Approximation Theory and Algorithms for Data Analysis

• Main Author: Iske, Armin (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: Texts in Applied Mathematics, 68
• Subjects: Approximation theory.; Computer mathematics.; Signal processing.; Image processing.; Speech processing systems.; Approximations and Expansions.; Computational Mathematics and Numerical Analysis.; Signal, Image and Speech Processing.

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 ana...

Table of Contents:

• 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.