Distances on Strings and Permutations

Michel Marie Deza and Elena Deza
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Michel Marie Deza: Ecole Normale Supérieure
Elena Deza: Moscow State Pedagogical University

Chapter Chapter 11 in Encyclopedia of Distances, 2016, pp 215-228 from Springer

Abstract: Abstract An alphabet is a finite set $$\mathcal{A}$$ , $$\vert \mathcal{A}\vert \geq 2$$ , elements of which are called characters (or symbols). A string (or word) is a sequence of characters over a given finite alphabet $$\mathcal{A}$$ . The set of all finite strings over the alphabet $$\mathcal{A}$$ is denoted by $$W(\mathcal{A})$$ . Examples of real world applications, using distances and similarities of string pairs, are Speech Recognition, Bioinformatics, Information Retrieval, Machine Translation, Lexicography, Dialectology.

Keywords: Edit Distance; Vote Rule; Condorcet Winner; Kolmogorov Complexity; Editing Operation (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/978-3-662-52844-0_11

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