Abstract
We propose a probabilistic case-space metric for the case matching and case adaptation tasks. Central to our approach is a probability propagation algorithm adopted from Bayesian reasoning systems, which allows our case-based reasoning system to perform theoretically sound probabilistic reasoning. The same probability propagation mechanism actually offers a uniform solution to both the case matching and case adaptation problems. We also show how the algorithm can be implemented as a connectionist network, where efficient massively parallel case retrieval is an inherent property of the system. We argue that using this kind of an approach, the difficult problem of case indexing can be completely avoided.
This research was supported by Technology Development Center (TEKES) and Honkanen Foundation.
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G.F. Cooper, Probabilistic Inference using Belief Networks is NP-hard. Technical Report KSL-87-27, Stanford University, Stanford, CA, 1987.
DARPA, Proceedings of the Workshop on Case-Based Reasoning 1988–1991. Morgan Kaufmann, San Mateo, CA.
S. Geman and D. Geman, Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images. IEEE Trans. on Pattern Analysis and Machine Intelligence 6 (1984), 721–741.
H. Kitano and M. Yasunaga, Wafer Scale Integration for Massively Parallel Memory-Based Reasoning. Pp. 850–856 in: Proc. of the Tenth National Conference on Artificial Intelligence (San Jose, July 1992) AAAI Press/MIT Press, Menlo Park, CA, 1992.
H. Kitano, Challenges of Massive Parallelism. Pp. 813–834 in: Proceedings of IJCAI-93, the Thirteenth International Joint Conference on Artificial Intelligence (Chambéry, France, August 1993). Morgan Kaufmann, San Mateo, CA, 1993.
S. L. Lauritzen and D. J. Spiegelhalter, Local computations with probabilities on graphical structures and their application to expert systems. J. Royal Stat. Soc., Ser. B 1989. Reprinted as pp. 415–448 in: Readings in Uncertain Reasoning (G. Shafer and J. Pearl, eds.). Morgan Kaufmann, San Mateo, CA, 1990.
P. Myllymäki, Bayesian Reasoning by Stochastic Neural Networks. Ph. Lic. Thesis, Report C-1993-67, Department of Computer Science, University of Helsinki, 1993.
P. Myllymäki and P. Orponen, Programming the Harmonium. Pp. 671–677 in: Proc. of the International Joint Conf. on Neural Networks (Singapore, Nov. 1991), Vol. 1. IEEE, New York, NY, 1991.
P. Myllymäki and H. Tirri, Bayesian Case-Based Reasoning with Neural Networks. Pp. 422–427 in: Proc. of the IEEE International Conf. on Neural Networks (San Francisco, March 1993), Vol. 1. IEEE, Piscataway, NJ, 1993.
P. Myllymäki and H. Tirri, Learning in neural networks with Bayesian prototypes. Pp. 60–64 in: Proceedings of SOUTHCON'94 (Orlando, March 1994).
R. Neapolitan, Probabilistic Reasoning in Expert Systems. Wiley Interscience, New York, NY, 1990.
P. Orponen, P. Floréen, P. Myllymäki, H. Tirri, A neural implementation of conceptual hierarchies with Bayesian reasoning. Pp. 297–303 in: Proc. of the International Joint Conf. on Neural Networks (San Diego, CA, June 1990), Vol. I. IEEE, New York, NY, 1990.
J. Pearl, Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference. Morgan Kaufmann, San Mateo, CA, 1988.
D.E. Rumelhart and J.L. McClelland (eds.), Parallel distributed processing: explorations in the microstructures of cognition. Vol 1,2. MIT Press, Cambridge, MA, 1986.
H. Tirri and P. Myllymäki, MDL learning of probabilistic neural networks for discrete problem domains. To be presented at the IEEE World Congress on Computational Intelligence (Orlando, June 1994).
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© 1994 Springer-Verlag Berlin Heidelberg
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Myllymäki, P., Tirri, H. (1994). Massively parallel case-based reasoning with probabilistic similarity metrics. In: Wess, S., Althoff, KD., Richter, M.M. (eds) Topics in Case-Based Reasoning. EWCBR 1993. Lecture Notes in Computer Science, vol 837. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-58330-0_83
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DOI: https://doi.org/10.1007/3-540-58330-0_83
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