AAAI Publications, Twenty-Ninth AAAI Conference on Artificial Intelligence

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Bayesian Networks Specified Using Propositional and Relational Constructs: Combined, Data, and Domain Complexity
Fabio Gagliardi Cozman, Denis Deratani Maua

Last modified: 2015-03-04


We examine the inferential complexity of Bayesian networks specified through logical constructs. We first consider simple propositional languages, and then move to relational languages. We examine both the combined complexity of inference (as network size and evidence size are not bounded) and the data complexity of inference (where network size is bounded); we also examine the connection to liftability through domain complexity. Combined and data complexity of several inference problems are presented, ranging from polynomial to exponential classes.


Bayesian networks; relational Bayesian networks; complexity theory

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