L-Infinity Optimization to Bergman Fans of Matroids with an Application to Phylogenetics
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Publication:5220412
DOI10.1137/18M1218741zbMath1439.14181arXiv1702.05141OpenAlexW3010934897WikidataQ114074282 ScholiaQ114074282MaRDI QIDQ5220412
Publication date: 20 March 2020
Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.05141
Problems related to evolution (92D15) Combinatorial aspects of tropical varieties (14T15) Combinatorial aspects of matroids and geometric lattices (05B35) Applications of tropical geometry (14T90)
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Tropical geometric variation of tree shapes ⋮ Extreme rays of the \(\ell^\infty\)-nearest ultrametric tropical polytope ⋮ Tropical Linear Regression and Mean Payoff Games: Or, How to Measure the Distance to Equilibria ⋮ New Gromov-inspired metrics on phylogenetic tree space
Cites Work
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- Minimal half-spaces and external representation of tropical polyhedra
- Best approximation in max-plus semimodules
- Matroid polytopes, nested sets and Bergman fans
- The Minkowski theorem for max-plus convex sets
- Generators, extremals and bases of max cones
- \(l_\infty\)-approximation via subdominants.
- Geometry of the space of phylogenetic trees
- Tropical principal component analysis and its application to phylogenetics
- Subdominant matroid ultrametrics
- Tropical convexity
- Extreme rays of the \(\ell^\infty\)-nearest ultrametric tropical polytope
- The Bergman complex of a matroid and phylogenetic trees
- Tropical Fermat--Weber Points
- The tropical Grassmannian
- A robust model for finding optimal evolutionary trees
- L-Infinity Optimization to Linear Spaces and Phylogenetic Trees
- Convexity in Tree Spaces
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