-1805.
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.