Learning Theory: An Approximation Theory Viewpoint: Cambridge Monographs on Applied and Computational Mathematics, cartea 24
Autor Felipe Cucker, Ding Xuan Zhouen Limba Engleză Hardback – 28 mar 2007
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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
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
'… 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.