Skip to main content

A Method for Predicting Solutions in Case-Based Problem Solving

  • Conference paper
  • First Online:
Advances in Case-Based Reasoning (EWCBR 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1898))

Included in the following conference series:

Abstract

In order to predict the solution to a new problem we proceed from the “similar problem-similar solution” assumption underlying case-based reasoning. The concept of a similarity hypothesis is introduced as a formal model of this meta-heuristic. It allows for realizing a constraint-based inference scheme which derives a prediction in the form of a set of possible candidates. We propose an algorithm for learning a suitable similarity hypothesis from a sequence of observations. Basing the inference process on hypotheses thus defined yields (set-valued) predictions that cover the true solution with high probability. Our method is meant to support the overall (case-based) problem solving process by bringing a promising set of possible solutions into focus.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. A. Aamodt and E. Plaza. Case-based reasoning: Foundational issues, methodological variations, and system approaches. AI Communications, 7(1):39–59, 1994.

    Google Scholar 

  2. D. W. Aha, (nt(editor)). Lazy Learning. Kluwer Academic Publ., 1997.

    Google Scholar 

  3. D. W. Aha, D. Kibler, and M. K. Albert. Instance-based learning algorithms. Machine Learning, 6(1):37–66, 1991.

    Google Scholar 

  4. B. V. Dasarathy, (nt(editor)). Nearest Neighbor (NN) Norms: NN Pattern Classification Techniques. IEEE Computer Society Press, Los Alamitos, California, 1991.

    Google Scholar 

  5. D. Dubois, F. Esteva, P. Garcia, L. Godo, R. Lopez de Mantaras, and H. Prade. Fuzzy set modelling in case-based reasoning. Int. J. Intelligent Systems, 13:345–373, 1998.

    Article  MATH  Google Scholar 

  6. F. Esteva, P. Garcia, L. Godo, and R. Rodriguez. A modal account of similarity-based reasoning. Int. J. Approximate Reasoning, 16:235–260, 1997.

    Article  MATH  MathSciNet  Google Scholar 

  7. B. Faltings. Probabilistic indexing for case-based prediction. Proceedings ICCBR-97, pages 611–622. Springer-Verlag, 1997.

    Google Scholar 

  8. E. Hüllermeier. Similarity-based inference as constraint-based reasoning: Learning similarity hypotheses. Technical Report 64, Department of Economics, University of Paderborn, September 1999.

    Google Scholar 

  9. E. Hüllermeier. Toward a probabilistic formalization of case-based inference. In Proc. IJCAI-99, pages 248–253, Stockholm, Sweden, July/August 1999.

    Google Scholar 

  10. D. Kibler and D. W. Aha. Instance-based prediction of real-valued attributes. Computational Intelligence, 5:51–57, 1989.

    Article  Google Scholar 

  11. G. J. Klir and M. J. Wierman. Uncertainty-Based Information. Physica-Verlag, Heidelberg, 1998.

    MATH  Google Scholar 

  12. J. L. Kolodner. Case-based Reasoning. Morgan Kaufmann, San Mateo, 1993.

    Google Scholar 

  13. T. M. Michell. Version spaces: A candidate elimination approach to rule learning. In Proceedings IJCAI-77, pages 305–310, 1977.

    Google Scholar 

  14. E. Plaza, F. Esteva, P. Garcia, L. Godo, and R. Lopez de Mantaras. A logical approach to case-based reasoning using fuzzy similarity relations. Journal of Information Sciences, 106:105–122, 1998.

    Article  MATH  Google Scholar 

  15. C. Reiser and H. Kaindl. Case-based reasoning for multi-step problems and its integration with heuristic search. Proc. EWCBR-94, pages 113–125, 1994.

    Google Scholar 

  16. R. Short and K. Fukunaga. The optimal distance measure for nearest neighbor classification. IEEE Transactions on Information Theory, 27:622–627, 1981.

    Article  MATH  MathSciNet  Google Scholar 

  17. B. Smyth and P. Cunningham. The utility problem analysed. Proc. EWCBR-96, pages 392–399. Springer-Verlag, 1996.

    Google Scholar 

  18. B. Smyth and E. McKenna. Building compact competent case-bases. Proc. ICCBR-99, pages 329–342, 1999.

    Google Scholar 

  19. S. Smyth and T. Keane. Remembering to forget. Proc. IJCAI-95, pages 377–382, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hüllermeier, E. (2000). A Method for Predicting Solutions in Case-Based Problem Solving. In: Blanzieri, E., Portinale, L. (eds) Advances in Case-Based Reasoning. EWCBR 2000. Lecture Notes in Computer Science, vol 1898. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44527-7_12

Download citation

  • DOI: https://doi.org/10.1007/3-540-44527-7_12

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67933-2

  • Online ISBN: 978-3-540-44527-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics