Hit and Run Sampling from Tropically Convex Sets

DOI10.48550/arXiv.2209.15045arXiv2209.15045MaRDI QIDQ5978962

David Barnhill, Keiji Miura, Ruriko Yoshida, David Barnhill, Ruriko Yoshida, Keiji Miura

Publication date: 29 September 2022

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

Full work available at URL: https://arxiv.org/abs/2209.15045

zbMATH Keywords

Markov chain Monte Carlotropical geometrytropical convexityhit and run sampling

Mathematics Subject Classification ID

Statistical sampling theory and related topics (62D99) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Statistics on algebraic and topological structures (62Rxx)

Related Items (1)

TML

Cites Work

• Unnamed Item
• Unnamed Item
• A practical volume algorithm
• A note on the metric properties of trees
• Tropical convexity
• Hit-and-run mixes fast
• Multivariate volume, Ehrhart, and \(h^\ast \)-polynomials of polytropes
• Tropical Ehrhart theory and tropical volume
• The Bergman complex of a matroid and phylogenetic trees
• Analysis of Phylogenetics and Evolution with R
• Efficient Monte Carlo Procedures for Generating Points Uniformly Distributed over Bounded Regions
• Tropical and ordinary convexity combined
• Convergence properties of hit–and–run samplers
• Essentials of Tropical Combinatorics
• Hit-and-Run from a Corner
• On the Computation of Multidimensional Integrals by the Monte-Carlo Method
• Approximating the volume of tropical polytopes is difficult

This page was built for publication: Hit and Run Sampling from Tropically Convex Sets