Work

Node Splitting: A Scheme for Generating Upper Bounds in Bayesian Networks

Year: 2012
Type: preprint
Abstract: We formulate in this paper the mini-bucket algorithm for approximate inference in terms of exact inference on an approximate model produced by splitting nodes in a Bayesian network. The new formulation leads to a number of theoretical and practical implications. First, we show that branchand- bound search algorithms that use minibucket bounds may operate in a drastically reduced search space. Second, we show that the proposed formulation inspires new minibucket heuristics and allows us to analyze existing heuristics from a new perspective. Finally, we show that this new formulation allows mini-bucket approximations to benefit from recent advances in exact inference, allowing one to significantly increase the reach of these approximations.
Language: English
Open Access status: green
OpenAlex ID: W1640763397
Cites: 21
Cited by: 34
Related to: 20