Innovative Application of Mathematical Theory Driven by AI

Abstract

Against the backdrop of the continuous development of artificial intelligence, mathematical theory, as the core support of intelligent systems, is undergoing a gradual reconstruction in its modes of expression and modeling logic. Centered on the theme of "Innovative Application of Mathematical Theory Driven by AI," this paper constructs a "logic–mechanism–structure" integrated analytical framework, focusing on the embedding mechanisms of mathematics in neural networks, probabilistic models, symbolic reasoning, and general intelligent architectures. The study indicates that AI not only relies on mathematical theory to provide a foundation for formalized expression and structural modeling but also, in turn, promotes its evolution in areas such as language systems and graph structures. Mathematics is accelerating its transformation toward modular, procedural, and transferable open systems, providing crucial support for the construction of future intelligent systems.