Overview
- Introduces important results and techniques in property testing
- Shows characterizations of constant-query testable properties
- Written in a self-contained style
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About this book
This book introduces important results and techniques in property testing, where the goal is to design algorithms that decide whether their input satisfies a predetermined property in sublinear time, or even in constant time – that is, time is independent of the input size.
This book consists of three parts. The first part provides an introduction to the foundations of property testing. The second part studies the testing of specific properties on strings, graphs, functions, and constraint satisfaction problems. Vectors and matrices over real numbers are also covered. The third part is more advanced and explains general conditions, including full characterizations, under which properties are constant-query testable.
The first and second parts of the book are intended for first-year graduate students in computer science. They should also be accessible to undergraduate students with the adequate background. The third part can be used by researchers or ambitious graduate students who want to gain a deeper theoretical understanding of property testing.
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Keywords
Table of contents (13 chapters)
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Front Matter
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Part I
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Front Matter
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Part III
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Front Matter
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Back Matter
Reviews
“I believe that the book has lot to offer for readers interested in property testing. … I will recommend this book as a reference to advanced graduate students. … I personally learnt a lot from this book … and I firmly believe that this book will be a great reference to a researcher who wants to know more on this topic or related topics.” (Sarvagya Upadhyay, SIGACT News, Vol. 54 (2), 2023)
Authors and Affiliations
About the authors
Arnab Bhattacharyya obtained his Ph.D. from the Massachusetts Institute of Technology in 2012 and is currently an assistant professor at the National University of Singapore. He is a recipient of the Singapore National Research Foundation Fellowship for AI (2019) and the Ramanujan Fellowship in India (2014). His research area is in the theoretical foundations of data science.
Yuichi Yoshida received a Ph.D. from Kyoto University in 2012 and is currently an associate professor at National Institute of Informatics, Japan. He is awarded JSPS Ikushi Prize in 2012 and the Commendation for Science and Technology by the Minister of Education, Culture, Sports, Science and Technology (The Young Scientists’ Prize) in 2017. His research interest is theoretical foundation of big data.
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Bibliographic Information
Book Title: Property Testing
Book Subtitle: Problems and Techniques
Authors: Arnab Bhattacharyya, Yuichi Yoshida
DOI: https://doi.org/10.1007/978-981-16-8622-1
Publisher: Springer Singapore
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd 2022
Hardcover ISBN: 978-981-16-8621-4Published: 09 March 2022
Softcover ISBN: 978-981-16-8624-5Published: 10 March 2023
eBook ISBN: 978-981-16-8622-1Published: 08 March 2022
Edition Number: 1
Number of Pages: XIX, 427
Number of Illustrations: 13 b/w illustrations
Topics: Algorithm Analysis and Problem Complexity, Algorithms