Learning with imprecise probabilities as model selection and averaging

International Journal of Approximate Reasoning - Tập 109 - Trang 111-124 - 2019
Serafín Moral1
1Dpto. Ciencias de la Computación e Inteligencia Artificial, ETSI Informática, Universidad de Granada, 18071, Granada, Spain

Tài liệu tham khảo

Claeskens, 2008 Burnham, 2004, Multimodel inference: understanding aic and bic in model selection, Sociol. Methods Res., 33, 261, 10.1177/0049124104268644 Gärdenfors, 1982, Unreliable probabilities, risk taking, and decision making, Synthese, 53, 361, 10.1007/BF00486156 Cano, 1991, Combination of upper and lower probabilities, 61 Cattaneo, 2014, A continuous updating rule for imprecise probabilities, 426 Pawitan, 2001 Walley, 1996, Inferences from multinomial data: learning about a bag of marbles (with discussion), J. R. Stat. Soc. Ser. B, 58, 3 Cozman, 2000, Credal networks, Artif. Intell., 120, 199, 10.1016/S0004-3702(00)00029-1 Hyndman, 1996, Computing and graphing highest density regions, Am. Stat., 50, 120 Schervish, 2012 Couso, 2011, Sets of desirable gambles: conditioning, representation, and precise probabilities, Int. J. Approx. Reason., 52, 1034, 10.1016/j.ijar.2011.04.004 Walley, 2000, Towards a unified theory of imprecise probability, Int. J. Approx. Reason., 24, 125, 10.1016/S0888-613X(00)00031-1 Quaeghebeur, 2014, Desirability, 1 Shafer, 1976 Huber, 1981 Moral, 2018, Discounting imprecise probabilities, 685 Kadane, 2004, Methods and criteria for model selection, J. Am. Stat. Assoc., 99, 279, 10.1198/016214504000000269 De Bock, 2015, Conditioning, updating and lower probability zero, Int. J. Approx. Reason., 67, 1, 10.1016/j.ijar.2015.08.006 Walley, 1991 Troffaes, 2007, Decision making under uncertainty using imprecise probabilities, Int. J. Approx. Reason., 45, 17, 10.1016/j.ijar.2006.06.001 Casella, 1985, An introduction to empirical Bayes data analysis, Am. Stat., 39, 83 Heckerman, 1995, Learning Bayesian networks: the combination of knowledge and statistical data, Mach. Learn., 20, 197, 10.1007/BF00994016 Masegosa, 2014, Imprecise probability models for learning multinomial distributions from data. Applications to learning credal networks, Int. J. Approx. Reason., 55, 1548, 10.1016/j.ijar.2013.09.019 Piatti, 2007, Learning about a categorical latent variable under prior near-ignorance, 357 Bozdogan, 1987, Model selection and Akaike's information criterion (aic): the general theory and its analytical extensions, Psychometrika, 52, 345, 10.1007/BF02294361 Schwarz, 1978, Estimating the dimension of a model, Ann. Stat., 6, 461, 10.1214/aos/1176344136 Pearl, 1988 Liao Moral, 2004, An empirical comparison of score measures for independence, 1307 Silander, 2007, On sensitivity of the map Bayesian network structure to the equivalent sample size parameter, 360 Dubois, 1997, A semantics for possibility theory based on likelihoods, J. Math. Anal. Appl., 205, 359, 10.1006/jmaa.1997.5193