Semiring-Based Constraint Acquisition

  • Authors:
  • Xuan-Ha Vu;Barry O'Sullivan

  • Affiliations:
  • -;-

  • Venue:
  • ICTAI '07 Proceedings of the 19th IEEE International Conference on Tools with Artificial Intelligence - Volume 01
  • Year:
  • 2007

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Abstract

Constraint programming offers a declarative approach to solving problems modeled as constraint satisfaction prob- lems (CSPs). However, the precise specification of a set of constraints is sometimes not available, but may have to be learned, for instance, from a set of examples of its solutions and non-solutions. In general, one may wish to learn gen- eralized CSPs involving classical, fuzzy, weighted or prob- abilistic constraints, for example. This paper introduces a unifying framework for CSP learning. The framework is generic in that it can be instantiated to obtain specific for- mulations for learning classical, fuzzy, weighted or prob- abilistic CSPs. In particular, a new formulation for clas- sical CSP learning, which minimizes the number of exam- ples violated by candidate CSPs, is obtained by instantiat- ing the framework. This formulation is equivalent to a sim- ple pseudo-boolean optimization problem, thus being effi- ciently solvable using many optimization tools.