Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace

DOI10.1016/j.aam.2020.102072zbMath1447.62139arXiv1907.05937OpenAlexW3035154543MaRDI QIDQ2197908

Joyce Chiu, Aisha Ashfaq, Olga Anipchenko-Ulaj, Mahedi Kaiser, Katherine St. John, Maria Anaya, Megan Owen, Keith Thompson, Max Shoji Ohsawa, Corrine Yap, Shivam Suleria, Ella Pavlechko

Publication date: 1 September 2020

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05937

zbMATH Keywords

phylogenetic treesFréchet meannon-positively curved spaces

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Genetics and epigenetics (92D10) Probabilistic graphical models (62H22) Statistics on metric spaces (62R20)

Uses Software

• SageMath

Cites Work

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• Central limit theorems for Fréchet means in the space of phylogenetic trees
• Sticky central limit theorems on open books
• Principal components analysis in the space of phylogenetic trees
• Geometry of the space of phylogenetic trees
• On the computational complexity of the rooted subtree prune and regraft distance
• Polyhedral computational geometry for averaging metric phylogenetic trees
• Tree-oriented analysis of brain artery structure
• Sticky central limit theorems at isolated hyperbolic planar singularities
• Computing Medians and Means in Hadamard Spaces
• Computing Geodesic Distances in Tree Space
• Uncertainty in Phylogenetic Tree Estimates
• The logarithm map, its limits and Fréchet means in orthant spaces
• Relative Optimality Conditions and Algorithms for Treespace Fréchet Means
• Principal component analysis and the locus of the Fréchet mean in the space of phylogenetic trees
• Subtree transfer operations and their induced metrics on evolutionary trees

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