THE ROLE OF MATHEMATICAL MODELING IN ARTIFICIAL INTELLIGENCE SYSTEMS
DOI:
https://doi.org/10.55640/Keywords:
Artificial intelligence, mathematical modeling, machine learning, neural networks, optimization, probabilistic models.Abstract
Mathematical modeling plays a fundamental role in the development and functioning of artificial intelligence (AI) systems. It provides a formal framework for representing real-world processes, learning mechanisms, and decision-making strategies. This paper explores the significance of mathematical models in artificial intelligence, focusing on their application in machine learning, neural networks, optimization algorithms, and probabilistic reasoning. The study highlights how mathematical formalization improves system accuracy, interpretability, and scalability. Furthermore, current challenges and future research directions in mathematical modeling for AI systems are discussed.
Downloads
References
1.Bishop, C. M. (2006). Pattern Recognition and Machine Learning. Springer.
2.Goodfellow, I., Bengio, Y., & Courville, A. (2016). Deep Learning. MIT Press.
3.Russell, S., & Norvig, P. (2021). Artificial Intelligence: A Modern Approach. Pearson.
4.Vapnik, V. N. (1998). Statistical Learning Theory. Wiley.
5.Murphy, K. P. (2012). Machine Learning: A Probabilistic Perspective. MIT Press.
Downloads
Published
Issue
Section
License

This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain the copyright of their manuscripts, and all Open Access articles are disseminated under the terms of the Creative Commons Attribution License 4.0 (CC-BY), which licenses unrestricted use, distribution, and reproduction in any medium, provided that the original work is appropriately cited. The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations.

Germany
United States of America
Italy
United Kingdom
France
Canada
Uzbekistan
Japan
Republic of Korea
Australia
Spain
Switzerland
Sweden
Netherlands
China
India