A Subsequence-Histogram Method for Generic Vocabulary Recognition over Deletion Channels

dc.creatorFozunbal, Majid
dc.date2009-04-21
dc.date.accessioned2026-07-07T13:07:10Z
dc.date.available2026-07-07T13:07:10Z
dc.descriptionWe consider the problem of recognizing a vocabulary--a collection of words (sequences) over a finite alphabet--from a potential subsequence of one of its words. We assume the given subsequence is received through a deletion channel as a result of transmission of a random word from one of the two generic underlying vocabularies. An exact maximum a posterior (MAP) solution for this problem counts the number of ways a given subsequence can be derived from particular subsets of candidate vocabularies, requiring exponential time or space. We present a polynomial approximation algorithm for this problem. The algorithm makes no prior assumption about the rules and patterns governing the structure of vocabularies. Instead, through off-line processing of vocabularies, it extracts data regarding regularity patterns in the subsequences of each vocabulary. In the recognition phase, the algorithm just uses this data, called subsequence-histogram, to decide in favor of one of the vocabularies. We provide examples to demonstrate the performance of the algorithm and show that it can achieve the same performance as MAP in some situations. Potential applications include bioinformatics, storage systems, and search engines.
dc.description5 pages, International Symposium on Information Theory (ISIT) 2009
dc.identifierhttps://arxiv.org/abs/0904.3351
dc.identifierhttp://arxiv.org/abs/0904.3351
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228006
dc.subjectInformation Theory
dc.subjectData Structures and Algorithms
dc.subjectApplications
dc.titleA Subsequence-Histogram Method for Generic Vocabulary Recognition over Deletion Channels
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