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An $\widetilde{O}(n)$ Queries Adaptive Tester for Unateness (1608.02451v1)
Published 8 Aug 2016 in cs.DS
Abstract: 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.