NDLI: On Sample-Based Testers

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On Sample-Based Testers

Content Provider	ACM Digital Library
Author	Ron, Dana Goldreich, Oded
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.
Starting Page	337
Ending Page	345
Page Count	9
File Format	PDF
ISBN	9781450333337
DOI	10.1145/2688073.2688080
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2015-01-11
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Property testing Sampling Sublinear algorithms
Content Type	Text
Resource Type	Article

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On sample-based testers

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On Sample-Based Testers

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