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Although several self-indexes for highly repetitive text collections exist, developing an index and search algorithm with editing operations remains a challenge. Edit distance with moves (EDM) is a string-to-string distance measure that…

Data Structures and Algorithms · Computer Science 2016-04-11 Yoshimasa Takabatake , Kenta Nakashima , Tetsuji Kuboyama , Yasuo Tabei , Hiroshi Sakamoto

We consider an efficient two-party protocol for securely computing the similarity of strings w.r.t. an extended edit distance measure. Here, two parties possessing strings $x$ and $y$, respectively, want to jointly compute an approximate…

Cryptography and Security · Computer Science 2019-12-02 Yohei Yoshimoto , Masaharu Kataoka , Yoshimasa Takabatake , Tomohiro I , Kilho Shin , Hiroshi Sakamoto

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

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…

Data Structures and Algorithms · Computer Science 2016-07-14 Diptarka Chakraborty , Elazar Goldenberg , Michal Koucký

An elastic-degenerate string is a sequence of $n$ finite sets of strings of total length $N$, introduced to represent a set of related DNA sequences, also known as a pangenome. The ED string matching (EDSM) problem consists in reporting all…

Data Structures and Algorithms · Computer Science 2022-09-05 Giulia Bernardini , Estéban Gabory , Solon P. Pissis , Leen Stougie , Michelle Sweering , Wiktor Zuba

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

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 $n$,…

Data Structures and Algorithms · Computer Science 2023-07-17 Tomasz Kociumaka , Anish Mukherjee , Barna Saha

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…

Data Structures and Algorithms · Computer Science 2007-05-23 Qi Xiao Yang , Sung Sam Yuan , Lu Chun , Li Zhao , Sun Peng

An elastic-degenerate (ED) string is a sequence of $n$ sets of strings of total length $N$, which was recently proposed to model a set of similar sequences. The ED string matching (EDSM) problem is to find all occurrences of a pattern of…

Data Structures and Algorithms · Computer Science 2021-05-05 Giulia Bernardini , Paweł Gawrychowski , Nadia Pisanti , Solon P. Pissis , Giovanna Rosone

Practical data structures for the edit-sensitive parsing (ESP) are proposed. Given a string S, its ESP tree is equivalent to a context-free grammar G generating just S, which is represented by a DAG. Using the succinct data structures for…

Data Structures and Algorithms · Computer Science 2015-03-17 Naoya Kishiue , Masaya Nakahara , Shirou Maruyama , Hiroshi Sakamoto

Metric learning has the aim to improve classification accuracy by learning a distance measure which brings data points from the same class closer together and pushes data points from different classes further apart. Recent research has…

Machine Learning · Computer Science 2018-07-17 Benjamin Paaßen , Claudio Gallicchio , Alessio Micheli , Barbara Hammer

This paper revisits recent code similarity evaluation metrics, particularly focusing on the application of Abstract Syntax Tree (AST) editing distance in diverse programming languages. In particular, we explore the usefulness of these…

Computation and Language · Computer Science 2025-06-06 Yewei Song , Cedric Lothritz , Daniel Tang , Tegawendé F. Bissyandé , Jacques Klein

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…

Data Structures and Algorithms · Computer Science 2018-11-13 William Kuszmaul

We propose the neural string edit distance model for string-pair matching and string transduction based on learnable string edit distance. We modify the original expectation-maximization learned edit distance algorithm into a differentiable…

Computation and Language · Computer Science 2022-04-28 Jindřich Libovický , Alexander Fraser

Edit-distance-based string similarity search has many applications such as spell correction, data de-duplication, and sequence alignment. However, computing edit distance is known to have high complexity, which makes string similarity…

Databases · Computer Science 2020-05-25 Xinyan Dai , Xiao Yan , Kaiwen Zhou , Yuxuan Wang , Han Yang , James Cheng

Metric learning has the aim to improve classification accuracy by learning a distance measure which brings data points from the same class closer together and pushes data points from different classes further apart. Recent research has…

Machine Learning · Computer Science 2018-05-21 Benjamin Paaßen

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…

Data Structures and Algorithms · Computer Science 2020-11-17 Panagiotis Charalampopoulos , Tomasz Kociumaka , Philip Wellnitz

The Energy Mover's Distance (EMD) has seen use in collider physics as a metric between events and as a geometric method of defining infrared and collinear safe observables. Recently, the Spectral Energy Mover's Distance (SEMD) has been…

High Energy Physics - Phenomenology · Physics 2025-01-14 Rikab Gambhir , Andrew J. Larkoski , Jesse Thaler

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 · Computer Science 2008-02-03 Eric Sven Ristad , Peter N. Yianilos

Many natural language processing (NLP) applications require the computation of similarities between pairs of syntactic or semantic trees. Many researchers have used tree edit distance for this task, but this technique suffers from the…

Computation and Language · Computer Science 2014-02-05 Maytham Alabbas , Allan Ramsay
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