Show simple item record

dc.contributor.authorSinnott, Steven
dc.identifier.otherbibid: 6475855
dc.description.abstractThis 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.en_US
dc.format.extent1767905 bytes
dc.subjectcomputational algebraen_US
dc.subjectbayesian networksen_US
dc.subjectalgebraic geometryen_US
dc.subjectdeterminantal idealsen_US
dc.titleResults in Computational Algebra of Bayesian Networksen_US
dc.typedissertation or thesisen_US

Files in this item


This item appears in the following Collection(s)

Show simple item record