And/Or Trees for Knowledge Representation
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Graph modelling is a modern branch of probability theory concerned with representations for the probability distributions as a product of functions of several variables as a base for possible ways to store high-dimensional distributions by means of a small number of parameters. During the last years, several attempts have been proposed as alternatives in solving this kind of problems [1]–[4]. In most of the practical applications of interest, dependency structures expressed in terms of probability distributions are too complex to allow convenable representations; in such cases, a possible approach could be realised by approximating them keeping the computations at a certain level of complexity but at a convenable accuracy too.
[1] Judea Pearl,et al. Chapter 2 – BAYESIAN INFERENCE , 1988 .
[2] Radim Jirousek,et al. Solution of the marginal problem and decomposable distributions , 1991, Kybernetika.
[3] Judea Pearl,et al. Probabilistic reasoning in intelligent systems - networks of plausible inference , 1991, Morgan Kaufmann series in representation and reasoning.
[4] R. Gallager. Information Theory and Reliable Communication , 1968 .