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Understanding Machine Learning:
From Theory to Algorithms
c
2014 by Shai Shalev-Shwartz and Shai Ben-David
Published 2014 by Cambridge University Press.
This copy is for personal use only. Not for distribution.
Do not post. Please link to:
http://www.cs.huji.ac.il/
~
shais/UnderstandingMachineLearning
Please note: This copy is almost, but not entirely, identical to the printed version
of the book. In particular, page numbers are not identical (but section numbers are the
same).
Understanding Machine Learning
Machine learning is one of the fastest growing areas of computer science,
with far-reaching applications. The aim of this textbook is to introduce
machine learning, and the algorithmic paradigms it offers, in a princi-
pled way. The book provides an extensive theoretical account of the
fundamental ideas underlying machine learning and the mathematical
derivations that transform these principles into practical algorithms. Fol-
lowing a presentation of the basics of the field, the book covers a wide
array of central topics that have not been addressed by previous text-
books. These include a discussion of the computational complexity of
learning and the concepts of convexity and stability; important algorith-
mic paradigms including stochastic gradient descent, neural networks,
and structured output learning; and emerging theoretical concepts such as
the PAC-Bayes approach and compression-based bounds .Designedfor
an advanced undergraduate or beginning graduate course, the text makes
the fundamentals and algorithms of machine learning accessible to stu-
dents and nonexpert readers in statistics, computer science, mathematics,
and engineering.
Shai Shalev-Shwartz is an Associate Professor at the School of Computer
Science and Engineering at The Hebrew University, Israel.
Shai Ben-David is a Professor in the School of Computer Science at the
University of Waterloo, Canada.
UNDERSTANDING
MACHINE LEARNING
From Theory to
Algorithms
Shai Shalev-Shwartz
The Hebrew University, Jerusalem
Shai Ben-David
University of Waterloo, Canada
32 Avenue of the Americas, New York, NY 10013-2473, USA
Cambridge University Press is part of the University of Cambridge.
It furthers the University’s mission by disseminating knowledge in the pursuit of
education, learning and research at the highest international levels of excellence.
www.cambridge.org
Information on this title: www.cambridge.org/9781107057135
c
Shai Shalev-Shwartz and Shai Ben-David 2014
This publication is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without the written
permission of Cambridge University Press.
First published 2014
Printed in the United States of America
AcatalogrecordforthispublicationisavailablefromtheBritishLibrary
Library of Congress Cataloging in Publication Data
ISBN 978-1-107-05713-5 Hardback
Cambridge University Press has no responsibility for the persistence or accuracy of
URLs for external or third-party Internet Web sites referred to in this publication,
and does not guarantee that any content on such Web sites is, or will remain,
accurate or appropriate.
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