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Approximation Theory and Algorithms for Data Analysis

Author: Armin Iske
Publisher: Cham : Springer International Publishing, 2018
Series: Texts in applied mathematics, 68.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
"This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization  Read more...
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Details

Genre/Form: Llibres electrònics
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Armin Iske
ISBN: 9783030052287 3030052281
OCLC Number: 1107683072
Description: 1 recurs en línia (1 recurs en línia (X, 358 pàgines) :) il·lustracions.
Contents: Conté: 1 Introduction --
2 Basic Methods and Numerical Analysis --
3 Best Approximations --
4 Euclidean Approximations --
5 Chebyshev Approximations --
6 Asymptotic Results --
7 Basic Concepts of Signal Approximation --
8 Kernel-Based Approximation --
9 Computational Topology --
References --
Subject Index --
Name Index.
Series Title: Texts in applied mathematics, 68.
Responsibility: by Armin Iske.

Abstract:

"This textbook offers an accessible introduction to the theory and numerics of approximation methods, combining classical topics of approximation with recent advances in mathematical signal processing, and adopting a constructive approach, in which the development of numerical algorithms for data analysis plays an important role. The following topics are covered: * least-squares approximation and regularization methods * interpolation by algebraic and trigonometric polynomials * basic results on best approximations * Euclidean approximation * Chebyshev approximation * asymptotic concepts: error estimates and convergence rates * signal approximation by Fourier and wavelet methods * kernel-based multivariate approximation * approximation methods in computerized tomography Providing numerous supporting examples, graphical illustrations, and carefully selected exercises, this textbook is suitable for introductory courses, seminars, and distance learning programs on approximation for undergraduate students.". -- Prové de l'editor.

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