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The approximate string matching is a fundamental and recurrent problem that arises in most computer science fields. This problem can be defined as follows: Let $D=\{x_1,x_2,\ldots x_d\}$ be a set of $d$ words defined on an alphabet…

数据结构与算法 · 计算机科学 2017-01-31 Ibrahim Chegrane

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

An approximate textual retrieval algorithm for searching sources with high levels of defects is presented. It considers splitting the words in a query into two overlapping segments and subsequently building composite regular expressions…

信息检索 · 计算机科学 2007-05-23 Pere Constans

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

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

We present a new efficient method for approximate search in electronic lexica. Given an input string (the pattern) and a similarity threshold, the algorithm retrieves all entries of the lexicon that are sufficiently similar to the pattern.…

计算与语言 · 计算机科学 2015-12-04 Stefan Gerdjikov , Stoyan Mihov , Petar Mitankin , Klaus U. Schulz

We present an algorithm for approximating the edit distance $\operatorname{ed}(x, y)$ between two strings $x$ and $y$ in time parameterized by the degree to which one of the strings $x$ satisfies a natural pseudorandomness property. The…

数据结构与算法 · 计算机科学 2018-11-13 William Kuszmaul

Edit distance is a measure of similarity of two strings based on the minimum number of character insertions, deletions, and substitutions required to transform one string into the other. The edit distance can be computed exactly using a…

数据结构与算法 · 计算机科学 2021-02-17 Diptarka Chakraborty , Debarati Das , Elazar Goldenberg , Michal Koucky , Michael Saks

Approximate dictionary matching is a classic string matching problem (checking if a query string occurs in a collection of strings) with applications in, e.g., spellchecking, online catalogs, geolocation, and web searchers. We present a…

数据结构与算法 · 计算机科学 2016-02-15 Aleksander Cisłak , Szymon Grabowski

We present a near-linear time algorithm that approximates the edit distance between two strings within a polylogarithmic factor; specifically, for strings of length n and every fixed epsilon>0, it can compute a (log n)^O(1/epsilon)…

数据结构与算法 · 计算机科学 2010-05-24 Alexandr Andoni , Robert Krauthgamer , Krzysztof Onak

We engineer an algorithm to solve the approximate dictionary matching problem. Given a list of words $\mathcal{W}$, maximum distance $d$ fixed at preprocessing time and a query word $q$, we would like to retrieve all words from…

信息检索 · 计算机科学 2010-08-19 Daniel Karch , Dennis Luxen , Peter Sanders

We present an algorithm for approximating the edit distance between two strings of length $n$ in time $n^{1+\varepsilon}$ up to a constant factor, for any $\varepsilon>0$. Our result completes a research direction set forth in the recent…

数据结构与算法 · 计算机科学 2022-07-18 Alexandr Andoni , Negev Shekel Nosatzki

This paper is concerned with practical implementations of approximate string dictionaries that allow edit errors. In this problem, we have as input a dictionary $D$ of $d$ strings of total length $n$ over an alphabet of size $\sigma$. Given…

数据结构与算法 · 计算机科学 2014-08-26 Ibrahim Chegrane , Djamal Belazzougui

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

We consider a similarity measure between two sets $A$ and $B$ of vectors, that balances the average and maximum cosine distance between pairs of vectors, one from set $A$ and one from set $B$. As a motivation for this measure, we present…

数据结构与算法 · 计算机科学 2021-08-31 Michael Leybovich , Oded Shmueli

We demonstrate three approaches for adapting the open-source Lucene search library to perform approximate nearest-neighbor search on arbitrary dense vectors, using similarity search on word embeddings as a case study. At its core, Lucene is…

信息检索 · 计算机科学 2019-10-29 Tommaso Teofili , Jimmy Lin

We introduce a novel definition of approximate palindromes in strings, and provide an algorithm to find all maximal approximate palindromes in a string with up to $k$ errors. Our definition is based on the usual edit operations of…

数据结构与算法 · 计算机科学 2007-05-23 A. H. L. Porto , V. C. Barbosa

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

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

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
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