License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.APPROX-RANDOM.2016.37
URN: urn:nbn:de:0030-drops-66603
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Khot, Subhash ; Shinkar, Igor

An ~O(n) Queries Adaptive Tester for Unateness

LIPIcs-APPROX-RANDOM-2016-37.pdf (0.5 MB)


We present an adaptive tester for the unateness property of Boolean functions. Given a function f:{0,1}^n -> {0,1} the tester makes O(n log(n)/epsilon) adaptive queries to the function. The tester always accepts a unate function, and rejects with probability at least 0.9 if a function is epsilon-far from being unate.

BibTeX - Entry

  author =	{Subhash Khot and Igor Shinkar},
  title =	{{An ~O(n) Queries Adaptive Tester for Unateness}},
  booktitle =	{Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016)},
  pages =	{37:1--37:7},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-018-7},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{60},
  editor =	{Klaus Jansen and Claire Mathieu and Jos{\'e} D. P. Rolim and Chris Umans},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{},
  URN =		{urn:nbn:de:0030-drops-66603},
  doi =		{10.4230/LIPIcs.APPROX-RANDOM.2016.37},
  annote =	{Keywords: property testing, boolean functions, unateness}

Keywords: property testing, boolean functions, unateness
Collection: Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016)
Issue Date: 2016
Date of publication: 06.09.2016

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