Abstract
Computational complexity is often a major obstacle to the application of AI techniques to significant real-world problems. Efforts are then required to understand the sources of this complexity, in order to tame it without introducing, if possible, too strong simplifications that make either the problem or the technique useless.
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References
Choueiry, B., S. McIlraith, Y. Iwasaki, T. Loeser, T. Neller, R. Engelmore and R. Fikes (1998). “Thoughts on a Practical Theory of Reformulation for Reasoning about Physical Systems”. In Proc. SARA’ 98, Pacific Grove, California.
Ellman, T. (1993). Hillclimbing in a Hierarchy of Abstraction Spaces.Rutgers University.
Newell, A. and H. Simon (1972). Human Problem Solving. Englewood Cliff, NJ: Prentice-Hall.
Amarel, S. (1983). “Representation in Problem Solving”. In Methods of Heuristics. Lawrence Erlbaum: Palo Alto,CA, p. 131–171.
Korf, R.E. (1980). “Towards a Model for Representation Change”. Artificial Intelligence, 14, 41–78.
Cheeseman P., Kanefsky B., and Taylor W.M. (1991). “Where the Really Hard Problems Are”. In Proc. 12th Int. Joint Confon Artificial Intelligence (Sidney, Australia), pp. 331–337.
Hogg, T., B.A. Huberman and C.P. Williams, (Eds). (1996). Artificial Intelligence, Special Issue on Frontiers in Problem Solving: Phase Transitions and Complexity, 81 (1–2).
Gent, I.P. and Walsh T. (1996). “The TSP Phase Transition. Artificial Intelligence, 81, 349–358.
Giordana, A. and Saitta L. (2000). “Phase Transitions in Relational Learning”. Machine Learning, In press.
Prosser, P. (1996). “An Empirical Study of Phase Transitions in Binary Constraint Satisfaction Problems”. Artificial Intelligence, 81, 81–110.
Dietterich, T. and R. Michalski, Inductive Learning of Structural Description. Artificial Intelligence, 1981. 16: p. 257–294.
Giordana A., Neri F., Saitta L., and Botta M. (1998). “Integrating Multiple Learning Strategies in First Order Logics”. Machine Learning, 27, 221–226.
Muggleton S. (Ed.) (1992). Inductive Logic Programming, Academic Press, London. UK.
Giordana, A., Saitta L., Sebag M., and Botta M (2000). “Concept Generalization as Search in a Critical Region”. In Proc. Int. Conf. on Machine Learning. Stanford,US: MorganKaufmann.
Giunchiglia, F. and T. Walsh (1992). “A Theory of Abstraction”. Artificial Intelligence, 56, 323–390.
Williams, C.P. and Hogg T. (1994). “Exploiting the Deep Structure of Constraint Problems”. Artificial Intelligence, 70, 73–117.
Botta, M., Giordana A. and Saitta L. (1999). “Relational Learning: Hard Problems and Phase Transitions”. In Proc. 16th Int. Joint Conf. on Artificial Intelligence. Stockholm,Sweden.
Saitta, L. and Zucker J.-D. (1998). “Semantic Abstraction for Concept Representation and Learning”. In Symposium on Abstraction, Reformulation and Approximation (SARA’98), Asilomar Conference Center, Pacific Grove,California.
Nayak, P. and A. Levy (1995). “A Semantic Theory of Abstraction”. In Proc. IJCAI-95.
Imielinski, T. (1987). “Domain Abstraction and Limited Reasoning”, In Proc. Int. Joint Conf. on Artificial Intelligence (Milano, Italy, 1987), pp. 997–1003.
Plaisted, D., Theorem Proving with Abstraction. Artificial Intelligence, 1981. 16: p. 47–108.
Zhang W., and Korf R.E. (1996). “A Study of Complexity Transition on the Asymmetric Travelling Salesman Problem”. Artificial Intelligence, 81, 223–239.
Zucker J-D. (1996). “Representation Changes for Efficient Learning in Structural Domains”. In Proc. 13 th Int. Conf. on Machine Learning (Bari, Italy), pp. 543–551.
Quinlan R. (1990). “Learning Logical Definitions from Relations”, Machine Learning, 5, 239–266.
Giordana A., Roverso D., and Saitta L. (1991). “Abstracting Background Knowledge for Concept Learning” In Proc. EWSL-91, Porto, Portugal.
Giordana, A. and Saitta L. (1990). “Abstraction: A General Framework for Learning”. In AAAI Workshop on Automated Generation of Approximations and Abstraction. Boston, MA.
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Saitta, L., Zucker, JD. (2000). Abstraction and Phase Transitions in Relational Learning. In: Choueiry, B.Y., Walsh, T. (eds) Abstraction, Reformulation, and Approximation. SARA 2000. Lecture Notes in Computer Science(), vol 1864. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44914-0_19
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