On sample-based testers [extended abstract]

Oded Goldreich, Dana Ron

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The standard definition of property testing endows the tester with the ability to make arbitrary queries to "elements" of the tested object. In contrast, sample-based testers only obtain independently distributed elements (a.k.a. labeled samples) of the tested object. While sample-based testers were defined by Goldreich, Goldwasser, and Ron (JACM 1998), with few exceptions, most research in property testing is focused on query-based testers. In this work, we advance the study of sample-based property testers by providing several general positive results as well as by revealing relations between variants of this testing model. In particular: We show that certain types of query-based testers yield sample-based testers of sublinear sample complexity. For example, this holds for a natural class of proximity oblivious testers. We study the relation between distribution-free sample-based testers and one-sided error sample-based testers w.r.t. the uniform distribution. While most of this work ignores the time complexity of testing, one part of it does focus on this aspect. The main result in this part is a sublinear-time sample-based tester in the dense graphs model for k-Colorability, for any k ≥ 2.

Original languageEnglish
Title of host publicationITCS 2015 - Proceedings of the 6th Innovations in Theoretical Computer Science
PublisherAssociation for Computing Machinery, Inc
Pages337-345
Number of pages9
ISBN (Electronic)9781450333337
DOIs
StatePublished - 11 Jan 2015
Event6th Conference on Innovations in Theoretical Computer Science, ITCS 2015 - Rehovot, Israel
Duration: 11 Jan 201513 Jan 2015

Publication series

NameITCS 2015 - Proceedings of the 6th Innovations in Theoretical Computer Science

Conference

Conference6th Conference on Innovations in Theoretical Computer Science, ITCS 2015
Country/TerritoryIsrael
CityRehovot
Period11/01/1513/01/15

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