Tropical support vector machine and its applications to phylogenomics

DOI10.2140/ASTAT.2023.14.133MaRDI QIDQ6578641

Houjie Wang, Ruriko Yoshida, Xiaoxian Tang

Publication date: 25 July 2024

Published in: Algebraic Statistics (Search for Journal in Brave)

zbMATH Keywords

linear programmingsupervised learningphylogenetic treetropical geometrynon-Euclidean data

Mathematics Subject Classification ID

Taxonomy, cladistics, statistics in mathematical biology (92B10) Applications of tropical geometry (14T90) Statistics on algebraic and topological structures (62Rxx) Tropical optimization (e.g., max-plus optimization) (90C24)

Cites Work

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• Geometry of the space of phylogenetic trees
• Tropical principal component analysis and its application to phylogenetics
• Tropical optimal transport and Wasserstein distances
• An Introduction to Statistical Learning
• Essentials of Tropical Combinatorics
• Convexity in Tree Spaces
• Principal component analysis and the locus of the Fréchet mean in the space of phylogenetic trees
• Tropical Support Vector Machines: Evaluations and Extension to Function Spaces

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