Principal component analysis and the locus of the Frechet mean in the space of phylogenetic trees.

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 f

SUBMITTER: Nye TMW 

PROVIDER: S-EPMC5793493 | biostudies-literature | 2017 Dec

REPOSITORIES: biostudies-literature