Abstract
Bayesian networks (BN) constitute a useful tool to model the joint distribution of a set of random variables of interest. To deal with the problem of learning sensible BN models from data, we have previously considered various evolutionary algorithms for searching the space of BN structures directly. In this paper, we explore a simple evolutionary algorithm designed to search the space of BN equivalence classes. We discuss a number of issues arising in this evolutionary context and provide a first assessment of the new class of algorithms.
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Larrañaga, P., Poza, M., Yurramendi, Y., Murga, R., Kuijpers, C.H.: Structure learning of bayesian networks by genetic algorithms: A performance analysis of control parameters. IEEE Transactions on Pattern Analysis and Machine Intelligence 10, 912–926 (1996)
Wong, M., Lam, W., Leung, K.: Using evolutionary programming and minimum description length principle for data mining of bayesian networks. IEEE Transactions on Pattern Analysis and Machine Intelligence 21, 174–178 (1999)
Cotta, C., Muruzábal, J.: Towards a more efficient evolutionary induction of bayesian networks. In: Guervós, J.J.M., Adamidis, P.A., Beyer, H.-G., Fernández-Villacañas, J.-L., Schwefel, H.-P. (eds.) PPSN 2002. LNCS, vol. 2439, pp. 730–739. Springer, Heidelberg (2002)
Heckerman, D.: A tutorial on learning with bayesian networks. In: Jordan, M. (ed.) Learning in Graphical Models, pp. 301–354. Kluwer, Dordrecht (1998)
Andersson, S., Madigan, D., Perlman, M.: A characterization of markov equivalence classes for acyclic digraphs. Annals of Statistics 25, 505–541 (1997)
Gillespie, S., Perlman, M.: Enumerating Markov equivalence classes of acyclic digraph models. In: Goldszmidt, M., Breese, J., Koller, D. (eds.) Proceedings of the Seventh Conference on Uncertainty in Artificial Intelligence, Seatle WA, pp. 171–177. Morgan Kaufmann, San Francisco (2001)
Chickering, D.: Learning equivalence classes of Bayesian-network structures. Journal of Machine Learning Research 2, 445–498 (2002)
Fogel, L., Owens, A., Walsh, M.: Artificial Intelligence Through Simulated Evolution. Wiley, New York (1966)
Heckerman, D., Geiger, D., Chickering, D.: Learning bayesian networks: the combination of knowledge and statistical data. Machine Learning 20, 197–243 (1995)
Acid, S., de Campos, L.M.: Searching for bayesian network structures in the space of restricted acyclic partially directed graphs. Journal of Artificial Intelligence Research 18, 445–490 (2003)
Eiben, A., Smith, J.: Introduction to Evolutionary Computing. Springer, Heidelberg (2003)
Beinlich, I., Suermondt, H., Chavez, R., Cooper, G.: The ALARM monitoring system: A case study with two probabilistic inference techniques for belief networks. In: Hunter, J., Cookson, J., Wyatt, J. (eds.) Proceedings of the Second European Conference on Artificial Intelligence and Medicine, pp. 247–256. Springer, Heidelberg (1989)
Kayaalp, M., Cooper, G.: A bayesian network scoring metric that is based on globally uniform parameter priors. In: Darwiche, A., Friedman, N. (eds.) Proceedings of the Eighteenth Annual Conference on Uncertainty in Artificial Intelligence, San Francisco, CA, Morgan Kaufmann, San Francisco (2002)
Castelo, R., Kočka, T.: On inclusion-driven learning of bayesian networks. Journal of Machine Learning Research 4, 527–574 (2003)
Chickering, D.: Optimal structure identification with greedy search. Journal of Machine Learning Research 3, 507–554 (2002)
Nielsen, J., Kočka, T., Peña, J.: On local optima in learning bayesian networks. In: Rulff, U., Meek, C. (eds.) Proceedings of the Nineteenth Conference on Uncertainty in Artificial Intelligence, Acapulco, Mexico, pp. 435–442. Morgan Kaufmann, San Francisco (2003)
Beyer, H.G.: Toward a theory of evolution strategies: Self adaptation. Evolutionary Computation 3, 311–347 (1996)
Glover, F., Laguna, M., Martí, R.: Fundamentals of scatter search and path relinking. Control and Cybernetics 39, 653–684 (2000)
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Muruzábal, J., Cotta, C. (2004). A Primer on the Evolution of Equivalence Classes of Bayesian-Network Structures. In: Yao, X., et al. Parallel Problem Solving from Nature - PPSN VIII. PPSN 2004. Lecture Notes in Computer Science, vol 3242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30217-9_62
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DOI: https://doi.org/10.1007/978-3-540-30217-9_62
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