Almost Optimal Distribution-free Junta Testing

@article{Bshouty2019AlmostOD,
  title={Almost Optimal Distribution-free Junta Testing},
  author={Nader H. Bshouty},
  journal={CoRR},
  year={2019},
  volume={abs/1901.00717}
}
We consider the problem of testing whether an unknown n-variable Boolean function is a k-junta in the distribution-free property testing model, where the distance between functions is measured with respect to an arbitrary and unknown probability distribution over {0, 1}n. Chen, Liu, Servedio, Sheng and Xie [35] showed that the distribution-free k-junta testing can be performed, with one-sided error, by an adaptive algorithm that makes Õ(k)/ǫ queries. In this paper, we give a simple two-sided… CONTINUE READING
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