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Generation of Random Bayesian Networks with Constraints on Induced Width, with Application to the Average Analysis of d-Connectivity, Quasi-random Sampling, and Loopy Propagation Export

In In Proceedings of the 16th Eureopean Conference on Artificial Intelligence, Vol. 2004 (2004), pp. 323-327.

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We present algorithms for the generation of uniformly distributed Bayesian networks with constraints on induced width. The algorithms use ergodic Markov chains to generate samples, building upon previous algorithms by the authors. The introduction of constraints on induced width leads to more realistic results but requires new techniques. We discuss three applications of randomly generated networks: we study the average number of nodes d-connected to a query, the effectiveness of quasi-random samples in approximate inference, and the convergence of loopy propagation for non-extreme distributions.


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