Property Testing
Problems and Techniques
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Beschreibung
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.
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.
Introduces important results and techniques in property testing Shows characterizations of constant-query testable properties Written in a self-contained style
Autor*in
Arnab Bhattacharyya
Themen in »Property Testing«
Algorithms Theory Property testing Sublinear-time Algorithms Data Science Big Data
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“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)
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