Abstract
Case-based reasoning relies on the hypothesis that “similar problems have similar solutions,” which seems to apply, in a certain sense, to a large range of applications. In order to be generally applicable and useful for problem solving, however, this hypothesis and the corresponding process of case-based inference have to be formalized adequately. This paper provides a formalization which makes the “similarity structure” of a system accessible for reasoning and problem solving. A corresponding (constraint-based) approach to case-based inference exploits this structure in a way which allows for deriving a similarity-based prediction of the solution to a target problem in form of a set of possible candidates (supplemented with a level of confidence.)
This work has been supported by a TMR research grant funded by the European Commission.
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References
A. Aamodt and E. Plaza. Case-based reasoning: Foundational issues, methodological variations, and system approaches. AI Communications, 7(1):39–59, 1994.
D. Aha, D. Kibler, and M. K. Albert. Instance-based learning algorithms. Machine Learning, 6(1):37–66, 1991.
D. Dubois, F. Esteva, P. Garcia, L. Godo, R. L. de Mantaras, and H. Prade. Fuzzy set modelling in case-based reasoning. Int. J. Intelligent Systems, 13:345–373, 1998.
D. Dubois, S. Moral, and H. Prade. Belief change rules in ordinal and numerical uncertainty theories. In D. M. Gabbay and P. Smets,editors, Handbook of Defeasible Reasoning and Uncertainty Management Systems, Vol. 3, pages 311–392. Kluwer Academic Publishers, 1998.
I. Durdanovic, H. Kleine Büning, and M. Suermann. New aspects and applications in the field of resource-based configuration. Technical Report tr-rsfb-96-023, Department of Computer Science, University of Paderborn, 1996.
F. Esteva, P. Garcia, L. Godo, and R. Rodriguez. A modal account of similaritybased reasoning. Int. J. Approximate Reasoning, 16:235–260, 1997.
B. Faltings. Probabilistic indexing for case-based prediction. In Proceedings ICCBR-97, pages 611–622. Springer-Verlag, 1997.
E. Hüllermeier. Approximating cost functions in resource-based configuration. Technical Report tr-rsfb-98-060, Department of Computer Science, University of Paderborn, 1998.
E. Hüllermeier. A two-phase search method for solving configuration problems. Technical Report tr-rsfb-98-062, Department of Mathematics and Computer Science, University of Paderborn, October 1998.
E. Hüllermeier. Case-based inference as constraint-based reasoning: Learning similarity hypotheses. Submitted for publication, 1999.
E. Hüllermeier. A probabilistic approach to case-based inference. Technical Report 99-02 R, IRIT, Université Paul Sabatier, January 1999.
E. Hüllermeier. Toward a probabilistic formalization of case-based inference. In Proceedings IJCAI-99, 1999. To appear.
H. Kleine Büning, D. Curatolo, and B. Stein. Configuration based on simplified functional models. Technical Report tr-ri-94-155, Department of Computer Science, University of Paderborn, 1994.
D. R. Kraay and P. T. Harker. Case-based reasoning for repetitive combinatorial optimization problems, part I: Framework. Journal of Heuristics, 2:55–85, 1996.
E. Plaza, F. Esteva, P. Garcia, L. Godo, and R. L. de Mantaras. A logical approach to case-based reasoning using fuzzy similarity relations. Journal of Information Sciences, 106:105–122, 1998.
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Hüllermeier, E. (1999). Exploiting Similarity for Supporting Data Analysis and Problem Solving. In: Hand, D.J., Kok, J.N., Berthold, M.R. (eds) Advances in Intelligent Data Analysis. IDA 1999. Lecture Notes in Computer Science, vol 1642. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48412-4_22
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DOI: https://doi.org/10.1007/3-540-48412-4_22
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