Periods, Capitalized Words, etc.

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Periods, Capitalized Words, etc

In this article we present an approach for tackling three important aspects of text normalization: sentence boundary disambiguation, disambiguation of capitalized words in positions where capitalization is expected, and identification of abbreviations. As opposed to the two dominant techniques of computing statistics or writing specialized grammars, our document-centered approach works by consi...

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Periods and Binary Words

We give an elementary short proof for a well-known theorem of Guibas and Odlyzko stating that the sets of periods of words are independent of the alphabet size. As a consequence of our constructing proof, we give a linear time algorithm which, given a word, computes a binary one with the same periods. We give also a very short proof for the famous Fine and Wilf's periodicity lemma.

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Computing Abelian Periods in Words

In the last couple of years many works have been devoted to Abelian complexity of words. Recently, Constantinescu and Ilie (Bulletin EATCS 89, 167–170, 2006) introduced the notion of Abelian period. We show that a word w of length n over an alphabet of size σ can have Θ(n2) distinct Abelian periods. However, to the best of our knowledge, no efficient algorithm is known for computing these perio...

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How Well Capitalized Are Well-Capitalized Banks?

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Algorithms for Computing Abelian Periods of Words

Constantinescu and Ilie (Bulletin EATCS 89, 167–170, 2006) introduced the notion of an Abelian period of a word. A word of length n over an alphabet of size σ can have Θ(n2) distinct Abelian periods. The Brute-Force algorithm computes all the Abelian periods of a word in time O(n2× σ) using O(n × σ) space. We present an off-line algorithm based on a select function having the same worst-case th...

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ژورنال

عنوان ژورنال: Computational Linguistics

سال: 2002

ISSN: 0891-2017,1530-9312

DOI: 10.1162/089120102760275992