Date post: | 21-Dec-2015 |
Category: |
Documents |
View: | 216 times |
Download: | 0 times |
Geometry of Rank TestsFundamentals for Finding Somitogenesis Clock Genes
Jason Morton, Lior Pachter, Anne Shiu, Bernd Sturmfels, Oliver Wienand
Department of Mathematics, UC Berkeley
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
Mary-Lee DequéantOlivier Pourquié
QuickTime™ and aTIFF (Uncompressed) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
From Willbrand et al., 2005
Rank Tests
A rank test is a map
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
123 132
213
231 321
312
+-
--
++
-+
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
123 132
213
231 321
312
+-
--
++
-+
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
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
213
231 321
312
+-
--
++
-+
Graphical Models = Graph Associahedra
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.QuickTime™ and a
TIFF (LZW) decompressorare needed to see this picture.
QuickTime™ and aTIFF (Uncompressed) decompressor
are needed to see this picture.
Thanks again to Profs. Strømme, Ranestad, Rudakov and Smaløe.