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Strings are a natural representation of biological data such as DNA, RNA and protein sequences. The problem of finding a string that summarizes a set of sequences has direct application in relative compression algorithms for genome and…

Data Structures and Algorithms · Computer Science 2019-12-06 P. Mirabal , J. Abreu , D. Seco

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

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…

Data Structures and Algorithms · Computer Science 2018-05-08 Moses Charikar , Ofir Geri , Michael P. Kim , William Kuszmaul

An applied problem facing all areas of data science is harmonizing data sources. Joining data from multiple origins with unmapped and only partially overlapping features is a prerequisite to developing and testing robust, generalizable…

We consider the following model for sampling pairs of strings: $s_1$ is a uniformly random bitstring of length $n$, and $s_2$ is the bitstring arrived at by applying substitutions, insertions, and deletions to each bit of $s_1$ with some…

Data Structures and Algorithms · Computer Science 2020-07-08 Arun Ganesh , Aaron Sy

Similarity search (nearest neighbor search) is a problem of pursuing the data items whose distances to a query item are the smallest from a large database. Various methods have been developed to address this problem, and recently a lot of…

Data Structures and Algorithms · Computer Science 2014-08-14 Jingdong Wang , Heng Tao Shen , Jingkuan Song , Jianqiu Ji

The binary string matching problem consists in finding all the occurrences of a pattern in a text where both strings are built on a binary alphabet. This is an interesting problem in computer science, since binary data are omnipresent in…

Data Structures and Algorithms · Computer Science 2008-10-15 Simone Faro , Thierry Lecroq

The probability Jaccard similarity was recently proposed as a natural generalization of the Jaccard similarity to measure the proximity of sets whose elements are associated with relative frequencies or probabilities. In combination with a…

Data Structures and Algorithms · Computer Science 2020-10-27 Otmar Ertl

String matching algorithm plays the vital role in the Computational Biology. The functional and structural relationship of the biological sequence is determined by similarities on that sequence. For that, the researcher is supposed to aware…

Data Structures and Algorithms · Computer Science 2014-01-30 Pandiselvam. P , Marimuthu. T , Lawrance. R

Dense subgraph extraction is a fundamental problem in graph analysis and data mining, aimed at identifying cohesive and densely connected substructures within a given graph. It plays a crucial role in various domains, including social…

Data Structures and Algorithms · Computer Science 2024-03-01 Chia-Yang Hung , Chih-Ya Shen

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…

Data Structures and Algorithms · Computer Science 2022-08-19 P. Prakash Maria Liju

Conformance checking techniques let us find out to what degree a process model and real execution data correspond to each other. In recent years, alignments have proven extremely useful in calculating conformance statistics. Most techniques…

Artificial Intelligence · Computer Science 2019-12-12 Mohammadreza Fani Sani , Sebastiaan J. van Zelst , Wil M. P. van der Aalst

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

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…

Computational Complexity · Computer Science 2019-10-03 Elazar Goldenberg , Robert Krauthgamer , Barna Saha

As two fundamental problems, graph cuts and graph matching have been investigated over decades, resulting in vast literature in these two topics respectively. However the way of jointly applying and solving graph cuts and matching receives…

Computer Vision and Pattern Recognition · Computer Science 2017-11-28 Tianshu Yu , Junchi Yan , Jieyi Zhao , Baoxin Li

This paper presents a new approach to statistical similarity assessment based on sequence alignment. The algorithm performs mutual matching of two random sequences by successively searching for common elements and by applying sequence…

Signal Processing · Electrical Eng. & Systems 2021-06-09 Jakub Nikonowicz , Łukasz Matuszewski , Paweł Kubczak

The normalized edit distance is one of the distances derived from the edit distance. It is useful in some applications because it takes into account the lengths of the two strings compared. The normalized edit distance is not defined in…

Neural and Evolutionary Computing · Computer Science 2013-12-09 Muhammad Marwan Muhammad Fuad

Real-world data contains various kinds of errors. Before analyzing data, one usually needs to process the raw data. However, traditional data processing based on exactly match often misses lots of valid information. To get high-quality…

Databases · Computer Science 2017-12-19 Dong Deng

Evaluating the relational join is one of the central algorithmic and most well-studied problems in database systems. A staggering number of variants have been considered including Block-Nested loop join, Hash-Join, Grace, Sort-merge for…

Databases · Computer Science 2013-10-17 Hung Q. Ngo , Christopher Re , Atri Rudra

Edit distance is an important measure of string similarity. It counts the number of insertions, deletions and substitutions one has to make to a string $x$ to get a string $y$. In this paper we design an almost linear-size sketching scheme…

Data Structures and Algorithms · Computer Science 2024-06-18 Michal Koucký , Michael Saks