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Volumn 36, Issue 5, 2006, Pages 1010-1028

Learning Rule Representations From Data

Author keywords

Algorithmic inference; Boolean formula simplification; computational learning; fuzzy sets; granular computing; mutual information; probably approximately correct (PAC) meditation; rough sets; rule learning; sentry points

Indexed keywords


EID: 85008025556     PISSN: 10834427     EISSN: 15582426     Source Type: Journal    
DOI: 10.1109/TSMCA.2006.878987     Document Type: Article
Times cited : (16)

References (55)
  • 1
    • 0021518106 scopus 로고
    • A theory of the learnable
    • Nov.
    • L. Valiant, “A theory of the learnable,” Commun. ACM, vol. 27, no. 11, pp. 1134–1142, Nov. 1984.
    • (1984) Commun. ACM , vol.27 , Issue.11 , pp. 1134-1142
    • Valiant, L.1
  • 2
    • 0003969585 scopus 로고
    • Estimation of Dependences Based on Empirical Data
    • New York: Springer-Verlag
    • V. Vapnik, Estimation of Dependences Based on Empirical Data. New York: Springer-Verlag, 1982.
    • (1982)
    • Vapnik, V.1
  • 3
    • 0024082469 scopus 로고
    • Quantifying inductive bias: AI learning algorithms and Valiant's learning framework
    • Sep.
    • D. Haussler, “Quantifying inductive bias: AI learning algorithms and Valiant's learning framework,” Artif. Intell., vol. 36, no. 2, pp. 177–221, Sep. 1988.
    • (1988) Artif. Intell. , vol.36 , Issue.2 , pp. 177-221
    • Haussler, D.1
  • 5
    • 0001556720 scopus 로고    scopus 로고
    • Efficient agnostic learning of neural networks with bounded fan-in
    • Nov.
    • W. S. Lee, R. Bartlett, and P. L. Williamson, “Efficient agnostic learning of neural networks with bounded fan-in,” IEEE Trans. Inf. Theory, vol. 42, no. 6, pp. 2118–2132, Nov. 1996.
    • (1996) IEEE Trans. Inf. Theory , vol.42 , Issue.6 , pp. 2118-2132
    • Lee, W.S.1    Bartlett, R.2    Williamson, P.L.3
  • 7
    • 0025448521 scopus 로고
    • The strength of weak learnability
    • Jun.
    • R. E. Schapire, “The strength of weak learnability,” Mach. Learn., vol. 2, no. 2, pp. 197–227, Jun. 1990.
    • (1990) Mach. Learn. , vol.2 , Issue.2 , pp. 197-227
    • Schapire, R.E.1
  • 8
    • 0003500248 scopus 로고
    • C4.5: Programs for Machine Learning
    • San Mateo, CA: Morgan Kaufmann
    • J. R. Qunilan, C4.5: Programs for Machine Learning. San Mateo, CA: Morgan Kaufmann, 1993.
    • (1993)
    • Qunilan, J.R.1
  • 9
    • 0001172265 scopus 로고
    • Learning logical definitions from relations
    • Aug.
    • J. R. Qunilan, “Learning logical definitions from relations,” Mach. Learn., vol. 5, no. 3, pp. 239–266, Aug. 1990.
    • (1990) Mach. Learn. , vol.5 , Issue.3 , pp. 239-266
    • Qunilan, J.R.1
  • 10
    • 33745765336 scopus 로고    scopus 로고
    • Granular computing in data mining
    • ser. Studies in Fuzziness and Soft Computing, M. Last and A. Kandel, Eds. New York: Springer-Verlag
    • W. Pedrycz, “Granular computing in data mining,” in Data Mining and Computational Intelligence, ser. Studies in Fuzziness and Soft Computing, vol. 68, M. Last and A. Kandel, Eds. New York: Springer-Verlag, 2001.
    • (2001) Data Mining and Computational Intelligence , vol.68
    • Pedrycz, W.1
  • 11
    • 0003678399 scopus 로고
    • Possibility Theory: An Approach to Computerized Processing of Uncertainty
    • New York: Plenum
    • D. Dubois and H. Prade, Possibility Theory: An Approach to Computerized Processing of Uncertainty. New York: Plenum, 1988.
    • (1988)
    • Dubois, D.1    Prade, H.2
  • 12
    • 0004065899 scopus 로고    scopus 로고
    • The Fuzzy Systems Handbook
    • San Diego, CA: AP Professional
    • E. Cox, The Fuzzy Systems Handbook. San Diego, CA: AP Professional, 1998.
    • (1998)
    • Cox, E.1
  • 13
    • 0003046840 scopus 로고
    • A theory and methodology of inductive learning
    • J. G. Carbonell and T. M. Mitchell, Eds. Palo Alto, CA: Tioga
    • R. S. Michalski, “A theory and methodology of inductive learning,” in Machine Learning: An Artificial Intelligence Approach, J. G. Carbonell and T. M. Mitchell, Eds. Palo Alto, CA: Tioga, 1983, pp. 83–134.
    • (1983) Machine Learning: An Artificial Intelligence Approach , pp. 83-134
    • Michalski, R.S.1
  • 14
    • 84957805041 scopus 로고    scopus 로고
    • Rough sets and decision algorithms
    • W. Ziarko and Y. Yao, Eds. Berlin, Germany: Springer-Verlag
    • Z. Pawlak, “Rough sets and decision algorithms,” in Rough Sets and Current Trends in Computing, W. Ziarko and Y. Yao, Eds. Berlin, Germany: Springer-Verlag, 2001, pp. 30–45.
    • (2001) Rough Sets and Current Trends in Computing , pp. 30-45
    • Pawlak, Z.1
  • 15
    • 0028530086 scopus 로고
    • Generalizing version spaces
    • Oct.
    • H. Hirsh, “Generalizing version spaces,” Mach. Learn., vol. 17, no. 1, pp. 5–46, Oct. 1994.
    • (1994) Mach. Learn. , vol.17 , Issue.1 , pp. 5-46
    • Hirsh, H.1
  • 16
    • 0005365017 scopus 로고    scopus 로고
    • Delaying the choice of bias: A disjunctive version space approach
    • San Francisco, CA
    • M. Sebag, “Delaying the choice of bias: A disjunctive version space approach,” in Proc. 13th Int. Conf. Mach. Learning, San Francisco, CA, 1996, pp. 444–452.
    • (1996) Proc. 13th Int. Conf. Mach. Learning , pp. 444-452
    • Sebag, M.1
  • 17
    • 0030211964 scopus 로고
    • Bagging predictors
    • Aug.
    • L. Breiman, “Bagging predictors,” Mach. Learn., vol. 24, no. 2, pp. 123—140, Aug. 1986.
    • (1986) Mach. Learn. , vol.24 , Issue.2 , pp. 123-140
    • Breiman, L.1
  • 18
    • 0025742422 scopus 로고
    • Results on learnability and the Vapnik-Chervonenkis dimension
    • Jan.
    • N. Linial, Y. Mansour, and R. L. Rivest, “Results on learnability and the Vapnik-Chervonenkis dimension,” Inf. Comput., vol. 90, no. 1, pp. 33–49, Jan. 1991.
    • (1991) Inf. Comput. , vol.90 , Issue.1 , pp. 33-49
    • Linial, N.1    Mansour, Y.2    Rivest, R.L.3
  • 19
    • 0004084989 scopus 로고
    • Biologie et Connaissance
    • Paris, France: Gallimard
    • J. Piaget, Biologie et Connaissance. Paris, France: Gallimard, 1969.
    • (1969)
    • Piaget, J.1
  • 20
    • 84889281816 scopus 로고
    • Elements of Information Theory
    • New York: Wiley
    • T. Cover and J. Thomas, Elements of Information Theory. New York: Wiley, 1991.
    • (1991)
    • Cover, T.1    Thomas, J.2
  • 21
    • 85008045562 scopus 로고    scopus 로고
    • Independent Component Analysis
    • Hoboken, NJ: Wiley
    • A. Hyvarinen, J. Kahunen, and E. Oja, Independent Component Analysis. Hoboken, NJ: Wiley, 2001.
    • (2001)
    • Hyvarinen, A.1    Kahunen, J.2    Oja, E.3
  • 22
    • 0042799215 scopus 로고
    • Inserting and extracting knowledge from constrained backpropagation network
    • Sydney, Australia
    • R. Andrews and S. Geva, “Inserting and extracting knowledge from constrained backpropagation network,” in Proc. 6th Australian Conf. Neural Netw., Sydney, Australia, 1995, pp. 29–32.
    • (1995) Proc. 6th Australian Conf. Neural Netw. , pp. 29-32
    • Andrews, R.1    Geva, S.2
  • 23
    • 0036859708 scopus 로고    scopus 로고
    • Binary rule generation via Hamming clustering
    • Nov./Dec.
    • M. Muselli and D. Liberati, “Binary rule generation via Hamming clustering,” IEEE Trans. Knowl. Data Eng., vol. 14, pp. 1258–1268, Nov./Dec. 2002.
    • (2002) IEEE Trans. Knowl. Data Eng. , vol.14 , pp. 1258-1268
    • Muselli, M.1    Liberati, D.2
  • 24
    • 0003450542 scopus 로고
    • The Nature of Statistical Learning Theory
    • New York: Springer-Verlag
    • V. Vapnik, The Nature of Statistical Learning Theory. New York: Springer-Verlag, 1995.
    • (1995)
    • Vapnik, V.1
  • 25
    • 0031072926 scopus 로고    scopus 로고
    • PAC learning of concept classes through the boundaries of their items
    • Feb.
    • B. Apolloni and S. Chiaravalli, “PAC learning of concept classes through the boundaries of their items,” Theoretical Computer Science, vol. 172, no. 1/2, pp. 91–120, Feb. 1997.
    • (1997) Theoretical Computer Science , vol.172 , Issue.1-2 , pp. 91-120
    • Apolloni, B.1    Chiaravalli, S.2
  • 27
    • 84956853437 scopus 로고    scopus 로고
    • PAC meditation on Boolean formulas
    • S. Koenig and R. C. Holte, Eds. Berlin, Germany: Springer-Verlag
    • B. Apolloni, F. Baraghini, and G. Palmas, “PAC meditation on Boolean formulas,” in Abstraction, Reformulation and Approximation, S. Koenig and R. C. Holte, Eds. Berlin, Germany: Springer-Verlag, 2002, pp. 274–281.
    • (2002) Abstraction, Reformulation and Approximation , pp. 274-281
    • Apolloni, B.1    Baraghini, F.2    Palmas, G.3
  • 28
    • 0034905723 scopus 로고    scopus 로고
    • Gaining degrees of freedom in sub-symbolic learning
    • Mar.
    • B. Apolloni and D. Malchiodi, “Gaining degrees of freedom in sub-symbolic learning,” Theoretical Computer Science, vol. 255, no. 1/2, pp. 295–321, Mar. 2001.
    • (2001) Theoretical Computer Science , vol.255 , Issue.1-2 , pp. 295-321
    • Apolloni, B.1    Malchiodi, D.2
  • 29
    • 0024750852 scopus 로고
    • Learnability and the Vapnik-Chervonenkis dimension
    • Oct.
    • A. Blumer, A. Ehrenfreucht, D. Haussler, and M. Warmuth, “Learnability and the Vapnik-Chervonenkis dimension,” J. ACM, vol. 36, no. 4, pp. 929–965, Oct. 1989.
    • (1989) J. ACM , vol.36 , Issue.4 , pp. 929-965
    • Blumer, A.1    Ehrenfreucht, A.2    Haussler, D.3    Warmuth, M.4
  • 32
    • 0022151072 scopus 로고
    • An analytical comparison of some rule-learning programs
    • Nov.
    • A. Bundy, A. Silver, and D. Plummer, “An analytical comparison of some rule-learning programs,” Artif. Intell., vol. 27, no. 2, pp. 137–181, Nov. 1985.
    • (1985) Artif. Intell. , vol.27 , Issue.2 , pp. 137-181
    • Bundy, A.1    Silver, A.2    Plummer, D.3
  • 33
    • 0003408420 scopus 로고    scopus 로고
    • Learning with Kernels : Support Vector Machines, Regularization, Optimization, and Beyond
    • Cambridge, MA: MIT Press
    • B. Scholkopf and A. J. Smola, Learning with Kernels : Support Vector Machines, Regularization, Optimization, and Beyond. Cambridge, MA: MIT Press, 2002.
    • (2002)
    • Scholkopf, B.1    Smola, A.J.2
  • 34
    • 0004033326 scopus 로고
    • Combinatorial Theory
    • New York: Springer-Verlag
    • M. Aigner, Combinatorial Theory. New York: Springer-Verlag, 1979.
    • (1979)
    • Aigner, M.1
  • 35
    • 0038979678 scopus 로고    scopus 로고
    • Order-polynomially complete lattices must be large
    • Aug.
    • M. Goldstern and S. Shelah, “Order-polynomially complete lattices must be large,” Algebra Universalis, vol. 39, no. 3/4, pp. 197–209, Aug. 1998.
    • (1998) Algebra Universalis , vol.39 , Issue.3-4 , pp. 197-209
    • Goldstern, M.1    Shelah, S.2
  • 36
    • 85008058817 scopus 로고    scopus 로고
    • personal communication
    • M. Muselli, personal communication.
    • Muselli, M.1
  • 37
    • 0003678852 scopus 로고    scopus 로고
    • Rough Fuzzy Hybridization: A New Trend in Decision-Making
    • Eds. Berlin, Germany: Springer-Verlag
    • S. K. Pal andA. Skowron, Eds. Rough Fuzzy Hybridization: A New Trend in Decision-Making, Berlin, Germany: Springer-Verlag, 1999.
    • (1999)
    • Pal, S.K.1    Skowron, A.2
  • 38
    • 0002897323 scopus 로고
    • A decision-theoretic generalization of online learning and application to boosting
    • Barcelona, Spain
    • Y. Freund and R. E. Schapire, “A decision-theoretic generalization of online learning and application to boosting,” in Proc. 2nd Eur. Conf. Comput. Learning Theory, Barcelona, Spain, 1995, pp. 92–99.
    • (1995) Proc. 2nd Eur. Conf. Comput. Learning Theory , pp. 92-99
    • Freund, Y.1    Schapire, R.E.2
  • 39
    • 0003879107 scopus 로고
    • An Introduction to Computational Learning Theory
    • Cambridge, MA: MIT Press
    • M. J. Kearns and U. V. Vazirani, An Introduction to Computational Learning Theory. Cambridge, MA: MIT Press, 1994.
    • (1994)
    • Kearns, M.J.1    Vazirani, U.V.2
  • 40
    • 0029411030 scopus 로고
    • An information-maximization approach to blind separation and blind deconvolution
    • Nov.
    • A. J. Bell and T. J. Sejnowski, “An information-maximization approach to blind separation and blind deconvolution,” Neural Comput., vol. 7, no. 6, pp. 1129–1159, Nov. 1995.
    • (1995) Neural Comput. , vol.7 , Issue.6 , pp. 1129-1159
    • Bell, A.J.1    Sejnowski, T.J.2
  • 42
    • 84942913005 scopus 로고    scopus 로고
    • A cellular neural associative array for symbolic vision
    • S. Wermter and R. Sun, Eds. New York: Springer-Verlag
    • C. Orovas and J. Austin, “A cellular neural associative array for symbolic vision,” in Hybrid Neural Systems, S. Wermter and R. Sun, Eds. New York: Springer-Verlag, 2000, pp. 372–386.
    • (2000) Hybrid Neural Systems , pp. 372-386
    • Orovas, C.1    Austin, J.2
  • 43
    • 0004209735 scopus 로고
    • A Mathematical Theory of Evidence
    • Princeton, NJ: Princeton Univ. Press
    • G. Shafer, A Mathematical Theory of Evidence. Princeton, NJ: Princeton Univ. Press, 1976.
    • (1976)
    • Shafer, G.1
  • 44
    • 0020337281 scopus 로고
    • On several representations of uncertain body of evidence
    • Amsterdam, The Netherlands: North Holland
    • D. Dubois and H. Prade, “On several representations of uncertain body of evidence,” in Fuzzy Information and Decision Processes. Amsterdam, The Netherlands: North Holland, 1982, pp. 167–181.
    • (1982) Fuzzy Information and Decision Processes , pp. 167-181
    • Dubois, D.1    Prade, H.2
  • 45
    • 0043123634 scopus 로고
    • Inductive Inference by Refinement
    • Yale Univ., New Haven, CT, Tech. Rep. YALEU/DCS/TR376
    • P. D. Laird, “Inductive Inference by Refinement,” Yale Univ., New Haven, CT, Tech. Rep. YALEU/DCS/TR376, 1986.
    • (1986)
    • Laird, P.D.1
  • 46
    • 0024092215 scopus 로고
    • Computational limitations on learning from examples
    • Oct.
    • L. Pitt and L. Valiant, “Computational limitations on learning from examples,” J. ACM, vol. 4, no. 35, pp. 965–984, Oct. 1988.
    • (1988) J. ACM , vol.4 , Issue.35 , pp. 965-984
    • Pitt, L.1    Valiant, L.2
  • 48
    • 85008055969 scopus 로고    scopus 로고
    • Ross Quinlan home page
    • [Online]. Available
    • Ross Quinlan home page. [Online]. Available: http://www.cse.unsw. edu.au/~quinlan/
  • 49
    • 85008066920 scopus 로고    scopus 로고
    • P300 offline detection: A fuzzy-based support system
    • Milano, Italy, Oct.
    • S. Giove, F. Piccione, F. Giorgi, F. Beverina, and S. Silvoni, “P300 offline detection: A fuzzy-based support system,” in Proc. WILF, Milano, Italy, Oct. 4–5, 2001, pp. 155–164.
    • (2001) Proc. WILF , pp. 4-5
    • Giove, S.1    Piccione, F.2    Giorgi, F.3    Beverina, F.4    Silvoni, S.5
  • 50
    • 0003754285 scopus 로고
    • Simulated Annealing and Boltzmann Machines: A Stochastic Approach to Combinatorial Optimization and Neural Computing
    • Hoboken, NJ: Wiley
    • E. Aarts and J. Korst, Simulated Annealing and Boltzmann Machines: A Stochastic Approach to Combinatorial Optimization and Neural Computing. Hoboken, NJ: Wiley, 1989.
    • (1989)
    • Aarts, E.1    Korst, J.2
  • 51
    • 85008055965 scopus 로고    scopus 로고
    • Fuzzy methods for simplifying a Boolean formula inferred from examples
    • Singapore, Nov.
    • B. Apolloni, D. Malchiodi, C. Orovas, and A. M. Zanaboni, “Fuzzy methods for simplifying a Boolean formula inferred from examples,” in Proc. 1st Int. Conf. FSKD, Singapore, Nov. 18–22, 2002, pp. 554–558.
    • (2002) Proc. 1st Int. Conf. FSKD , pp. 18-22
    • Apolloni, B.1    Malchiodi, D.2    Orovas, C.3    Zanaboni, A.M.4
  • 52
    • 0004238431 scopus 로고    scopus 로고
    • The Scheme Programming Language
    • [Online]. Available
    • The Scheme Programming Language. [Online]. Available: http://www. swiss.ai.mit.edu/projects/scheme
  • 53
    • 0040981036 scopus 로고
    • Learning monotone Boolean functions by uniformly distributed examples
    • Jun.
    • Q. P. Gu and A. Maruoka, “Learning monotone Boolean functions by uniformly distributed examples,” SIAM J. Comput., vol. 21, no. 3, pp. 587-599, Jun. 1992.
    • (1992) SIAM J. Comput. , vol.21 , Issue.3 , pp. 587-599
    • Gu, Q.P.1    Maruoka, A.2
  • 54
    • 0003484048 scopus 로고
    • The use of human eventrelated potentials in psychology
    • I. Martin and P. H. Venables, Eds. Chichester, U.K.: Wiley
    • T. W. Picton, “The use of human eventrelated potentials in psychology,” in Techniques in Psychophysiology, I. Martin and P. H. Venables, Eds. Chichester, U.K.: Wiley, 1980.
    • (1980) Techniques in Psychophysiology
    • Picton, T.W.1
  • 55
    • 0003421261 scopus 로고
    • An Introduction to Probability Theory and Its Applications
    • 2nd ed, Hoboken, NJ: Wiley
    • W. Feller, An Introduction to Probability Theory and Its Applications, 2nd ed, vol. 1. Hoboken, NJ: Wiley, 1960.
    • (1960) , vol.1
    • Feller, W.1


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