DNA approach to scenery reconstruction
AbstractThe 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.
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Bibliographic InfoArticle provided by Elsevier in its journal Stochastic Processes and their Applications.
Volume (Year): 121 (2011)
Issue (Month): 11 (November)
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Web page: http://www.elsevier.com/wps/find/journaldescription.cws_home/505572/description#description
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- 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.
- 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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