arXiv:2512.10988q-bio.NCcs.AI2025-12被引 1

用数学建模大脑认知结构,揭示自然智能的运作机制。

Mathematics of natural intelligence

  • 基于认知网络(cognitome)构建神经超网络模型
  • 统一解释分类、功能系统、因果推理等认知理论
  • 适合认知科学与通用人工智能研究者阅读

进化使大脑达到人工系统无法企及的完善程度,需要其专属的数学体系。本文以院士K.V. Anokhin提出的认知组(cognitome)概念为基础,将其视为脑的高阶结构与神经超网络,认为意识是该超网络中大规模认知元素的动态整合。认知组由两类认知神经群(COGs)——功能系统与细胞集合——相互连接构成。论文基于新数学成果,建立这些结构的数学模型,并在此基础上建模多种认知过程。进一步表明,这些模型可源自大脑工作的一般原则:‘大脑发现外部世界所有可能的因果关系并从中推导出所有可能结论’。基于此,论文构建了‘自然分类’、P.K. Anokhin的功能系统理论、E. Roche的原型范畴化理论、Bob Rehter的因果模型理论以及G. Tononi的整合信息意识理论的数学模型。

原文摘要 · Abstract (English)

In the process of evolution, the brain has achieved such perfection that artificial intelligence systems do not have and which needs its own mathematics. The concept of cognitome, introduced by the academician K.V. Anokhin, as the cognitive structure of the mind -- a high-order structure of the brain and a neural hypernetwork, is considered as the basis for modeling. Consciousness then is a special form of dynamics in this hypernetwork -- a large-scale integration of its cognitive elements. The cognitome, in turn, consists of interconnected COGs (cognitive groups of neurons) of two types -- functional systems and cellular ensembles. K.V. Anokhin sees the task of the fundamental theory of the brain and mind in describing these structures, their origin, functions and processes in them. The paper presents mathematical models of these structures based on new mathematical results, as well as models of different cognitive processes in terms of these models. In addition, it is shown that these models can be derived based on a fairly general principle of the brain works: \textit{the brain discovers all possible causal relationships in the external world and draws all possible conclusions from them}. Based on these results, the paper presents models of: ``natural" classification; theory of functional brain systems by P.K. Anokhin; prototypical theory of categorization by E. Roche; theory of causal models by Bob Rehter; theory of consciousness as integrated information by G. Tononi.

认知科学神经网络数学建模

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