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arxiv: 1608.02451 · v1 · pith:33AO4NELnew · submitted 2016-08-08 · 💻 cs.DS

An widetilde{O}(n) Queries Adaptive Tester for Unateness

classification 💻 cs.DS
keywords functiontesteradaptiveepsilonqueriesunateunatenessaccepts
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We present an adaptive tester for the unateness property of Boolean functions. Given a function $f:\{0,1\}^n \to \{0,1\}$ 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.

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