Introduction to Property Testing

en Limba Engleză Hardback – 22 noi 2017

Property testing is concerned with the design of super-fast algorithms for the structural analysis of large quantities of data. The aim is to unveil global features of the data, such as determining whether the data has a particular property or estimating global parameters. Remarkably, it is possible for decisions to be made by accessing only a small portion of the data. Property testing focuses on properties and parameters that go beyond simple statistics. This book provides an extensive and authoritative introduction to property testing. It provides a wide range of algorithmic techniques for the design and analysis of tests for algebraic properties, properties of Boolean functions, graph properties, and properties of distributions.

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Specificații

ISBN-13: 9781107194052
ISBN-10: 1107194059
Pagini: 468
Dimensiuni: 182 x 259 x 30 mm
Greutate: 0.98 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States

Cuprins

1. The main themes; 2. Testing lineriality; 3. Low degree tests; 4. Testing monotonicity; 5. Testing dictatorships, juntas, and monomials; 6. Testing by implicit sampling; 7. Lower bounds techniques; 8. Testing graph properties in the dense graph model; 9. Testing graph properties in the bounded-degree graph model; 10. Testing graph properties in the general graph model; 11. Testing properties of distributions; 12. Ramifications and related topics; 13. Locally testable codes and proofs.

Recenzii

'The book is an authoritative source for information on property testing, having been written by an expert in the area who has been instrumental in its development … The book is laid out as a textbook, with plenty of exercises and didactic comments, and indeed it would form a good basis for a … postgraduate course on property testing … Researchers in other areas of algorithms and computational complexity theory will find the book useful as a source of concepts and techniques. It is also likely to serve as the standard reference text on property testing in the coming years.' Mark R. Jerrum, MathSciNet
'Overall, the book is an excellent and comprehensive read. The range of topics discussed in this book is sufficient to attract many students to use it as reference. It can definitely be used as a reference to an advanced undergraduate level course or a beginning graduate level course.' Sarvagya Upadhyay, SIGACT News

Notă biografică

Descriere

An extensive and authoritative introduction to property testing, the study of super-fast algorithms for analyzing large quantities of data.

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