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An Introduction to Optimization

With Applications to Machine Learning

Edwin K P Chong, Wu-Sheng Lu, Stanislaw H Zak
Hardcover | Engels
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Omschrijving

An Introduction to Optimization

Accessible introductory textbook on optimization theory and methods, with an emphasis on engineering design, featuring MATLAB(R) exercises and worked examples

Fully updated to reflect modern developments in the field, the Fifth Edition of An Introduction to Optimization fills the need for an accessible, yet rigorous, introduction to optimization theory and methods, featuring innovative coverage and a straightforward approach. The book begins with a review of basic definitions and notations while also providing the related fundamental background of linear algebra, geometry, and calculus.

With this foundation, the authors explore the essential topics of unconstrained optimization problems, linear programming problems, and nonlinear constrained optimization. In addition, the book includes an introduction to artificial neural networks, convex optimization, multi-objective optimization, and applications of optimization in machine learning.

Numerous diagrams and figures found throughout the book complement the written presentation of key concepts, and each chapter is followed by MATLAB(R) exercises and practice problems that reinforce the discussed theory and algorithms.

The Fifth Edition features a new chapter on Lagrangian (nonlinear) duality, expanded coverage on matrix games, projected gradient algorithms, machine learning, and numerous new exercises at the end of each chapter.

An Introduction to Optimization includes information on:

  • The mathematical definitions, notations, and relations from linear algebra, geometry, and calculus used in optimization
  • Optimization algorithms, covering one-dimensional search, randomized search, and gradient, Newton, conjugate direction, and quasi-Newton methods
  • Linear programming methods, covering the simplex algorithm, interior point methods, and duality
  • Nonlinear constrained optimization, covering theory and algorithms, convex optimization, and Lagrangian duality
  • Applications of optimization in machine learning, including neural network training, classification, stochastic gradient descent, linear regression, logistic regression, support vector machines, and clustering.

An Introduction to Optimization is an ideal textbook for a one- or two-semester senior undergraduate or beginning graduate course in optimization theory and methods. The text is also of value for researchers and professionals in mathematics, operations research, electrical engineering, economics, statistics, and business.

Specificaties

Betrokkenen

Auteur(s):
Uitgeverij:

Inhoud

Aantal bladzijden:
672
Taal:
Engels

Eigenschappen

Productcode (EAN):
9781119877639
Verschijningsdatum:
10/10/2023
Uitvoering:
Hardcover
Formaat:
Genaaid
Afmetingen:
178 mm x 254 mm
Gewicht:
1365 g
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