Corpus ID: 18488985

Distance-Sensitive Property Testing Lower Bounds

@article{Brody2013DistanceSensitivePT,
  title={Distance-Sensitive Property Testing Lower Bounds},
  author={Joshua Brody and Pooya Hatami},
  journal={arXiv: Computational Complexity},
  year={2013}
}
  • Joshua Brody, Pooya Hatami
  • Published 2013
  • Computer Science, Mathematics
  • arXiv: Computational Complexity
  • 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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