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dc.contributor.authorSinnott, Steven
dc.date.accessioned2006-07-27T12:35:34Z
dc.date.available2006-07-27T12:35:34Z
dc.date.issued2006-07-27T12:35:34Z
dc.identifier.otherbibid: 6475855
dc.identifier.urihttps://hdl.handle.net/1813/3364
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.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
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


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