Relative Optimality Conditions and Algorithms for Treespace Fréchet Means

DOI10.1137/15M1050914zbMath1395.90239arXiv1411.2923OpenAlexW2963237466MaRDI QIDQ4637500

Sean Skwerer, Scott Provan, James Stephen Marron

Publication date: 24 April 2018

Published in: SIAM Journal on Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.2923

zbMATH Keywords

combinatoricsoptimizationnonlineartreesphylogeneticscubical complexes

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Programming in abstract spaces (90C48)

Related Items (4)

Old and new challenges in Hadamard spaces ⋮ Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace ⋮ Relative Optimality Conditions and Algorithms for Treespace Fréchet Means ⋮ Uncertainty in Phylogenetic Tree Estimates

Uses Software

• BUCKy

Cites Work

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• Statistics for phylogenetic trees
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• Computing Medians and Means in Hadamard Spaces
• Monotone vector fields and the proximal point algorithm on Hadamard manifolds
• Monotone Operators and the Proximal Point Algorithm
• Relative Optimality Conditions and Algorithms for Treespace Fréchet Means

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