Generalizing Version Spaces

  • Authors:
  • Haym Hirsh

  • Affiliations:
  • Department of Computer Science, Rutgers University, New Brunswick, NJ 08903. hirsh@cs.rutgers.edu

  • Venue:
  • Machine Learning
  • Year:
  • 1994

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Abstract

Although a landmark work, version spaces have proven fundamentally limited by being constrained to only consider candidate classifiers that are strictly consistent with data. This work generalizes version spaces to partially overcome this limitation. The main insight underlying this work is to base learning on version-space intersection, rather than the traditional candidate-elimination algorithm. The resulting learning algorithm, incremental version-space merging (IVSM), allows version spaces to contain arbitrary sets of classifiers, however generated, as long as they can be represented by boundary sets. This extends version spaces by increasing the range of information that can be used in learning; in particular, this paper describes how three examples of very different types of information—ambiguous data, inconsistent data, and background domain theories as traditionally used by explanation-based learning—can each be used by the new version-space approach.