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Graphical inequality diagnostics for phylogenetic trees
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Shiers, N. L. and Smith, J. Q. (2012) Graphical inequality diagnostics for phylogenetic trees. In: 6th European Workshop on Probabilistic Graphical Models, PGM 2012, Granada, Spain, 19-21 Sept 2012. Published in: Proceedings of the 6th European Workshop on Probabilistic Graphical Models, PGM 2012 ISBN 9788415536574.
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Abstract
Phylogenetic trees can be studied as discrete graphical models with interior vertices hidden and leaves observed. In the case of binary random variables it has long been known that this class of models constrains the parameter space of the leaf margin. However, it was only last year that the inequality constraints were fully characterised for binary phylogenetic trees. The inferential consequences of these implicit inequality constraints have so far attracted little attention. However, this paper uses a subset of these constraints to demonstrate their usefulness as simple and transparent diagnostics that can be used at the preliminary stages of a phylogenetic analysis, not only to check whether any phylogenetic model is consistent with the data but also to guide the ensuing inference.
Item Type: | Conference Item (Paper) | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Journal or Publication Title: | Proceedings of the 6th European Workshop on Probabilistic Graphical Models, PGM 2012 | ||||
Publisher: | DECSAI, University of Granada | ||||
ISBN: | 9788415536574 | ||||
Official Date: | 2012 | ||||
Dates: |
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Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | 6th European Workshop on Probabilistic Graphical Models, PGM 2012 | ||||
Type of Event: | Workshop | ||||
Location of Event: | Granada, Spain | ||||
Date(s) of Event: | 19-21 Sept 2012 | ||||
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