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arXiv · 1103.0377

On Properties of the Minimum Entropy Sub-tree to Compute Lower Bounds on the Partition Function

Mehdi Molkaraie·Payam Pakzad
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Abstract

Computing the partition function and the marginals of a global probability distribution are two important issues in any probabilistic inference problem. In a previous work, we presented sub-tree based upper and lower bounds on the partition function of a given probabilistic inference problem. Using the entropies of the sub-trees we proved an inequality that compares the lower bounds obtained from different sub-trees. In this paper we investigate the properties of one specific lower bound, namely the lower bound computed by the minimum entropy sub-tree. We also investigate the relationship between the minimum entropy sub-tree and the sub-tree that gives the best lower bound.

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Mehdi Molkaraie, Payam Pakzad. 2011-03-02. On Properties of the Minimum Entropy Sub-tree to Compute Lower Bounds on the Partition Function. https://arxiv.org/abs/1103.0377

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