Institute of Information Theory and Automation

Details of the defence

Type of the defence: Ph.D.
Name: Václav Kratochvíl
Name of the thesis: Probabilistic Compositional Models: solution of an equivalence problem
Abstract:An integral part of the work with multidimensional probabilistic models, and in particular their learning, is the perfect knowledge of the conditional independence relations of the model. The knowledge of conditional independence relations is understood here as a list of conditional independence relations valid for the model and induced by its structure. However, the representation these relations by such a structure is imperfect - two or more structures may represent the same independence relations - they are equivalent. The equivalence problem can be summed up in the following three questions: (i) how can we recognize whether two structures represent the same set of independence relations; (ii) how can we transform any one structure into another equivalent one in terms of some elementary operations; and (iii) can we generate all structures equivalent with a given one? This thesis presents the complete solution to equivalence problem. We illustrated its usage and, above that, we found a unique representative of a class of equivalent structures.
Supervisor:Prof. Radim Jiroušek DrSc.
Date and time of the defence: 14:30, 24.02. 2012
Venue: místnost č 112, Trojanova 13, Praha 2
Date of record: 7.3. 2012
Statute: obhájeno


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Last modification: 16.10.2012
Institute of Information Theory and Automation