Algorithmic and Analysis Techniques in Property Testing

Algorithmic and Analysis Techniques in Property Testing
Author: Dana Ron
Publisher: Now Publishers Inc
Total Pages: 151
Release: 2010
Genre: Computers
ISBN: 1601983182

Property testing algorithms are ultra"-efficient algorithms that decide whether a given object (e.g., a graph) has a certain property (e.g., bipartiteness), or is significantly different from any object that has the property. To this end property testing algorithms are given the ability to perform (local) queries to the input, though the decisions they need to make usually concern properties with a global nature. In the last two decades, property testing algorithms have been designed for many types of objects and properties, amongst them, graph properties, algebraic properties, geometric properties, and more. In this article we survey results in property testing, where our emphasis is on common analysis and algorithmic techniques. Among the techniques surveyed are the following: a) The self-correcting approach, which was mainly applied in the study of property testing of algebraic properties; b) The enforce and test approach, which was applied quite extensively in the analysis of algorithms for testing graph properties (in the dense-graphs model), as well as in other contexts; c) Szemeredi's Regularity Lemma, which plays a very important role in the analysis of algorithms for testing graph properties (in the dense-graphs model); d) The approach of Testing by implicit learning, which implies efficient testability of membership in many functions classes. e) Algorithmic techniques for testing properties of sparse graphs, which include local search and random walks.

Introduction to Property Testing

Introduction to Property Testing
Author: Oded Goldreich
Publisher: Cambridge University Press
Total Pages: 473
Release: 2017-11-23
Genre: Computers
ISBN: 1107194059

An extensive and authoritative introduction to property testing, the study of super-fast algorithms for the structural analysis of large quantities of data in order to determine global properties. This book can be used both as a reference book and a textbook, and includes numerous exercises.

Network Models for Data Science

Network Models for Data Science
Author: Alan Julian Izenman
Publisher: Cambridge University Press
Total Pages: 501
Release: 2022-12-31
Genre: Mathematics
ISBN: 1108835767

This is the first book to describe modern methods for analyzing complex networks arising from a wide range of disciplines.

Studies in Complexity and Cryptography

Studies in Complexity and Cryptography
Author: Oded Goldreich
Publisher: Springer Science & Business Media
Total Pages: 573
Release: 2011-08-03
Genre: Computers
ISBN: 3642226698

Paying witness to the author’s thirty-year career in science, these high-quality papers, some co-written with colleagues, reflect his professional range, covering material from average-case complexity to derandomization and probabilistically checkable proofs.

Number Theory and Related Fields

Number Theory and Related Fields
Author: Jonathan M. Borwein
Publisher: Springer Science & Business Media
Total Pages: 395
Release: 2013-05-16
Genre: Mathematics
ISBN: 1461466423

“Number Theory and Related Fields” collects contributions based on the proceedings of the "International Number Theory Conference in Memory of Alf van der Poorten," hosted by CARMA and held March 12-16th 2012 at the University of Newcastle, Australia. The purpose of the conference was to promote number theory research in Australia while commemorating the legacy of Alf van der Poorten, who had written over 170 papers on the topic of number theory and collaborated with dozens of researchers. The research articles and surveys presented in this book were written by some of the most distinguished mathematicians in the field of number theory, and articles will include related topics that focus on the various research interests of Dr. van der Poorten.​

Property Testing

Property Testing
Author: Oded Goldreich
Publisher: Springer Science & Business Media
Total Pages: 370
Release: 2010-10-08
Genre: Computers
ISBN: 3642163661

Property Testing is the study of super-fast algorithms for approximate decision making. This volume features work presented at a mini-workshop on property testing that took place January 2010 at the Institute for Computer Science, Tsinghua University, China.

Introduction to Property Testing

Introduction to Property Testing
Author: Oded Goldreich
Publisher: Cambridge University Press
Total Pages: 473
Release: 2017-11-23
Genre: Computers
ISBN: 1108152120

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.

WALCOM: Algorithms and Computation

WALCOM: Algorithms and Computation
Author: Petra Mutzel
Publisher: Springer Nature
Total Pages: 428
Release: 2022-03-16
Genre: Computers
ISBN: 303096731X

This book constitutes the proceedings of the 16th International Conference on Algorithms and Computation, WALCOM 2022, which was held in Jember, Indonesia, during March 24-26, 2022. This proceedings volume contains 30 full papers which were carefully reviewed and selected from a total of 89 submissions and 3 invited papers. They cover diverse areas of algorithms and computation, such as approximation algorithms, computational complexity, computational geometry, graph algorithms, graph drawing and visualization, online algorithms, parameterized complexity and property testing.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques
Author: Klaus Jansen
Publisher: Springer Science & Business Media
Total Pages: 436
Release: 2004-08-11
Genre: Computers
ISBN: 3540228942

This book constitutes the joint refereed proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2004 and the 8th International Workshop on Randomization and Computation, RANDOM 2004, held in Cambridge, MA, USA in August 2004. The 37 revised full papers presented were carefully reviewed and selected from 87 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, approximation classes, online problems, graph algorithms, cuts, geometric computations, network design and routing, packing and covering, scheduling, game theory, design and analysis of randomised algorithms, randomized complexity theory, pseudorandomness, derandomization, probabilistic proof systems, error-correcting codes, and other applications of approximation and randomness.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Author: Leslie Ann Goldberg
Publisher: Springer Science & Business Media
Total Pages: 715
Release: 2011-08-05
Genre: Computers
ISBN: 3642229344

This book constitutes the joint refereed proceedings of the 14th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2011, and the 15th International Workshop on Randomization and Computation, RANDOM 2011, held in Princeton, New Jersey, USA, in August 2011. The volume presents 29 revised full papers of the APPROX 2011 workshop, selected from 66 submissions, and 29 revised full papers of the RANDOM 2011 workshop, selected from 64 submissions. They were carefully reviewed and selected for inclusion in the book. In addition two abstracts of invited talks are included. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.