Oded GoldreichCambridge University Press, 11/23/2017EAN 9781107194052, ISBN10: 1107194059Hardcover, 468 pages, 25.9 x 18.2 x 3 cmLanguage: EnglishProperty 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.1. The main themes2. Testing lineriality3. Low degree tests4. Testing monotonicity5. Testing dictatorships, juntas, and monomials6. Testing by implicit sampling7. Lower bounds techniques8. Testing graph properties in the dense graph model9. Testing graph properties in the bounded-degree graph model10. Testing graph properties in the general graph model11. Testing properties of distributions12. Ramifications and related topics13. Locally testable codes and proofs.
