Optimal Time-Space Tradeoff in Probabilistic Inference

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Optimal Time-Space Tradeoff in Probabilistic Inference
Recursive Conditioning, RC, is an any-space algorithm lor exact inference in Bayesian networks, which can trade space for time in increments of the size of a floating point number. This smooth tradeoff' is possible by varying the algorithm's cache size. When RC is run with a constrained cache size, an important problem arises: Which specific results should be cached in order to minimize the running time of the algorithm? RC is driven by a structure known as a dtree, and many such dtrees exist for a given Bayesian network. In this paper, we examine the problem of searching for an optimal caching scheme for a given dtree, and present some optimal time-space tradeoff curves for given dtrees of several published Bayesian networks. We also compare these curves to the memory requirements of state-of-the-art algorithms based on jointrees. Our results show that the memory requirements of these networks can be significantly reduced with only a minimal cost in time, allowing for exact...
David Allen, Adnan Darwiche
Added 31 Oct 2010
Updated 31 Oct 2010
Type Conference
Year 2003
Authors David Allen, Adnan Darwiche
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