Optimization and Learning via Stochastic Gradient Search (Hardcover)

Professor Felisa Vazquez-Abad

ISBN 10: 069124586X / ISBN 13: 9780691245867

Verlag: Princeton University Press, New Jersey, 2025

Beschreibung

Hardcover. An introduction to gradient-based stochastic optimization that integrates theory and implementationThis book explains gradient-based stochastic optimization, exploiting the methodologies of stochastic approximation and gradient estimation. Although the approach is theoretical, the book emphasizes developing algorithms that implement the methods. The underlying philosophy of this book is that when solving real problems, mathematical theory, the art of modeling, and numerical algorithms complement each other, with no one outlook dominating the others.The book first covers the theory of stochastic approximation including advanced models and state-of-the-art analysis methodology, treating applications that do not require the use of gradient estimation. It then presents gradient estimation, developing a modern approach that incorporates cutting-edge numerical algorithms. Finally, the book culminates in a rich set of case studies that integrate the concepts previously discussed into fully worked models. The use of stochastic approximation in statistics and machine learning is discussed, and in-depth theoretical treatments for selected gradient estimation approaches are included.Numerous examples show how the methods are applied concretely, and end-of-chapter exercises enable readers to consolidate their knowledge. Many chapters end with a section on "Practical Considerations" that addresses typical tradeoffs encountered in implementation. The book provides the first unified treatment of the topic, written for a wide audience that includes researchers and graduate students in applied mathematics, engineering, computer science, physics, and economics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

Bestandsnummer des Verkäufers 9780691245867

Bibliografische Details

• Titel: Optimization and Learning via Stochastic Gradient Search (Hardcover)
• Verlag: Princeton University Press, New Jersey
• Erscheinungsjahr: 2025
• Sprache: Englisch
• ISBN-10: 069124586X
• ISBN-13: 9780691245867
• Einband: Hardcover
• Zustand: new

Über diesen Titel

Inhaltsangabe

An introduction to gradient-based stochastic optimization that integrates theory and implementation

This book explains gradient-based stochastic optimization, exploiting the methodologies of stochastic approximation and gradient estimation. Although the approach is theoretical, the book emphasizes developing algorithms that implement the methods. The underlying philosophy of this book is that when solving real problems, mathematical theory, the art of modeling, and numerical algorithms complement each other, with no one outlook dominating the others.

The book first covers the theory of stochastic approximation including advanced models and state-of-the-art analysis methodology, treating applications that do not require the use of gradient estimation. It then presents gradient estimation, developing a modern approach that incorporates cutting-edge numerical algorithms. Finally, the book culminates in a rich set of case studies that integrate the concepts previously discussed into fully worked models. The use of stochastic approximation in statistics and machine learning is discussed, and in-depth theoretical treatments for selected gradient estimation approaches are included.

Numerous examples show how the methods are applied concretely, and end-of-chapter exercises enable readers to consolidate their knowledge. Many chapters end with a section on “Practical Considerations” that addresses typical tradeoffs encountered in implementation. The book provides the first unified treatment of the topic, written for a wide audience that includes researchers and graduate students in applied mathematics, engineering, computer science, physics, and economics.

Über die Autorin bzw. den Autor

Felisa Vázquez-Abad is professor of computer science at City University of New York and principal investigator in the School of Computing and Information Systems at the University of Melbourne. Bernd Heidergott is professor of stochastic optimization in the Department of Operations Analytics at the School of Business and Economics and research fellow at Tinbergen Institute, Amsterdam.