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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…

计算复杂性 · 计算机科学 2017-08-17 Arturs Backurs , Piotr Indyk

Dictionary lookup methods are popular in dealing with ambiguous letters which were not recognized by Optical Character Readers. However, a robust dictionary lookup method can be complex as apriori probability calculation or a large…

信息论 · 计算机科学 2011-01-07 Rishin Haldar , Debajyoti Mukhopadhyay

We introduce the notion of Levenshtein graphs, an analog to Hamming graphs but using the edit distance instead of the Hamming distance; in particular, Levenshtein graphs allow for underlying strings (nodes) of different lengths. We…

数据结构与算法 · 计算机科学 2021-07-16 Perrin E. Ruth , Manuel E. Lladser

Text-to-pattern distance is a fundamental problem in string matching, where given a pattern of length $m$ and a text of length $n$, over an integer alphabet, we are asked to compute the distance between pattern and the text at every…

数据结构与算法 · 计算机科学 2020-05-04 Przemysław Uznański

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…

信息检索 · 计算机科学 2023-07-24 Peter Coates , Frank Breitinger

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 · 计算机科学 2008-02-03 Eric Sven Ristad , Peter N. Yianilos

The problem of computing the edit-distance between a string and a finite automaton arises in a variety of applications in computational biology, text processing, and speech recognition. This paper presents linear-space algorithms for…

形式语言与自动机理论 · 计算机科学 2009-04-30 Cyril Allauzen , Mehryar Mohri

Measuring the distance between ontological elements is fundamental for ontology matching. String-based distance metrics are notorious for shallow syntactic matching. In this exploratory study, we investigate Wasserstein distance targeting…

人工智能 · 计算机科学 2022-09-22 Yuan An , Alex Kalinowski , Jane Greenberg

The edit distance between strings classically assigns unit cost to every character insertion, deletion, and substitution, whereas the Hamming distance only allows substitutions. In many real-life scenarios, insertions and deletions…

数据结构与算法 · 计算机科学 2026-02-23 Elazar Goldenberg , Tomasz Kociumaka , Robert Krauthgamer , Barna Saha

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…

定量方法 · 定量生物学 2007-05-23 Michael Baake , Uwe Grimm , Robert Giegerich

Edit distance is a fundamental measure of distance between strings and has been widely studied in computer science. While the problem of estimating edit distance has been studied extensively, the equally important question of actually…

数据结构与算法 · 计算机科学 2018-05-08 Moses Charikar , Ofir Geri , Michael P. Kim , William Kuszmaul

Consider the natural question of how to measure the similarity of curves in the plane by a quantity that is invariant under translations of the curves. Such a measure is justified whenever we aim to quantify the similarity of the curves'…

计算几何 · 计算机科学 2020-08-18 Karl Bringmann , Marvin Künnemann , André Nusser

Several measures exist for string similarity, including notable ones like the edit distance and the indel distance. The former measures the count of insertions, deletions, and substitutions required to transform one string into another,…

数据结构与算法 · 计算机科学 2024-10-15 Sudatta Bhattacharya , Sanjana Dey , Elazar Goldenberg , Michal Koucký

String similarity, longest common subsequence and shortest edit scripts are the triplets of problem that related to each other. There are different algorithms exist to generate edit script by solving longest common subsequence problem. This…

数据结构与算法 · 计算机科学 2022-08-19 P. Prakash Maria Liju

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…

计算与语言 · 计算机科学 2012-08-23 Gueddah Hicham

Computing the edit distance of two strings is one of the most basic problems in computer science and combinatorial optimization. Tree edit distance is a natural generalization of edit distance in which the task is to compute a measure of…

数据结构与算法 · 计算机科学 2022-09-16 Debarati Das , Jacob Gilbert , MohammadTaghi Hajiaghayi , Tomasz Kociumaka , Barna Saha , Hamed Saleh

The problem of finding \emph{distance} between \emph{pattern} of length $m$ and \emph{text} of length $n$ is a typical way of generalizing pattern matching to incorporate dissimilarity score. For both Hamming and $L_1$ distances only a…

数据结构与算法 · 计算机科学 2018-05-04 Przemysław Uznański

The edit distance problem is a classical fundamental problem in computer science in general, and in combinatorial pattern matching in particular. The standard dynamic programming solution for this problem computes the edit-distance between…

数据结构与算法 · 计算机科学 2016-10-05 Danny Hermelin , Gad M. Landau , Shir Landau , Oren Weimann

In many applications, it is necessary to determine the string similarity. Edit distance[WF74] approach is a classic method to determine Field Similarity. A well known dynamic programming algorithm [GUS97] is used to calculate edit distance…

数据结构与算法 · 计算机科学 2007-05-23 Qi Xiao Yang , Sung Sam Yuan , Lu Chun , Li Zhao , Sun Peng

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…

定量方法 · 定量生物学 2023-10-20 Robert Logan , Amy W. Wehe , Dori C. Woods , Jon Tilly , Konstantin Khrapko
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