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

Electronic Colloquium on Computational Complexity (ECCC)(2016)

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摘要
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.
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