Detecting a path of correlations in a network

  • Authors: Ery Arias-Castro and Gábor Lugosi.
  • Alea, Vol. 14, No. 1, 33-44, February 2017.

We consider the problem of detecting an anomaly in the form of a path of correlations hidden in white noise. We provide a minimax lower bound and a test that, under mild assumptions, is able to achieve the lower bound up to a multiplicative constant.

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