• Corpus ID: 7964701

Fourier-Based Testing for Families of Distributions

@article{Canonne2017FourierBasedTF,
  title={Fourier-Based Testing for Families of Distributions},
  author={Cl{\'e}ment L. Canonne and Ilias Diakonikolas and Alistair Stewart},
  journal={Electron. Colloquium Comput. Complex.},
  year={2017},
  volume={TR17}
}
We study the general problem of testing whether an unknown distribution belongs to a specified family of distributions. More specifically, given a distribution family $\mathcal{P}$ and sample access to an unknown discrete distribution $\mathbf{P}$, we want to distinguish (with high probability) between the case that $\mathbf{P} \in \mathcal{P}$ and the case that $\mathbf{P}$ is $\epsilon$-far, in total variation distance, from every distribution in $\mathcal{P}$. This is the prototypical… 

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