Scholarlink

Abstract <p>At the mathematical level of rigor, the structure of the cognitive factor model of a complex weakly formalized system (CWFS) is described in the case of using the nonlinear activation function ReLU. The methodology of constructing this model is a generalization of the previously developed approach of the authors, which allows strict estimates using a nonlinear activation function, which is often used in the construction of neural networks. A complex system is represented as a directed graph, the vertices and edges of which are assigned certain values. The article defines a nonlinear procedure for calculating the values of the system’s elements (internal vertices) on a graph depending on external factors (input vertices) and, accordingly, calculating the coefficients of the degree of influence introduced by the authors earlier. In contrast to the linear case, in the nonlinear case, the coefficients of the degree of influence significantly depend on the values of the vertices—elements of the system. As an example, a model natural-technical system related to the determination of the stability of infrastructure facilities built on permafrost soils is studied.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Analysis of Complex Poorly Formalized Natural Engineering Systems Using Cognitive Modeling Technology

  • 期刊论文

  • 发表日期：

    2025年8月31日

查看全文
  • V. I. Baluta,
  • S. S. Varykhanov,
  • V. P. Osipov,
  • Yu. G. Rykov,
  • B. N. Chetverushkin

摘要

Abstract

At the mathematical level of rigor, the structure of the cognitive factor model of a complex weakly formalized system (CWFS) is described in the case of using the nonlinear activation function ReLU. The methodology of constructing this model is a generalization of the previously developed approach of the authors, which allows strict estimates using a nonlinear activation function, which is often used in the construction of neural networks. A complex system is represented as a directed graph, the vertices and edges of which are assigned certain values. The article defines a nonlinear procedure for calculating the values of the system’s elements (internal vertices) on a graph depending on external factors (input vertices) and, accordingly, calculating the coefficients of the degree of influence introduced by the authors earlier. In contrast to the linear case, in the nonlinear case, the coefficients of the degree of influence significantly depend on the values of the vertices—elements of the system. As an example, a model natural-technical system related to the determination of the stability of infrastructure facilities built on permafrost soils is studied.