Abstract Details
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Activity Number:
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64
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Type:
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Topic Contributed
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Date/Time:
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Sunday, August 3, 2014 : 4:00 PM to 5:50 PM
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Sponsor:
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Biometrics Section
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Abstract #312818
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Title:
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A Spectral Approach to Phylogenetic Reconstruction
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Author(s):
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Eric Stone*+
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Companies:
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North Carolina State University
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Keywords:
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phylogenetics ;
distance completion ;
gaussian elimination ;
Schur complement ;
partially-supplied graph ;
Laplacian
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Abstract:
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In this talk, I introduce a graph-theoretical approach to reconstructing phylogenies from distance data. Toward that end, I discuss the use of eigendecomposition to learn about the features of a graph. The graphs I consider are not graphs in the usual sense; rather, they are "graphs" obtained after a subset of vertices have been removed in a prescribed way. For a phylogeny, this subset contains the extinct ancestral taxa for which no data is available. I show how spectral methods can be used to nevertheless ascertain the positions of these taxa on the tree.
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Authors who are presenting talks have a * after their name.
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