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The problem of approximate string matching is important in many different areas such as computational biology, text processing and pattern recognition. A great effort has been made to design efficient algorithms addressing several variants…

数据结构与算法 · 计算机科学 2008-07-29 Dimitris Papamichail , Georgios Papamichail

The edit distance is a fundamental measure of sequence similarity, defined as the minimum number of character insertions, deletions, and substitutions needed to transform one string into the other. Given two strings of length at most $n$,…

数据结构与算法 · 计算机科学 2023-07-17 Tomasz Kociumaka , Anish Mukherjee , Barna Saha

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 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

The edit distance is a way of quantifying how similar two strings are to one another by counting the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. A simple dynamic…

计算复杂性 · 计算机科学 2019-10-03 Elazar Goldenberg , Robert Krauthgamer , Barna Saha

The edit distance is a way of quantifying how similar two strings are to one another by counting the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. In this paper we…

数据结构与算法 · 计算机科学 2016-07-14 Diptarka Chakraborty , Elazar Goldenberg , Michal Koucký

Given a pair of strings, the problems of computing their Longest Common Subsequence and Edit Distance have been extensively studied for decades. For exact algorithms, LCS and Edit Distance (with character insertions and deletions) are…

数据结构与算法 · 计算机科学 2019-04-12 Aviad Rubinstein , Zhao Song

The edit distance is a basic string similarity measure used in many applications such as text mining, signal processing, bioinformatics, and so on. However, the computational cost can be a problem when we repeat many distance calculations…

数据结构与算法 · 计算机科学 2017-01-24 Hiroyuki Hanada , Mineichi Kudo , Atsuyoshi Nakamura

There are efficient dynamic programming solutions to the computation of the Edit Distance from $S\in[1..\sigma]^n$ to $T\in[1..\sigma]^m$, for many natural subsets of edit operations, typically in time within $O(nm)$ in the worst-case over…

信息检索 · 计算机科学 2018-06-13 Jérémy Barbay , Andrés Olivares

Real-world data often comes in compressed form. Analyzing compressed data directly (without decompressing it) can save space and time by orders of magnitude. In this work, we focus on fundamental sequence comparison problems and try to…

数据结构与算法 · 计算机科学 2021-12-14 Arun Ganesh , Tomasz Kociumaka , Andrea Lincoln , Barna Saha

Edit distance similarity search, also called approximate pattern matching, is a fundamental problem with widespread database applications. The goal of the problem is to preprocess $n$ strings of length $d$, to quickly answer queries $q$ of…

数据结构与算法 · 计算机科学 2020-07-10 Samuel McCauley

We study the problem of computing similarity joins under edit distance on a set of strings. Edit similarity joins is a fundamental problem in databases, data mining and bioinformatics. It finds important applications in data cleaning and…

数据库 · 计算机科学 2019-05-30 Haoyu Zhang , Qin Zhang

We study edit distance computation with preprocessing: the preprocessing algorithm acts on each string separately, and then the query algorithm takes as input the two preprocessed strings. This model is inspired by scenarios where we would…

数据结构与算法 · 计算机科学 2021-08-23 Elazar Goldenberg , Aviad Rubinstein , Barna Saha

In this paper we present $LCSk$++: a new metric for measuring the similarity of long strings, and provide an algorithm for its efficient computation. With ever increasing size of strings occuring in practice, e.g. large genomes of plants…

数据结构与算法 · 计算机科学 2019-08-27 Filip Pavetić , Goran Žužić , Mile Šikić

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

Approximate string matching is the problem of finding all factors of a text t of length n that are at a distance at most k from a pattern x of length m. Approximate circular string matching is the problem of finding all factors of t that…

数据结构与算法 · 计算机科学 2016-04-26 Carl Barton , Costas S. Iliopoulos , Solon P. Pissis

Tree edit distance is a well-studied measure of dissimilarity between rooted trees with node labels. It can be computed in $O(n^3)$ time [Demaine, Mozes, Rossman, and Weimann, ICALP 2007], and fine-grained hardness results suggest that the…

数据结构与算法 · 计算机科学 2021-06-11 Shyan Akmal , Ce Jin

We study the fundamental problem of approximating the edit distance of two strings. After an extensive line of research led to the development of a constant-factor approximation algorithm in almost-linear time, recent years have witnessed a…

数据结构与算法 · 计算机科学 2023-12-05 Karl Bringmann , Alejandro Cassis , Nick Fischer , Tomasz Kociumaka

Approximate pattern matching is a natural and well-studied problem on strings: Given a text $T$, a pattern $P$, and a threshold $k$, find (the starting positions of) all substrings of $T$ that are at distance at most $k$ from $P$. We…

数据结构与算法 · 计算机科学 2020-11-17 Panagiotis Charalampopoulos , Tomasz Kociumaka , Philip Wellnitz

Given two strings of length $n$ over alphabet $\Sigma$, and an upper bound $k$ on their edit distance, the algorithm of Myers (Algorithmica'86) and Landau and Vishkin (JCSS'88) computes the unweighted string edit distance in…

数据结构与算法 · 计算机科学 2023-02-09 Debarati Das , Jacob Gilbert , MohammadTaghi Hajiaghayi , Tomasz Kociumaka , Barna Saha
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