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Pattern recognition of strings with substitutions, insertions, deletions and generalized transpositions

✍ Scribed by B.J. Oommen; R.K.S. Loke


Book ID
104161831
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
939 KB
Volume
30
Category
Article
ISSN
0031-3203

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✦ Synopsis


We study the problem of recognizing a string Y which is the noisy version of some unknown string X* chosen from a finite dictionary, H. The traditional case which has been extensively studied in the literature is the one in which Y contains substitution, insertion and deletion (SID) errors. Although some work has been done to extend the traditional set of edit operations to include the straightforward transposition of adjacent characters 2 [see J. Assoc. Comput. Mach. 22, 177 183 (1975)] the problem is unsolved when the transposed characters are themselves subsequently substituted, as is typical in cursive and typewritten script, in molecular biology and in noisy chain-coded boundaries, tn this paper we present the first reported solution to the analytic problem of editing one string X to another, Y, using these four edit operations. A scheme for obtaining the optimal edit operations has also been given. Both these solutions are optimal for the infinite alphabet case. Using these algorithms we present a syntactic pattern recognition scheme which corrects noisy text containing all these types of errors. The paper includes experimental results involving sub-dictionaries of the most common English words which demonstrate the superiority of our system over existing methods.


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