Markov edit distance

IEEE Transactions on Pattern Analysis and Machine Intelligence
Jie Wei

Abstract

Edit distance was originally developed by Levenstein several decades ago to measure the distance between two strings. It was found that this distance can be computed by an elegant dynamic programming procedure. The edit distance has played important roles in a wide array of applications due to its representational efficacy and computational efficiency. To effect a more reasonable distance measure, the normalized edit distance was proposed. Many algorithms and studies have been dedicated along this line with impressive performances in recent years. There is, however, a fundamental problem with the original definition of edit distance that has remained elusive: its context-free nature. In determining the possible actions, i.e., insertion, deletion, and substitution, no systematic consideration was given to the local behaviors of the string/pattern in question that indeed encompass great amount of useful information regarding its content. In this paper, inspired by the success of the Markov Random Field theory, a new edit distance called Markov edit distance (MED) within the dynamic programming framework is proposed to take full advantage of the local statistical dependencies in the pattern in order to arrive at enhanced matching ...Continue Reading

References

Jan 1, 1970·Transactions of the Royal Society of Tropical Medicine and Hygiene·R F Macadam, W J Herbert
Feb 5, 2008·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Jie Wei
Jan 1, 1983·IEEE Transactions on Pattern Analysis and Machine Intelligence·G R Cross, A K Jain
May 1, 1987·IEEE Transactions on Pattern Analysis and Machine Intelligence·B J Oommen
Jun 1, 1984·IEEE Transactions on Pattern Analysis and Machine Intelligence·S Geman, D Geman

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Citations

Jan 27, 2015·IEEE Journal of Translational Engineering in Health and Medicine·Jie Wei, Guang Li
Nov 15, 2007·IEEE Transactions on Pattern Analysis and Machine Intelligence·Kazunori Iwata, Akira Hayashi
May 13, 2005·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Jie Wei
Jan 1, 2015·Annals of Biomedical Engineering·Jie WeiBingmei M Fu
May 20, 2015·International Journal of Image and Graphics·Jie Wei

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