September 5, 2025Open Access

A Comprehensive Mathematical Exposition of Machine Learning Algorithms and Applications

Puntos clave

Machine learning deeply relies on mathematical concepts like linear algebra and probability to function effectively.
The application of optimization techniques is crucial in enhancing machine learning algorithms' performance.
A comprehensive understanding of calculus is essential for grasping the continuous processes in machine learning.
The mathematical foundations highlighted are integral to the development of intelligent systems in AI.

Resumen

A deep dive into the mathematical foundations of artificial intelligence that is both brief and comprehensive. The purpose of this article is to shed light on the fundamental rigor that lies behind every intelligent system by illuminating how the beautiful concepts of linear algebra, calculus, probability, and optimization drive machine learning's capacity to learn, adapt, and tackle the world's most challenging tasks.

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Cite This Study

Essang et al. (Wed,) studied this question.

synapsesocial.com/papers/68bb49c46d6d5674bccff8cb https://doi.org/https://doi.org/10.36347/sjpms.2025.v12i07.005

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