Learning Theory by Felipe Cucker

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Summary

The goal of learning theory is to approximate a function from sample values. This is a general overview of the theoretical foundations, and is the first book to emphasize the approximation theory viewpoint. This emphasis provides a balanced approach, and will attract mathematicians to the problems raised.

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Learning Theory by Felipe Cucker

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.
'The book is well suited for its target audience, which includes researchers and graduate studentsThey 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
Felipe Cucker is a Professor of Mathematics at the City University of Hong Kong. Ding Xuan Zhou is an Associate Professor in the Department of Mathematics at the City University of Hong Kong.
SKU Unavailable
ISBN 13 9780521865593
ISBN 10 052186559X
Title Learning Theory
Author Felipe Cucker
Series Cambridge Monographs On Applied And Computational Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Cambridge University Press
Year published 2007-03-29
Number of pages 238
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.