Description
Mathematical Foundations of Artificial Intelligence: Basics of Manifold Theory by Momiao Xiong offers a rigorous introduction to the mathematical principles underlying contemporary artificial intelligence. The book focuses on manifold theory, a crucial mathematical framework for understanding high-dimensional data and complex AI models.
This text bridges the gap between pure mathematics and practical AI applications, providing readers with the theoretical knowledge necessary to comprehend and develop advanced machine learning algorithms. The content covers essential topics including geometric properties of manifolds, dimensionality reduction techniques, and their direct applications in neural networks and deep learning.
Published by Chapman & Hall, this work serves as an invaluable resource for students, researchers, and practitioners seeking to deepen their understanding of the mathematical underpinnings of artificial intelligence. Whether you’re developing AI systems or studying theoretical foundations, this book provides essential insights into how manifold theory powers modern machine learning.







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