ON THE UNIVERSALITY OF BAYESIAN NETWORKS IN THE CONTEXT OF DATA INDEPENDENCE
Vladimir Moiseevich Reznikov1,2
1Novosibirsk National Research State University, 2, Pirogov st., Novosibirsk, 630090, Russia
2Institute of Philosophy and Law, SB RAS, 8, Nikolaev st. Novosibirsk, 630090
Keywords: независимость, теория вероятностей, байесовские сети, теорема Байеса, экспертные системы, independence, probability theory, Bayesian networks, Bayesian theorem, expert systems
Abstract
Kolmogorov’s contemporaries Borel, Frechet and Levy believed that Kolmogorov’s request for the prox It is known that the efficiency of application of the probability theory, mathematical statistics and Bayesian networks depends on using the independence property. The article shows that there are no universal approaches to definition of independence. We believe that A.N. Kolmogorov’s and Yu.V. Shachkov’s opinion that the lack of philosophical study of the category of independence impedes providing a general definition of independence in mathematics is correct.
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