Introduction to Nonsmooth Optimization
Theory, Practice and Software
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Beschreibung
This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics, and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO, and provides an overview of different problems arising in the field. It is organized into three parts:
1.convex and nonconvex analysis and the theory of NSO;
2.test problems and practical applications;
3.a guide to NSO software.
The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.This book is the first easy-to-read text on nonsmooth optimization (NSO, not necessarily differentiable optimization). Solving these kinds of problems plays a critical role in many industrial applications and real-world modeling systems, for example in the context of image denoising, optimal control, neural network training, data mining, economics and computational chemistry and physics. The book covers both the theory and the numerical methods used in NSO and provide an overview of different problems arising in the field. It is organized into three parts:
1. convex and nonconvex analysis and the theory of NSO;
2. test problems and practical applications;
3. a guide to NSO software.
The book is ideal for anyone teaching or attending NSO courses. As an accessible introduction to the field, it is also well suited as an independent learning guide for practitioners already familiar with the basics of optimization.Attempts to be the first easy-to-read book about nonsmooth optimization Covers both the theory and the numerical methods used in nonsmooth optimization and offers a survey of different problems arising in the field Both, the theory and the most common problems are illustrated with examples making the book also suitable both for teaching purposes and self-access learning Includes supplementary material: sn.pub/extras
Autor*in
Adil Bagirov
Themen in »Introduction to Nonsmooth Optimization«
Bundle methods Nondifferentiable optimization Nonsmooth analysis Subgradient methods Test problems
Stimmen zu »Introduction to Nonsmooth Optimization«
“This textbook can be useful for students to gain a panoramic view of the theory of nonsmooth optimization and of several practical applications that result in nondifferentiable optimization problems. The guide on numerical methods and software description in the final part can mostly be seen as a pointer to other books or articles with details and explanations.” (Claudia A. Sagastizábal, Mathematical Reviews, February, 2016)
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