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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2022 Volume 508, Pages 111–127 (Mi danma348)

ADVANCED STUDIES IN ARTIFICIAL INTELLIGENCE AND MACHINE LEARNING

Brain principles programming

E. E. Vityaevab, A. G. Koloninb, A. V. Kurpatovc, A. A. Molchanovc

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Sberbank of Russia, Neuroscience Lab, Moscow, Russia

Abstract: The monograph “Strong Artificial Intelligence. On the Approaches to Superintelligence”, referenced by this paper, provides a cross-disciplinary review of Artificial General Intelligence (AGI). As an anthropomorphic direction of research, it considers Brain Principles Programming (BPP)–the formalization of universal mechanisms (principles) of the brain’s work with information, which are implemented at all levels of the organization of nervous tissue. This monograph provides a formalization of these principles in terms of the category theory. However, this formalization is not enough to develop algorithms for working with information. In this paper, for the description and modeling of BPP, it is proposed to apply mathematical models and algorithms developed by us earlier that modeling cognitive functions, which are based on well-known physiological, psychological and other natural science theories. The paper uses mathematical models and algorithms of the following theories: P.K. Anokhin’s Theory of Functional Brain Systems, Eleonor Rosch’s prototypical categorization theory, Bob Rehder’s theory of causal models and “natural” classification. As a result, the formalization of the BPP is obtained and computer examples are given that demonstrate the algorithms operation.

Keywords: brain principles, categorization, category theory, formal concepts.

Presented: S. S. Goncharov
Received: 05.11.2022
Revised: 07.11.2022
Accepted: 08.11.2022

DOI: 10.31857/S2686954322070219


 English version:
Doklady Mathematics, 2022, 106:suppl. 1, S101–S112

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© Steklov Math. Inst. of RAS, 2024