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Query: faculty: "FNWI" and publication year: "2011"

AuthorsR.L. Cilibrasi, P.M.B. Vitányi
TitleA Fast Quartet tree heuristic for hierarchical clustering
JournalPattern Recognition
Volume44
Year2011
Issue3
Pages662-677
ISSN00313203
FacultyFaculty of Science
Institute/dept.FNWI: Institute for Logic, Language and Computation (ILLC)
AbstractThe Minimum Quartet Tree Cost problem is to construct an optimal weight tree from the View the MathML source weighted quartet topologies on n objects, where optimality means that the summed weight of the embedded quartet topologies is optimal (so it can be the case that the optimal tree embeds all quartets as nonoptimal topologies). We present a Monte Carlo heuristic, based on randomized hill-climbing, for approximating the optimal weight tree, given the quartet topology weights. The method repeatedly transforms a dendrogram, with all objects involved as leaves, achieving a monotonic approximation to the exact single globally optimal tree. The problem and the solution heuristic has been extensively used for general hierarchical clustering of nontree-like (non-phylogeny) data in various domains and across domains with heterogeneous data. We also present a greatly improved heuristic, reducing the running time by a factor of order a thousand to ten thousand. All this is implemented and available, as part of the CompLearn package. We compare performance and running time of the original and improved versions with those of UPGMA, BioNJ, and NJ, as implemented in the SplitsTree package on genomic data for which the latter are optimized.
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