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An ~O(n) Queries Adaptive Tester for Unateness

Authors Subhash Khot, Igor Shinkar

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Subhash Khot
Igor Shinkar

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Subhash Khot and Igor Shinkar. An ~O(n) Queries Adaptive Tester for Unateness. In Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques (APPROX/RANDOM 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 60, pp. 37:1-37:7, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2016)
https://doi.org/10.4230/LIPIcs.APPROX-RANDOM.2016.37

Abstract

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.
Keywords
  • property testing
  • boolean functions
  • unateness

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