Skip to main content

Learning Flexible Concepts Using a Two-Tiered Representation

  • Chapter
Foundations of Knowledge Acquisition

Part of the book series: The Springer International Series in Engineering and Computer Science ((SECS,volume 195))

Abstract

Most human concepts are flexible in the sense that they inherently lack precise boundaries, and these boundaries are often context-dependent. This chapter describes a method for representing and inductively learning flexible concepts from examples. The basic idea is to represent such concepts using a two-tiered representation. Such a representation consists of two structures (“tiers”): the Base Concept Representation (BCR), which captures explicitly the basic and context-independent concept properties, and Inferential Concept Interpretation (ICI), which characterizes allowable concept modifications and context-dependency. The proposed method has been implemented in the POSEIDON system (also called AQ16), and tested on various practical problems, such as learning the concept of “Acceptable union contracts” and “Voting patterns of Republicans and Democrats in the U.S. Congress.” In the experiments, the system generated concept descriptions that were both, more accurate and simpler than those produced by other methods tested, such as methods employing simple exemplar-based representations, decision tree learning, and some previous methods for rule learning.

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
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover 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

  • Ahn, W. & Medin, D.L. (1992). A Two-stage Model of Category Construction, Cognitive Science, 16, pp. 81–121.

    Article  Google Scholar 

  • Bareiss, R. (1989). An exemplar-based knowledge acquisition. Academic Press.

    Google Scholar 

  • Bergadano, F. & Giordana, A. (1989). Pattern classification: an approximate reasoning framework. International Journal of Intelligent Systems.

    Google Scholar 

  • Bergadano, F., Matwin, S., Michalski, R.S. & Zhang, J. (1988a). Learning flexible concept descriptions using a two-tiered knowledge representation: Part 1 — ideas and a method. Reports of Machine Learning and Inference Laboratory, MLI-88-4. Center for Artificial Intelligence, George Mason University.

    Google Scholar 

  • Bergadano, F., Matwin, S., Michalski, R. S. & Zhang, J. (1988b). Measuring quality of concept descriptions, Proceedings Third European Working Sessions on Learning. Glasgow, 1–14.

    Google Scholar 

  • Bloedorn, E. & Michalski, R.S. (1992). Data-driven constructive induction AQ17: A method and experiments. Reports of Machine Learning and Inference Laboratory, Center for Artificial Intelligence, George Mason University (to appear).

    Google Scholar 

  • Cheeseman, P., Kelly, J., Self, M., Stutz, J., Taylor, W. & Freeman, D. (1988). AutoClass: A Bayesian classification system. Proceedings of the Fifth International Conf on Machine Learning, Ann Arbor, 54–64.

    Google Scholar 

  • Cestnik, B., Kononenko, L, Bratko, I. (1987). ASSISTANT 86: A knowledge-elicitation tool for sophisticated users. Proceedings of the 2nd European Workshop on Learning. 31–45.

    Google Scholar 

  • Clark, P. Niblett, T. (1989). The CN2 induction algorithm. Machine Learning Journal, Vol. 3,No.4, 261–183.

    Google Scholar 

  • Collins, A. M., Quillian, M. R. (1972). Experiments on semantic memory and language comprehension” in Cognition, Learning and Memory, L. W. Gregg (Ed.), John Wiley.

    Google Scholar 

  • DeJong, G., Mooney, R. (1986) Explanation-based learning: An alternative view. Machine Learning, Vol. 1.No. 2.

    Google Scholar 

  • Dietterich, T.. (1986). Learning at the knowledge level. Machine Learning, Vol. 1.No. 3. 287–315.

    Google Scholar 

  • Dietterich., T., Flann, N. (1988). An inductive approach to solving the imperfect theory problem. Proceedings of the Explanation-based Learning Workshop, Stanford University. 42–46.

    Google Scholar 

  • Drastal, G., Czako, G., Raatz, S. (1989). Induction in an abstraction space: A form of constructive induction. Proceedings of IJCAI 89, Detroit. 708–712.

    Google Scholar 

  • Fisher, D. (1987). Knowledge acquisition via incremental conceptual clustering. Machine Learning. Vol. 2, 139–172.

    Google Scholar 

  • Fisher, D. H. & Schlimmer, J. C. (1988). Concept simplification and prediction accuracy. Proceedings of the Fifth Int’l. Conf. On Machine Learning. Ann Arbor, 22–28.

    Google Scholar 

  • Hammond, K. (1989). Case-based planning: Viewing planning as a memory task. Academic Press.

    Google Scholar 

  • Iba, W., Wogulis, J. & Langley, P. (1988). Trading off simplicity and coverage in incremental concept learning. Proceedings of the Fifth Int’l. Conf. on Machine Learning. Ann Arbor, 73–79.

    Google Scholar 

  • Kedar-Cabelli, S. T. & McCarthy, L. T. (1987). Explanation-based generalization as resolution theorem proving. Proceedings of the 4th Int. Workshop on Machine Learning, Irvine.

    Google Scholar 

  • Kibler, D. & Aha, D. (1987). Learning representative exemplars of concepts. Proceedings of the 4th International Workshop on Machine Learning, Irvine.

    Google Scholar 

  • Kolodner, J. (Ed.) (1988). Proceedings of the Case-based Reasoning Workshop, DARPA, Clearwater Beach, FL.

    Google Scholar 

  • Lakoff, G. (1987). Women, Fire, and Dangerous Things: What Categories Reveal about Mind, University of Chicago Press.

    Google Scholar 

  • Lebowitz, M. (1987). Experiments with incremental concept formation: UNIMEM, Machine Learning Journal, Vol. 2,No. 2.

    Google Scholar 

  • Michalski, R.S. (1975). Variable-valued logic and its applications to pattern recognition and machine learning. In D. C. Rine (Ed.), Computer science and multiple-valued logic theory and applications, North-Holland Publishing Co. 506–534.

    Google Scholar 

  • Michalski, R.S. & Larson, J. B. (1978). Selection of most representative training examples and incremental generation of VL1 hypotheses: The underlying methodology and the description of programs ESEL and AQ11. Reports of the Department of Computer Science, TR 867, University of Illinois at Urbana-Champaign.

    Google Scholar 

  • Michalski, R.S. (1983). A theory and methodology of inductive learning. In R.S. Michalski, J.G. Carbonell & T.M. Mitchell (Eds.), Machine learning: An artificial intelligence approach. Palo Alto, CA: Tioga (now Morgan Kaufmann).

    Google Scholar 

  • Michalski, R.S. & Stepp, R.E. (1983). Learning from observation: conceptual clustering. In R.S. Michalski, J.G. Carbonell & T.M. Mitchell (Eds.), Machine learning: An artificial intelligence approach. Palo Alto, CA:: Tioga (now Morgan Kaufmann).

    Google Scholar 

  • Michalski, R. S., Mozetic, I., Hong J. & Lavrac, N. (1986). The multipurpose incremental learning system AQ15 and its testing application to three medical domains. Proceedings of the 5th AAAI. 1041–1045.

    Google Scholar 

  • Michalski, R. S. (1989). Two-tiered concept meaning, inferential matching and conceptual cohesiveness. In S. Vosniadou & A. Ortony (Eds.), Similarity and analogy, Cambridge: Cambridge University Press.

    Google Scholar 

  • Michalski, R. S. & Ko, H. (1988). On the nature of explanation, or why did the wine bottle shatter? AAAI Symposium: Explanation-Based Learning, Stanford University. 12–16.

    Google Scholar 

  • Michalski, R. S. (1987). How to learn imprecise concepts: A method employing a two-tiered knowledge representation for learning. Proceedings of the Fourth International Workshop on Machine Learning, Irvine, CA. 50–58.

    Google Scholar 

  • Michalski, R. S. (1990). Learning flexible concepts: fundamental ideas and a methodology in Y. Kodratoff and R. S. Michalski (Eds.) Machine Learning: An artificial intelligence approach, Vol. III. San Mateo, CA: Morgan Kaufmann Publishers.

    Google Scholar 

  • Mooney, R. & Ourston, D. (1989). Induction over the unexplained: integrated learning of concepts with both explainable and conventional aspects. Proceedings of 6th Int’l Workshop on Machine Learning, Ithaca, NY, 5–7.

    Google Scholar 

  • Minsky, M. (1975). A framework for representing knowledge. In P. Winston (Ed.), The Psychology of computer vision.

    Google Scholar 

  • Mitchell, T. M., Keller, R. & Kedar-Cabelli, S. (1986) Explanation-based generalization: A unifying view. Machine Learning Journal, Vol. 1.No. 1, 11–46.

    Google Scholar 

  • Mitchell, T. M. (1977). Version spaces: an approach to concept learning. Ph.D. Dissertation, Stanford University.

    Google Scholar 

  • Plante, B. & Matwin, S. (1990). Learning second tier rules by chunking of multiple explanations. Research Report, Department of Computer Science, University of Ottawa.

    Google Scholar 

  • Prieditis, A. E. & Mostow, J. (1987). PROLEARN: Towards a Prolog interpreter that learns. Proceedings, of IJCAI 87, Milan. 494–498.

    Google Scholar 

  • Quinlan, J. R.. (1987) Simplifying decision trees. Int. Journal of Man-Machine Studies. Vol. 27, 221–234.

    Article  Google Scholar 

  • Robinson J. A. & Sibert E. E. (1982). LOGLISP: An aternative to Prolog. Machine Intelligence, Vol. 10, J. E. Hayes & D. Michie (Eds.), 399–419.

    Google Scholar 

  • Rosch, E. & Mervis, C. B. (1975). Family resemblances: Studies in the internal structure of categories. Cognitive Psychology, Vol. 7, 573–605.

    Article  Google Scholar 

  • Rouveirol, C. (1991). Deduction and semantic bias for inverse resolution. Proceedings of IJCAI 91. Sydney, Australia.

    Google Scholar 

  • Sammut, C. & Banerji, R.B. (1986). Learning concepts by asking question, in R.S. Michalski, J. G. Carbonell & T.M. Mitchell (Eds.), Machine learning: An artificial intelligence approach. Palo Alto, CA: Tioga (now Morgan Kaufmann Publishers).

    Google Scholar 

  • Smith, E. E. & Medin, D. L. (1981). Categories and concepts. Harvard University Press.

    Google Scholar 

  • Sowa, J. F. (1984). Conceptual sructures. Addison Wesley.

    Google Scholar 

  • Sturt, E. (1981). Computerized construction in Fortran of a discriminant function for categorical data. Applied statistics, Vol. 30, 213–222.

    Article  Google Scholar 

  • Watanabe, S. (1969). Knowing and guessing, a formal and quantitative study. John Wiley.

    Google Scholar 

  • Weber, S. (1983). A general concept of fuzzy connectives, negations and implications based on t-norms and t-conorms,” Fuzzy sets and systems, Vol. 11, 115–134.

    Article  MATH  MathSciNet  Google Scholar 

  • Winston, P. H. (1975). Learning structural descriptions from examples,” in P. Winston (Ed.) The Psychology of computer vsion., McGraw-Hill.

    Google Scholar 

  • Wnek, J. & Michalski, R.S. (1991). Hypothesis-driven constructive induction in AQ17: Method and experiments. Reports of Machine Learning and Inference Laboratory, Center for Artificial Intelligence, George Mason University.

    Google Scholar 

  • Zadeh, L. A. (1974). Fuzzy logic and its applications to approximate reasoning. Information Processing. North Holland, 591–594.

    Google Scholar 

  • Zhang, J. & Michalski, R. S. (1989). Rule optimization via SG-trunc method. Proceedings of the Fourth European Working Sessions on Learning. Glasgow.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Kluwer Academic Publishers

About this chapter

Cite this chapter

Michalski, R.S., Bergadano, F., Matwin, S., Zhang, J. (1993). Learning Flexible Concepts Using a Two-Tiered Representation. In: Meyrowitz, A.L., Chipman, S. (eds) Foundations of Knowledge Acquisition. The Springer International Series in Engineering and Computer Science, vol 195. Springer, Boston, MA. https://doi.org/10.1007/978-0-585-27366-2_5

Download citation

  • DOI: https://doi.org/10.1007/978-0-585-27366-2_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-9278-1

  • Online ISBN: 978-0-585-27366-2

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics