Introduction to property testing
著者
書誌事項
Introduction to property testing
Cambridge University Press, 2017
- : hardback
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注記
Includes bibliographical references (p. 429-441) and index
内容説明・目次
内容説明
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.
目次
- 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.
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