Algebraic Geometry of Bayesian Networks

We develop the necessary theory in algebraic geometry to place Bayesian networks into the realm of algebraic statistics. This allows us to create an algebraic geometry--statistics dictionary. In particular, we study the algebraic varieties defined by the conditional independence statements of Bayes...

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Bibliographic Details
Main Author: Garcia-Puente, Luis David
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2011
Subjects:
Online Access:http://hdl.handle.net/10919/11133
http://scholar.lib.vt.edu/theses/available/etd-04162004-172816