Mathematical Foundations of Deep Learning Models and Algorithms by Konstantinos Spiliopoulos

Mathematical Foundations of Deep Learning Models and Algorithms by Konstantinos Spiliopoulos

Deep learning uses multi-layer neural networks to model complex data patterns. Large models-with millions or even billions of parameters-are trained on massive datasets. This approach has produced revolutionary advances in image, text, and speech recognition and also has potential applications in a range of other fields such as engineering, finance, mathematics, and medicine. This book provides an introduction to the mathematical theory underpinning the recent advances in deep learning. Detailed derivations as well as mathematical proofs are presented for many of the models and optimization methods which are commonly used in machine learning and deep learning. Applications, code, and practical approaches to training models are also included. The book is designed for advanced undergraduates, graduate students, practitioners, and researchers. Divided into two parts, it begins with mathematical foundations before tackling advanced topics in approximation, optimization, and neural network training. Part 1 is written for a general audience, including students in mathematics, statistics, computer science, data science, or engineering, while select chapters in Part 2 present more advanced mathematical theory requiring familiarity with analysis, probability, and stochastic processes. Together, they form an ideal foundation for an introductory course on the mathematics of deep learning. Thoughtfully designed exercises and a companion website with code examples enhance both theoretical understanding and practical skills, preparing readers to engage more deeply with this fast-evolving field.

Konstantinos Spiliopoulos, Boston University, MA.

Richard B. Sowers, University of Illinois at Urbana Champaign, Illinois.

Justin Sirignano, University of Oxford, United Kingdom

SKU	Unavailable
ISBN 13	9781470481087
ISBN 10	1470481081
Title	Mathematical Foundations of Deep Learning Models and Algorithms
Author	Konstantinos Spiliopoulos
Series	Graduate Studies In Mathematics
Condition	Unavailable
Binding Type	Hardback
Publisher	American Mathematical Society
Year published	2025-12-31
Number of pages	550
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.