Testing linear-invariant properties

@article{Tidor2020TestingLP,
  title={Testing linear-invariant properties},
  author={Jonathan Tidor and Y. Zhao},
  journal={2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS)},
  year={2020},
  pages={1180-1190}
}
  • Jonathan Tidor, Y. Zhao
  • Published 2020
  • Computer Science, Mathematics
  • 2020 IEEE 61st Annual Symposium on Foundations of Computer Science (FOCS)
Fix a prime $p$ and a positive integer $R$. We study the property testing of functions $\mathbb{F}_{p}^{n}\rightarrow[R]$. We say that a property is testable if there exists an oblivious tester for this property with one-sided error and constant query complexity. Furthermore, a property is proximity oblivious-testable (PO-testable) if the test is also independent of the proximity parameter $\epsilon$. It is known that a number of natural properties such as linearity and being a low degree… Expand
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