Learning Bayesisan Networks by Genetic Algorithms: A Case Study in the Prediction of Survival in Malignant Skin Melanoma

In this work we introduce a methodology based on Genetic Algorithms for the automatic induction of Bayesian Networks from a file containing cases and variables related to the problem. The methodology is applied to the problem of predicting survival of people after one, three and five years of being diagnosed as having malignant skin melanoma. The accuracy of the obtained model, measured in terms of the percentage of well-classified subjects, is compared to that obtained by the so-called Naive-Bayes. In both cases, the estimation of the model accuracy is obtained from the 10-fold cross-validation method.

[1]  A. Gray,et al.  I. THE ORIGIN OF SPECIES BY MEANS OF NATURAL SELECTION , 1963 .

[2]  Michael I. Jordan Graphical Models , 1998 .

[3]  Edzard S. Gelsema,et al.  Abductive reasoning in Bayesian belief networks using a genetic algorithm , 1995, Pattern Recognit. Lett..

[4]  Gregory M. Provan,et al.  Learning Bayesian Networks Using Feature Selection , 1995, AISTATS.

[5]  Mark A. Kramer,et al.  GALGO: A Genetic ALGOrithm Decision Support Tool for Complex Uncertain Systems Modeled with Bayesian Belief Networks , 1993, UAI.

[6]  L. N. Kanal,et al.  Uncertainty in Artificial Intelligence 5 , 1990 .

[7]  Pedro Larrañaga,et al.  Learning Bayesian network structures by searching for the best ordering with genetic algorithms , 1996, IEEE Trans. Syst. Man Cybern. Part A.

[8]  Remco R. Bouckaert,et al.  Properties of Bayesian Belief Network Learning Algorithms , 1994, UAI.

[9]  Pedro Larrañaga,et al.  Structure Learning of Bayesian Networks by Hybrid Genetic Algorithms , 1995, AISTATS.

[10]  Pedro Larrañaga,et al.  Structure Learning of Bayesian Networks by Genetic Algorithms: A Performance Analysis of Control Parameters , 1996, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Judea Pearl,et al.  Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.

[12]  R. W. Robinson Counting unlabeled acyclic digraphs , 1977 .

[13]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[14]  Finn Verner Jensen,et al.  Introduction to Bayesian Networks , 2008, Innovations in Bayesian Networks.

[15]  Gregory F. Cooper,et al.  An Entropy-driven System for Construction of Probabilistic Expert Systems from Databases , 1990, UAI.

[16]  Pedro Larrañaga,et al.  Genetic algorithms applied to Bayesian networks , 1996 .

[17]  D. Hogben,et al.  Tenth Annual Conference , 1969 .

[18]  Gregory F. Cooper,et al.  The ALARM Monitoring System: A Case Study with two Probabilistic Inference Techniques for Belief Networks , 1989, AIME.

[19]  Wai Lam,et al.  LEARNING BAYESIAN BELIEF NETWORKS: AN APPROACH BASED ON THE MDL PRINCIPLE , 1994, Comput. Intell..

[20]  Kristian G. Olesen,et al.  HUGIN - A Shell for Building Bayesian Belief Universes for Expert Systems , 1989, IJCAI.

[21]  David J. Spiegelhalter,et al.  Local computations with probabilities on graphical structures and their application to expert systems , 1990 .

[22]  Remco R. Bouckaert,et al.  Optimizing Causal Orderings for Generating DAGs from Data , 1992, UAI.