Fast Convergence of Markov Chain Monte Carlo Algorithms for Phylogenetic Reconstruction with Homogeneous Data on Closely Related Species

DOI10.1137/100790550zbMath1233.92064OpenAlexW2017223976MaRDI QIDQ3225114

Daniel Štefanković, Eric Vigoda

Publication date: 15 March 2012

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/c3d9fb7db90ad4e773fd812cac6d4a482f10f8d5

zbMATH Keywords

Markov chain Monte Carlomaximum likelihoodphylogenyBayesian inference

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Problems related to evolution (92D15) Applications of graph theory (05C90) Taxonomy, cladistics, statistics in mathematical biology (92B10) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

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An adjacent-swap Markov chain on coalescent trees ⋮ Ricci-Ollivier curvature of the rooted phylogenetic subtree-prune-regraft graph ⋮ Structure and eigenvalues of heat-bath Markov chains ⋮ The combinatorics of discrete time-trees: theory and open problems

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