Incremental algorithms for approximate compilation

  • Authors:
  • Alberto Venturini;Gregory Provan

  • Affiliations:
  • Department of Computer Science, University College Cork, Cork, Ireland;Department of Computer Science, University College Cork, Cork, Ireland

  • Venue:
  • AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 3
  • Year:
  • 2008

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Abstract

Compilation is an important approach to a range of inference problems, since it enables linear-time inference in the size S of the compiled representation. However, the main drawback is that S can be exponentially larger than the size of the original function. To address this issue, we propose an incremental, approximate compilation technique that guarantees a sound and space-bounded compilation for weighted boolean functions, at the expense of query completeness. In particular, our approach selectively compiles all solutions exceeding a particular threshold, given a range of weighting functions, without having to perform inference over the full solution-space. We describe incremental, approximate algorithms for the prime implicant and DNNF compilation languages, and provide empirical evidence that these algorithms enable space reductions of several orders-of-magnitude over the full compilation, while losing relatively little query completeness.