Distance-Sensitive Property Testing Lower Bounds

Joshua Brody; Pooya Hatami

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arXiv · 1304.6685

Distance-Sensitive Property Testing Lower Bounds

Joshua Brody·Pooya Hatami

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Abstract

In this paper, we consider several property testing problems and ask how the query complexity depends on the distance parameter $\eps$. We achieve new lower bounds in this setting for the problems of testing whether a function is monotone and testing whether the function has low Fourier degree. For monotonicity testing, our lower bound matches the recent upper bound of Chakrabarty and Seshadhri.

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Joshua Brody, Pooya Hatami. 2013-04-24. Distance-Sensitive Property Testing Lower Bounds. https://arxiv.org/abs/1304.6685

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