Steven Sinnott

Steven Sinnott
Ph.D. (2006) Cornell University

First Position

Visiting assistant professor, Cornell University


Results in Computational Algebra of Bayesian Networks


Research Area:
Computational Algebra, Differential Galois Theory

Abstract: This dissertation studies the algebraic varieties arising from the conditional independence statements of Bayesian networks. Reduction techniques are described for relating these varieties to the varieties for smaller Bayesian networks. Particular attention is paid to the issues of primality, dimension, and degree. A classification of 5 node Bayesian networks is given based on whether or not they are prime for all state vectors. A proof of the Degree-2 Conjecture is given for a subclass of Bayesian networks which includes those with binomial global Markov ideal.