Vladimir Temlyakov: Greedy Approximation

Cover: 9781107003378 | Greedy Approximation | Vladimir Temlyakov | Buch | Gebunden | Englisch

Rückseite: 9781107003378 | Greedy Approximation | Vladimir Temlyakov | Buch | Gebunden | Englisch

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Sprache: Englisch

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Beschreibung

This first book on greedy approximation gives a systematic presentation of the fundamental results. It also contains an introduction to two hot topics in numerical mathematics: learning theory and compressed sensing. Nonlinear approximation is becoming increasingly important, especially since two types are frequently employed in applications: adaptive methods are used in PDE solvers, while m-term approximation is used in image/signal/data processing, as well as in the design of neural networks. The fundamental question of nonlinear approximation is how to devise good constructive methods (algorithms) and recent results have established that greedy type algorithms may be the solution. The author has drawn on his own teaching experience to write a book ideally suited to graduate courses. The reader does not require a broad background to understand the material. Important open problems are included to give students and professionals alike ideas for further research.

Über den Autor

Vladimir Temlyakov is Carolina Distinguished Professor in the Department of Mathematics at the University of South Carolina.

Inhaltsverzeichnis

Preface; 1. Greedy approximation with respect to bases; 2. Greedy approximation with respect to dictionaries: Hilbert spaces; 3. The entropy; 4. Approximation in learning theory; 5. Approximation in compressed sensing; 6. Greedy approximation with respect to dictionaries: Banach spaces; References; Index.

Details

Erscheinungsjahr:	2018
Fachbereich:	Programmiersprachen
Genre:	Importe , Informatik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	Gebunden
ISBN-13:	9781107003378
ISBN-10:	1107003377
Sprache:	Englisch
Einband:	Gebunden
Autor:	Temlyakov, Vladimir
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	235 x 157 x 30 mm
Von/Mit:	Vladimir Temlyakov
Erscheinungsdatum:	03.08.2018
Gewicht:	0,851 kg