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By Edited by: Ahmed Rebai

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Of Uncertainty in Artificial Intelligence, Morgan Kaufmann, San Francisco, CA, pp. 102–110. 36 Bayesian Network Bozdogan, H. (1987). Model selection and akaike’s information criteria (AIC): The general theory and its analytical extentions, Psychometrika 52: 354–370. Charniak, E. (1991). Bayesian networks without tears, AI Magazine 12(4): 50–63. , Bell, D. A. & Liu, W. (2002). Learning belief networks from data: An information theory based approach, Artificial Intelligence 1-2: 43–90. Chickering, D.

For example, the probability that the sprinkler was on, given that the pavement is slippery, is P( X3 = on| X5 = true) P( X3 = on, X5 = true) = P( X5 = true) ∑ x1 ,x2 ,x4 P( x1 , x2 , X3 = on, x4 , X5 = true) = ∑ x1 ,x2 ,x3 ,x4 P( x1 , x2 , x3 , x4 , X5 = true) = (4) ∑ x1 ,x2 ,x4 P( x1 ) P( x2 | x1 ) P( X3 = on| x1 ) P( x4 | x2 , X3 = on) P( X5 = true| x4 ) ∑ x1 ,x2 ,x3 ,x4 P( x1 ) P( x2 | x1 ) P( x3 | x1 ) P( x4 | x2 , x3 ) P( X5 = true| x4 ) These expressions can often be simplified in the ways that reflect the structure of the network itself.

Statistical predictor identification, Ann. Inst. Stat. Math. 22(1): 203–217. , Sun, C. & Farneba¨ck, G. (2000). Algorithm performance contest, Proc. of ICPR, pp. 4870–4876. , Pattipati, K. & Willett, P. (2004). Detecting, tracking and counteracting terrorist networks via hidden markov models, Proc. of IEEE Aero. Conf. Bäck, T. (1993). Optimal mutation rates in genetic search, Proc. of Int. Conf. on Genetic Algorithms, Morgan Kaufmann, San Mateo (CA), pp. 2–8. , Tabbone, S. & Nourrissier, P. (2007).

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