Geometry of Rank Tests Fundamentals for Finding Somitogenesis Clock Genes Jason Morton, Lior...
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Transcript of Geometry of Rank Tests Fundamentals for Finding Somitogenesis Clock Genes Jason Morton, Lior...
Geometry of Rank TestsFundamentals for Finding Somitogenesis Clock Genes
Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand
Department of Mathematics, UC Berkeley
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Mary-Lee DequéantOlivier Pourquié
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From Willbrand et al., 2005
Rank Tests
A rank test is a map
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123 132
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A set of conditional independence triples is a semi-graphoid if the following axiom holds:
Theorem: The map is a bijection between convex rank tests and semi-graphoids. 123 132
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Graphical Models = Graph Associahedra
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Thanks again to Profs. Strømme, Ranestad, Rudakov and Smaløe.