Skip to main content

Probabilistic Nogood Store as a Heuristic

  • Conference paper
Book cover PRICAI 2008: Trends in Artificial Intelligence (PRICAI 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5351))

Included in the following conference series:

  • 1327 Accesses

Abstract

Nogood stores are frequently used to avoid revisiting states that were previously discovered to be inconsistent. In this paper we consider the usefulness of learned nogoods as a heuristic to guide search. In particular, we look at learning nogoods probabilistically and examine heuristic utility of such nogoods. We define how probabilistic nogoods can be derived from real nogoods and then introduce an approximate implementation. This implementation is used to compare behavior of heuristics using classic nogoods and then probabilistic nogoods on random binary CSPs and QWH problems. Empirical results show improvement in both problem domains over original heuristics.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Boussemart, F., Hemery, F., Lecoutre, C., Sais, L.: Boosting systematic search by weighting constraints. In: ECAI, pp. 146–150 (2004)

    Google Scholar 

  2. Cambazard, H., Jussien, N.: Identifying and exploiting problem structures using explanation-based constraint programming. Constraints 11(4), 295–313 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gent, I., MacIntyre, E., Prosser, P., Smith, B., Walsh, T.: Random constraint satisfaction: Flaws and structure (1998)

    Google Scholar 

  4. Gomes, C.P., Shmoys, D.: Completing quasigroups or latin squares: A structured graph coloring problem. In: Proc. Computational Symposium on Graph Coloring and Generalizations (2002)

    Google Scholar 

  5. Haralick, R.M., Elliott, G.L.: Increasing tree search efficiency for constraint satisfaction problems. Artif. Intell. 14(3), 263–313 (1980)

    Article  Google Scholar 

  6. Horsch, M.C., Havens, W.S.: Probabilistic arc consistency: A connection between constraint reasoning and probabilistic reasoning. In: UAI 2000: Proceedings of the 16th Conference on Uncertainty in Artificial Intelligence, pp. 282–290. Morgan Kaufmann Publishers Inc., San Francisco (2000)

    Google Scholar 

  7. Katsirelos, G., Bacchus, F.: Unrestricted nogood recording in csp search (2003)

    Google Scholar 

  8. Moskewicz, M.W., Madigan, C.F., Zhao, Y., Zhang, L., Malik, S.: Chaff: Engineering an Efficient SAT Solver. In: Proceedings of the 38th Design Automation Conference, DAC 2001 (2001)

    Google Scholar 

  9. Pearl, J.: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, San Francisco (1988)

    MATH  Google Scholar 

  10. Prosser, P.: MAC-CBJ: maintaining arc consistency with conflict-directed backjumping. Technical Report Research Report/95/177, Dept. of Computer Science, University of Strathclyde (1995)

    Google Scholar 

  11. Prosser, P.: Hybrid algorithms for the constraint satisfaction problem. Computational Intelligence 9(3), 268–299 (1993)

    Article  Google Scholar 

  12. Refalo, P.: Impact-based search strategies for constraint programming. In: Wallace, M. (ed.) CP 2004. LNCS, vol. 3258, pp. 557–571. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  13. Sussman, G.J., Stallman, R.M.: Forward reasoning and dependency directed backtracking in a system for computer aided circuit analysis. Artificial Intelligence 9, 135–196 (1977)

    Article  MATH  Google Scholar 

  14. Vernooy, M., Havens, W.S.: An examination of probabilistic value-ordering heuristics. In: Australian Joint Conference on Artificial Intelligence, pp. 340–352 (1999)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Missine, A., Havens, W.S. (2008). Probabilistic Nogood Store as a Heuristic. In: Ho, TB., Zhou, ZH. (eds) PRICAI 2008: Trends in Artificial Intelligence. PRICAI 2008. Lecture Notes in Computer Science(), vol 5351. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-89197-0_71

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-89197-0_71

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-89196-3

  • Online ISBN: 978-3-540-89197-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics