Cantitate/Preț
Produs

Learning Theory: An Approximation Theory Viewpoint: Cambridge Monographs on Applied and Computational Mathematics, cartea 24

Autor Felipe Cucker, Ding Xuan Zhou
en Limba Engleză Hardback – 28 mar 2007
The goal of learning theory is to approximate a function from sample values. To attain this goal learning theory draws on a variety of diverse subjects, specifically statistics, approximation theory, and algorithmics. Ideas from all these areas blended to form a subject whose many successful applications have triggered a rapid growth during the last two decades. This is the first book to give a general overview of the theoretical foundations of the subject emphasizing the approximation theory, while still giving a balanced overview. It is based on courses taught by the authors, and is reasonably self-contained so will appeal to a broad spectrum of researchers in learning theory and adjacent fields. It will also serve as an introduction for graduate students and others entering the field, who wish to see how the problems raised in learning theory relate to other disciplines.
Citește tot Restrânge

Din seria Cambridge Monographs on Applied and Computational Mathematics

Preț: 52352 lei

Preț vechi: 65440 lei
-20% Nou

Puncte Express: 785

Preț estimativ în valută:
10020 10570$ 8350£

Carte tipărită la comandă

Livrare economică 02-16 ianuarie 25

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780521865593
ISBN-10: 052186559X
Pagini: 238
Ilustrații: 20 b/w illus.
Dimensiuni: 160 x 231 x 17 mm
Greutate: 0.36 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria Cambridge Monographs on Applied and Computational Mathematics

Locul publicării:New York, United States

Cuprins

Preface; Foreword; 1. The framework of learning; 2. Basic hypothesis spaces; 3. Estimating the sample error; 4. Polynomial decay approximation error; 5. Estimating covering numbers; 6. Logarithmic decay approximation error; 7. On the bias-variance problem; 8. Regularization; 9. Support vector machines for classification; 10. General regularized classifiers; Bibliography; Index.

Recenzii

'The book is well suited for its target audience, which includes researchers and graduate students. They will, no doubt, be reassured to find that each chapter closes with a collection of references and additional remarks, which place the preceding information in a wider context. … Overall, this text is another excellent addition to the Applied and Computational Mathematics series published by Cambridge University Press. It complements other titles in the series without duplicating material and should be of value to anyone interested in learning theory or a neighbouring field.' Mathematics Today
'… the book under review focuses on the mathematical foundations of learning theory. It is an excellent monograph on the subject. A major novelty is the focus on the point of view of approximation. This distinguishes the book from the majority of previous works on learning theory, which share a prevalent statistics/computer science flavor. However, this doesn't mean at all that the monograph is written only for 'approximation people'. On the contrary, it nicely provides a general overview of the theoretical foundations of the subject also to a broad spectrum of researchers in learning and related fields.' Mathematical Reviews

Notă biografică


Descriere

A general overview of theoretical foundations; the first book to emphasize the approximation theory viewpoint.