• Bernoulli
  • Volume 24, Number 4B (2018), 3628-3656.

Detecting Markov random fields hidden in white noise

Ery Arias-Castro, Sébastien Bubeck, Gábor Lugosi, and Nicolas Verzelen

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Motivated by change point problems in time series and the detection of textured objects in images, we consider the problem of detecting a piece of a Gaussian Markov random field hidden in white Gaussian noise. We derive minimax lower bounds and propose near-optimal tests.

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Bernoulli, Volume 24, Number 4B (2018), 3628-3656.

Received: February 2016
Revised: December 2016
First available in Project Euclid: 18 April 2018

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Markov random fields detection combinatorial testing minimax test image analysis


Arias-Castro, Ery; Bubeck, Sébastien; Lugosi, Gábor; Verzelen, Nicolas. Detecting Markov random fields hidden in white noise. Bernoulli 24 (2018), no. 4B, 3628--3656. doi:10.3150/17-BEJ973.

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Supplemental materials

  • Supplement to “Detecting Markov random fields hidden in white noise”. This supplement contains the remaining proofs.