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Combining multiple heuristics

Published: 23 February 2006 Publication History

Abstract

In this work we introduce and study the question of combining multiple heuristics. Given a problem instance, each of the multiple heuristics is capable of computing the correct solution, but has a different cost. In our models the user executes multiple heuristics until one of them terminates with a solution. Given a set of problem instances, we show how to efficiently compute an optimal fixed schedule for a constant number of heuristics, and show that in general, the problem is computationally hard even to approximate (to within a constant factor). We also discuss a probabilistic configuration, in which the problem instances are drawn from some unknown fixed distribution, and show how to compute a near optimal schedule for this setup.

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Cited By

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  • (2024)Learning to Branch: Generalization Guarantees and Limits of Data-Independent DiscretizationJournal of the ACM10.1145/363784071:2(1-73)Online publication date: 10-Apr-2024
  • (2010)Algorithm selection as a bandit problem with unbounded lossesProceedings of the 4th international conference on Learning and intelligent optimization10.5555/1893659.1893667(82-96)Online publication date: 18-Jan-2010

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Published In

cover image Guide Proceedings
STACS'06: Proceedings of the 23rd Annual conference on Theoretical Aspects of Computer Science
February 2006
711 pages
ISBN:3540323015
  • Editors:
  • Bruno Durand,
  • Wolfgang Thomas

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Springer-Verlag

Berlin, Heidelberg

Publication History

Published: 23 February 2006

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View all
  • (2024)Learning to Branch: Generalization Guarantees and Limits of Data-Independent DiscretizationJournal of the ACM10.1145/363784071:2(1-73)Online publication date: 10-Apr-2024
  • (2010)Algorithm selection as a bandit problem with unbounded lossesProceedings of the 4th international conference on Learning and intelligent optimization10.5555/1893659.1893667(82-96)Online publication date: 18-Jan-2010

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