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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…

Data Structures and Algorithms · Computer Science 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…

Data Structures and Algorithms · Computer Science 2020-07-10 Samuel McCauley

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…

Data Structures and Algorithms · Computer Science 2016-02-15 Aleksander Cisłak , Szymon Grabowski

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.…

Computation and Language · Computer Science 2015-12-04 Stefan Gerdjikov , Stoyan Mihov , Petar Mitankin , Klaus U. Schulz

The problem of word sense disambiguation (WSD) is considered in the article. Given a set of synonyms (synsets) and sentences with these synonyms. It is necessary to select the meaning of the word in the sentence automatically. 1285…

Information Retrieval · Computer Science 2018-07-12 Alexander Kirillov , Natalia Krizhanovsky , Andrew Krizhanovsky

The dictionary matching problem preprocesses a set of patterns and finds all occurrences of each of the patterns in a text when it is provided. We focus on the dynamic setting, in which patterns can be inserted to and removed from the…

Data Structures and Algorithms · Computer Science 2013-02-04 Shoshana Marcus , Dina Sokol

A search query consists of several words. In a proximity full-text search, we want to find documents that contain these words near each other. This task requires much time when the query consists of high-frequently occurring words. If we…

Information Retrieval · Computer Science 2020-09-08 Alexander B. Veretennikov

We study the classical approximate string matching problem, that is, given strings $P$ and $Q$ and an error threshold $k$, find all ending positions of substrings of $Q$ whose edit distance to $P$ is at most $k$. Let $P$ and $Q$ have…

Data Structures and Algorithms · Computer Science 2011-03-21 Philip Bille

The dictionary matching problem is to locate occurrences of any pattern among a set of patterns in a given text. Massive data sets abound and at the same time, there are many settings in which working space is extremely limited. We…

Data Structures and Algorithms · Computer Science 2013-01-29 Shoshana Marcus Dina Sokol

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…

Information Retrieval · Computer Science 2007-05-23 Pere Constans

Full-text search engines are important tools for information retrieval. In a proximity full-text search, a document is relevant if it contains query terms near each other, especially if the query terms are frequently occurring words. For…

Information Retrieval · Computer Science 2020-09-09 Alexander B. Veretennikov

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…

Data Structures and Algorithms · Computer Science 2008-07-29 Dimitris Papamichail , Georgios Papamichail

With the further development of informatization, more and more data is stored in the form of text. There are some loss of text during their generation and transmission. The paper aims to establish a language model based on the large-scale…

Computation and Language · Computer Science 2017-11-03 Ji Wen

We study 4 problems in string matching, namely, regular expression matching, approximate regular expression matching, string edit distance, and subsequence indexing, on a standard word RAM model of computation that allows logarithmic-sized…

Data Structures and Algorithms · Computer Science 2008-09-22 Philip Bille , Martin Farach-Colton

The notion of word embedding plays a fundamental role in natural language processing (NLP). However, pre-training word embedding for very large-scale vocabulary is computationally challenging for most existing methods. In this work, we show…

Computation and Language · Computer Science 2021-09-16 Junsheng Kong , Weizhao Li , Zeyi Liu , Ben Liao , Jiezhong Qiu , Chang-Yu Hsieh , Yi Cai , Shengyu Zhang

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

String matching is the problem of finding all the occurrences of a pattern in a text. We propose improved versions of the fast family of string matching algorithms based on hashing $q$-grams. The improvement consists of considering minimal…

Data Structures and Algorithms · Computer Science 2023-03-13 Thierry Lecroq

A similarity join aims to find all similar pairs between two collections of records. Established approaches usually deal with synthetic differences like typos and abbreviations, but neglect the semantic relations between words. Such…

Information Retrieval · Computer Science 2018-10-30 Pengfei Xu , Jiaheng Lu

We revisit the fundamental problem of dictionary look-up with mismatches. Given a set (dictionary) of $d$ strings of length $m$ and an integer $k$, we must preprocess it into a data structure to answer the following queries: Given a query…

Data Structures and Algorithms · Computer Science 2018-06-27 Paweł Gawrychowski , Gad M. Landau , Tatiana Starikovskaya

Recently, considerable research efforts have been devoted to the design of methods to learn from data overcomplete dictionaries for sparse coding. However, learned dictionaries require the solution of an optimization problem for coding new…

Machine Learning · Computer Science 2010-11-17 Curzio Basso , Matteo Santoro , Alessandro Verri , Silvia Villa
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