FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2963866845> ?p ?o ?g. }

• W2963866845 endingPage "922" @default.
• W2963866845 startingPage "901" @default.
• W2963866845 abstract "Evolutionary relationships are represented by phylogenetic trees, and a phylogenetic analysis of gene sequences typically produces a collection of these trees, one for each gene in the analysis. Analysis of samples of trees is difficult due to the multi-dimensionality of the space of possible trees. In Euclidean spaces, principal component analysis is a popular method of reducing high-dimensional data to a low-dimensional representation that preserves much of the sample's structure. However, the space of all phylogenetic trees on a fixed set of species does not form a Euclidean vector space, and methods adapted to tree space are needed. Previous work introduced the notion of a principal geodesic in this space, analogous to the first principal component. Here we propose a geometric object for tree space similar to the [Formula: see text]th principal component in Euclidean space: the locus of the weighted Fréchet mean of [Formula: see text] vertex trees when the weights vary over the [Formula: see text]-simplex. We establish some basic properties of these objects, in particular showing that they have dimension [Formula: see text], and propose algorithms for projection onto these surfaces and for finding the principal locus associated with a sample of trees. Simulation studies demonstrate that these algorithms perform well, and analyses of two datasets, containing Apicomplexa and African coelacanth genomes respectively, reveal important structure from the second principal components." @default.
• W2963866845 created "2019-07-30" @default.
• W2963866845 creator A5011723492 @default.
• W2963866845 creator A5026106566 @default.
• W2963866845 creator A5079338715 @default.
• W2963866845 creator A5079509519 @default.
• W2963866845 date "2017-09-27" @default.
• W2963866845 modified "2023-10-12" @default.
• W2963866845 title "Principal component analysis and the locus of the Fréchet mean in the space of phylogenetic trees" @default.
• W2963866845 cites W1608072211 @default.
• W2963866845 cites W2009849262 @default.
• W2963866845 cites W2101457141 @default.
• W2963866845 cites W2111303992 @default.
• W2963866845 cites W2117801354 @default.
• W2963866845 cites W2125428755 @default.
• W2963866845 cites W2129682166 @default.
• W2963866845 cites W2139086629 @default.
• W2963866845 cites W2139736670 @default.
• W2963866845 cites W2142999993 @default.
• W2963866845 cites W2145608399 @default.
• W2963866845 cites W2154675536 @default.
• W2963866845 cites W2163627198 @default.
• W2963866845 cites W2195393701 @default.
• W2963866845 cites W2962924242 @default.
• W2963866845 cites W2964029293 @default.
• W2963866845 cites W3098043740 @default.
• W2963866845 cites W3104688568 @default.
• W2963866845 cites W4210633230 @default.
• W2963866845 cites W4210681352 @default.
• W2963866845 cites W4254683450 @default.
• W2963866845 cites W622812032 @default.
• W2963866845 cites W624429971 @default.
• W2963866845 doi "https://doi.org/10.1093/biomet/asx047" @default.
• W2963866845 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/5793493" @default.
• W2963866845 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/29422694" @default.
• W2963866845 hasPublicationYear "2017" @default.
• W2963866845 type Work @default.
• W2963866845 sameAs 2963866845 @default.
• W2963866845 citedByCount "32" @default.
• W2963866845 countsByYear W29638668452016 @default.
• W2963866845 countsByYear W29638668452017 @default.
• W2963866845 countsByYear W29638668452018 @default.
• W2963866845 countsByYear W29638668452019 @default.
• W2963866845 countsByYear W29638668452020 @default.
• W2963866845 countsByYear W29638668452021 @default.
• W2963866845 countsByYear W29638668452022 @default.
• W2963866845 countsByYear W29638668452023 @default.
• W2963866845 crossrefType "journal-article" @default.
• W2963866845 hasAuthorship W2963866845A5011723492 @default.
• W2963866845 hasAuthorship W2963866845A5026106566 @default.
• W2963866845 hasAuthorship W2963866845A5079338715 @default.
• W2963866845 hasAuthorship W2963866845A5079509519 @default.
• W2963866845 hasBestOaLocation W29638668451 @default.
• W2963866845 hasConcept C104317684 @default.
• W2963866845 hasConcept C105795698 @default.
• W2963866845 hasConcept C114614502 @default.
• W2963866845 hasConcept C186450821 @default.
• W2963866845 hasConcept C193252679 @default.
• W2963866845 hasConcept C26619641 @default.
• W2963866845 hasConcept C27438332 @default.
• W2963866845 hasConcept C33923547 @default.
• W2963866845 hasConcept C55493867 @default.
• W2963866845 hasConcept C84597430 @default.
• W2963866845 hasConcept C86803240 @default.
• W2963866845 hasConceptScore W2963866845C104317684 @default.
• W2963866845 hasConceptScore W2963866845C105795698 @default.
• W2963866845 hasConceptScore W2963866845C114614502 @default.
• W2963866845 hasConceptScore W2963866845C186450821 @default.
• W2963866845 hasConceptScore W2963866845C193252679 @default.
• W2963866845 hasConceptScore W2963866845C26619641 @default.
• W2963866845 hasConceptScore W2963866845C27438332 @default.
• W2963866845 hasConceptScore W2963866845C33923547 @default.
• W2963866845 hasConceptScore W2963866845C55493867 @default.
• W2963866845 hasConceptScore W2963866845C84597430 @default.
• W2963866845 hasConceptScore W2963866845C86803240 @default.
• W2963866845 hasFunder F4320307874 @default.
• W2963866845 hasIssue "4" @default.
• W2963866845 hasLocation W29638668451 @default.
• W2963866845 hasLocation W29638668452 @default.
• W2963866845 hasLocation W29638668453 @default.
• W2963866845 hasLocation W29638668454 @default.
• W2963866845 hasLocation W29638668455 @default.
• W2963866845 hasLocation W29638668456 @default.
• W2963866845 hasOpenAccess W2963866845 @default.
• W2963866845 hasPrimaryLocation W29638668451 @default.
• W2963866845 hasRelatedWork W147282674 @default.
• W2963866845 hasRelatedWork W2038264393 @default.
• W2963866845 hasRelatedWork W2101991559 @default.
• W2963866845 hasRelatedWork W2103087796 @default.
• W2963866845 hasRelatedWork W2112400707 @default.
• W2963866845 hasRelatedWork W2132010001 @default.
• W2963866845 hasRelatedWork W2840568513 @default.
• W2963866845 hasRelatedWork W2951650999 @default.
• W2963866845 hasRelatedWork W2963866845 @default.
• W2963866845 hasRelatedWork W4300585845 @default.
• W2963866845 hasVolume "104" @default.
• W2963866845 isParatext "false" @default.
• W2963866845 isRetracted "false" @default.

• next