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DNA approach to scenery reconstruction

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  • Matzinger, Heinrich
  • Pinzon, Angelica Pachon

Abstract

The basic reconstruction problem lead with the general task of retrieving a scenery from observations made by a random walker. A critical factor associated with the problem is reconstructing the scenery in polynomial time. In this article, we propose a novel technique based on the modern DNA sequencing method for reconstructing a 3-color scenery of length n . The idea is first to reconstruct small pieces of length order log n and then assembled them together to form the required piece. We show that this reconstruction and assembly for a finite piece of a 3-color scenery takes polynomial amount of time.

Suggested Citation

  • Matzinger, Heinrich & Pinzon, Angelica Pachon, 2011. "DNA approach to scenery reconstruction," Stochastic Processes and their Applications, Elsevier, vol. 121(11), pages 2455-2473, November.
    • Handle: RePEc:eee:spapps:v:121:y:2011:i:11:p:2455-2473
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    References listed on IDEAS

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    1. Matzinger, Heinrich & Rolles, Silke W. W., 2003. "Reconstructing a piece of scenery with polynomially many observations," Stochastic Processes and their Applications, Elsevier, vol. 107(2), pages 289-300, October.
    2. Hart, Andrew & Matzinger, Heinrich, 2006. "Markers for error-corrupted observations," Stochastic Processes and their Applications, Elsevier, vol. 116(5), pages 807-829, May.
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