The Annals of Applied Probability

On approximate pattern matching for a class of Gibbs random fields

Jean-Rene Chazottes, Frank Redig, and Evgeny Verbitskiy

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Abstract

We prove an exponential approximation for the law of approximate occurrence of typical patterns for a class of Gibssian sources on the lattice ℤd, d≥2. From this result, we deduce a law of large numbers and a large deviation result for the waiting time of distorted patterns.

Article information

Source
Ann. Appl. Probab., Volume 16, Number 2 (2006), 670-684.

Dates
First available in Project Euclid: 29 June 2006

Permanent link to this document
https://projecteuclid.org/euclid.aoap/1151592247

Digital Object Identifier
doi:10.1214/105051605000000827

Mathematical Reviews number (MathSciNet)
MR2244429

Zentralblatt MATH identifier
1131.60046

Subjects
Primary: 60G60: Random fields
Secondary: 60F05: Central limit and other weak theorems 60F10: Large deviations 94A08: Image processing (compression, reconstruction, etc.) [See also 68U10] 94A34: Rate-distortion theory

Keywords
Hitting time exponential law large deviations rate distortion

Citation

Chazottes, Jean-Rene; Redig, Frank; Verbitskiy, Evgeny. On approximate pattern matching for a class of Gibbs random fields. Ann. Appl. Probab. 16 (2006), no. 2, 670--684. doi:10.1214/105051605000000827. https://projecteuclid.org/euclid.aoap/1151592247


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References

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