Application of Mathematical Methods in Artificial Intelligence and Machine Learning Systems
Abstract
The article discusses the key mathematical methods underlying modern artificial intelligence and machine learning systems. Such areas as linear algebra, mathematical analysis, probability theory, optimization, stochastic processes and graph theory are analyzed. It is shown how the mathematical apparatus is used in neural network training, classification algorithms, clustering, and deep learning models. Examples of the use of mathematical methods and references to Russian authors who have made a significant contribution to the development of mathematical support for computer science and AI are given.
Fields of Study & Subjects
Artificial Intelligence Applications
Neural Networks and Applications
Machine Learning and Algorithms
Publication details
- Journal / source
- Bulletin of Science and Practice
- Volume
- 12
- Issue
- 1
- Pages
- 408–414
- Publication date
- 13 January 2026
- Language
- RU