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The Levenshtein distance is an important tool for the comparison of symbolic sequences, with many appearances in genome research, linguistics and other areas. For efficient applications, an approximation by a distance of smaller…

Quantitative Methods · Quantitative Biology 2007-05-23 Michael Baake , Uwe Grimm , Robert Giegerich

Identifying document similarity has many applications, e.g., source code analysis or plagiarism detection. However, identifying similarities is not trivial and can be time complex. For instance, the Levenshtein Distance is a common metric…

Information Retrieval · Computer Science 2023-07-24 Peter Coates , Frank Breitinger

The standard algorithm for Levenshtein distance, treats trailing whitespace the same as any other letter or symbol. However, when humans compare 2 strings, we implicitly assume that both strings are padded by infinite trailing whitespace.…

Data Structures and Algorithms · Computer Science 2021-03-15 Kartik Vempala

String edit distances have been used for decades in applications ranging from spelling correction and web search suggestions to DNA analysis. Most string edit distances are variations of the Levenshtein distance and consider only…

Genomics · Quantitative Biology 2022-05-12 Taylor Petty , Jan Hannig , Tunde I Huszar , Hari Iyer

It is known that humans can easily read words where the letters have been jumbled in a certain way. This paper examines this problem by associating a distance measure with the jumbling process. Modifications to text were generated according…

Information Retrieval · Computer Science 2011-01-05 Venkata Ravinder Paruchuri

Speech recognition systems for the Spanish language, such as Google's, produce errors quite frequently when used in applications of a specific domain. These errors mostly occur when recognizing words new to the recognizer's language model…

Computation and Language · Computer Science 2021-02-22 Diego Campos-Sobrino , Mario Campos-Soberanis , Iván Martínez-Chin , Víctor Uc-Cetina

Phylogenetic trees can be reconstructed from the matrix which contains the distances between all pairs of languages in a family. Recently, we proposed a new method which uses normalized Levenshtein distances among words with same meaning…

Computation and Language · Computer Science 2015-05-14 Filippo Petroni , Maurizio Serva

Levenshtein distance is a commonly used edit distance metric, typically applied in language processing, and to a lesser extent, in molecular biology analysis. Biological nucleic acid sequences are often embedded in longer sequences and are…

Quantitative Methods · Quantitative Biology 2023-10-20 Robert Logan , Amy W. Wehe , Dori C. Woods , Jon Tilly , Konstantin Khrapko

This research project aimed to overcome the challenge of analysing human language relationships, facilitate the grouping of languages and formation of genealogical relationship between them by developing automated comparison techniques.…

Computation and Language · Computer Science 2020-02-03 Gabija Mikulyte , David Gilbert

In this paper, we present a new approach dedicated to correcting the spelling errors of the Arabic language. This approach corrects typographical errors like inserting, deleting, and permutation. Our method is inspired from the Levenshtein…

Computation and Language · Computer Science 2012-08-23 Gueddah Hicham

Edit distance, also known as Levenshtein distance, is an essential way to compare two strings that proved to be particularly useful in the analysis of genetic sequences and natural language processing. However, edit distance is a discrete…

Machine Learning · Computer Science 2019-04-30 Evgenii Ofitserov , Vasily Tsvetkov , Vadim Nazarov

In many applications, it is necessary to determine the similarity of two strings. A widely-used notion of string similarity is the edit distance: the minimum number of insertions, deletions, and substitutions required to transform one…

cmp-lg · Computer Science 2008-02-03 Eric Sven Ristad , Peter N. Yianilos

Many information retrieval algorithms rely on the notion of a good distance that allows to efficiently compare objects of different nature. Recently, a new promising metric called Word Mover's Distance was proposed to measure the divergence…

Computation and Language · Computer Science 2018-05-14 Georgios Balikas , Charlotte Laclau , Ievgen Redko , Massih-Reza Amini

The edit distance (a.k.a. the Levenshtein distance) between two strings is defined as the minimum number of insertions, deletions or substitutions of symbols needed to transform one string into another. The problem of computing the edit…

Computational Complexity · Computer Science 2017-08-17 Arturs Backurs , Piotr Indyk

We propose an algorithm for approximative dictionary lookup, where altered strings are matched against reference forms. The algorithm makes use of a divergence function between strings -- broadly belonging to the family of edit distances;…

Computation and Language · Computer Science 2021-09-03 Pascal Vaillant

In this paper, a new hybrid algorithm which combines both of token-based and character-based approaches is presented. The basic Levenshtein approach has been extended to token-based distance metric. The distance metric is enhanced to set…

Computation and Language · Computer Science 2013-09-24 T. El-Shishtawy

Text classifiers suffer from small perturbations, that if chosen adversarially, can dramatically change the output of the model. Verification methods can provide robustness certificates against such adversarial perturbations, by computing a…

Machine Learning · Computer Science 2025-02-21 Elias Abad Rocamora , Grigorios G. Chrysos , Volkan Cevher

We aim to speed up approximate keyword matching by storing a lightweight, fixed-size block of data for each string, called a fingerprint. These work in a similar way to hash values; however, they can be also used for matching with errors.…

Data Structures and Algorithms · Computer Science 2017-11-27 Aleksander Cisłak , Szymon Grabowski

Word embeddings are high dimensional vector representations of words that capture their semantic similarity in the vector space. There exist several algorithms for learning such embeddings both for a single language as well as for several…

Computation and Language · Computer Science 2019-11-12 Georgios Balikas , Ioannis Partalas

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau
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