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Geometry of Rank Tests Fundamentals for Finding Somitogenesis Clock Genes Jason Morton, Lior Pachter, Anne Shiu, Bernd S

Geometry of Rank Tests Fundamentals for Finding Somitogenesis Clock Genes Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand Department of Mathematics, UC Berkeley. Mary-Lee Dequéant Olivier Pourquié. Rank Tests. A rank test is a map. From Willbrand et al., 2005. 123.

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Geometry of Rank Tests Fundamentals for Finding Somitogenesis Clock Genes Jason Morton, Lior Pachter, Anne Shiu, Bernd S

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  1. Geometry of Rank Tests Fundamentals for Finding Somitogenesis Clock Genes Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand Department of Mathematics, UC Berkeley Mary-Lee Dequéant Olivier Pourquié

  2. Rank Tests A rank test is a map From Willbrand et al., 2005

  3. 123 132 -- -+ 312 213 +- ++ 231 321

  4. 123 132 -- -+ 312 213 +- ++ 231 321

  5. Graphical Models

  6. 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 -- -+ 312 213 +- ++ 231 321

  7. Graphical Models = Graph Associahedra

  8. Thanks again to Profs. Strømme, Ranestad, Rudakov and Smaløe.

  9. Thanks again to Profs. Strømme, Ranestad, Rudakov and Smaløe.

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