Название: Introduction to Property Testing Автор: Oded Goldreich
Издательство: Cambridge University Press
Год: 2017
Страниц: 469
Язык: английский
Формат: pdf (true), djvu
Размер: 10.47 MB
Property testing is concerned with the design of superfast 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.
The focus is on properties and parameters that go beyond simple statistics of the type that refers to the frequency of occurrence of various local patterns. The algorithms are given direct access to items of a huge data set, and determine whether this data set has some predetermined (global) property or is far from having this property. Remarkably, this decision is made by accessing only a small portion of the data set.
In other words, property testing is concerned with the design of superfast algorithms for approximate decision making, where the decision refers to properties or parameters of huge objects. In particular, we seek algorithms that inspect only relatively small portions of the huge object. Such algorithms must be randomized and can provide only approximate answers. Indeed, two salient aspects of property testing are that (1) it studies algorithms that can read only parts of the input, and (2) it focuses on algorithms that solve “approximate decision” problems.
Скачать Introduction to Property Testing