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Efficient pattern matching is fundamental for practical term rewrite engines. By preprocessing the given patterns into a finite deterministic automaton the matching patterns can be decided in a single traversal of the relevant parts of the…

Logic in Computer Science · Computer Science 2023-06-22 Rick Erkens , Maurice Laveaux

There has been surprisingly little work on algorithms for sorting strings on distributed-memory parallel machines. We develop efficient algorithms for this problem based on the multi-way merging principle. These algorithms inspect only…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-24 Timo Bingmann , Peter Sanders , Matthias Schimek

In the realm of computer science, the efficiency of text-search algorithms is crucial for processing vast amounts of data in areas such as natural language processing and bioinformatics. Traditional methods like Naive Search, KMP, and…

Data Structures and Algorithms · Computer Science 2025-12-22 Xinyu Guan , Shaohua Zhang

We define the ``shift-match number'' for a binary string and we compute the probability of occurrence of a given string as a subsequence in longer strings in terms of its shift-match number. We thus prove that the string matching…

Genomics · Quantitative Biology 2007-05-23 A. H. Bilge , A. Erzan , D. Balcan

We introduce the natural notion of a matching frame in a $2$-dimensional string. A matching frame in a $2$-dimensional $n\times m$ string $M$, is a rectangle such that the strings written on the horizontal sides of the rectangle are…

Data Structures and Algorithms · Computer Science 2024-04-19 Itai Boneh , Dvir Fried , Shay Golan , Matan Kraus , Adrian Miclaus , Arseny Shur

The paper [1] shows that simple linear classifier can compete with complex deep learning algorithms in text classification applications. Combining bag of words (BoW) and linear classification techniques, fastText [1] attains same or only…

Computation and Language · Computer Science 2017-02-21 Vladimir Zolotov , David Kung

We present a new algorithm for subsequence matching in grammar compressed strings. Given a grammar of size $n$ compressing a string of size $N$ and a pattern string of size $m$ over an alphabet of size $\sigma$, our algorithm uses…

Data Structures and Algorithms · Computer Science 2014-06-06 Philip Bille , Patrick Hagge Cording , Inge Li Gørtz

Given a text and a pattern over two types of symbols called constants and variables, the parameterized pattern matching problem is to find all occurrences of substrings of the text that the pattern matches by substituting a variable in the…

Data Structures and Algorithms · Computer Science 2017-05-29 Yuki Igarashi , Diptarama , Ryo Yoshinaka , Ayumi Shinohara

In this paper, a new compression scheme for text is presented. The same is efficient in giving high compression ratios and enables super fast searching within the compressed text. Typical compression ratios of 70-80% and reducing the search…

Information Retrieval · Computer Science 2007-07-16 Udayan Khurana , Anirudh Koul

In this paper, we consider the problem of identifying patterns of interest in colored strings. A colored string is a string where each position is assigned one of a finite set of colors. Our task is to find substrings of the colored string…

Data Structures and Algorithms · Computer Science 2024-04-16 Zsuzsanna Lipták , Simon J. Puglisi , Massimiliano Rossi

The classical pattern matching asks for locating all occurrences of one string, called the pattern, in another, called the text, where a string is simply a sequence of characters. Due to the potential practical applications, it is desirable…

Data Structures and Algorithms · Computer Science 2024-10-30 Jonas Ellert , Paweł Gawrychowski , Adam Górkiewicz , Tatiana Starikovskaya

We introduce string2string, an open-source library that offers a comprehensive suite of efficient algorithms for a broad range of string-to-string problems. It includes traditional algorithmic solutions as well as recent advanced neural…

Computation and Language · Computer Science 2023-04-28 Mirac Suzgun , Stuart M. Shieber , Dan Jurafsky

We present a novel method for efficiently producing semi-dense matches across images. Previous detector-free matcher LoFTR has shown remarkable matching capability in handling large-viewpoint change and texture-poor scenarios but suffers…

Computer Vision and Pattern Recognition · Computer Science 2024-03-13 Yifan Wang , Xingyi He , Sida Peng , Dongli Tan , Xiaowei Zhou

We study strategies of approximate pattern matching that exploit bidirectional text indexes, extending and generalizing ideas of Lam et al. We introduce a formalism, called search schemes, to specify search strategies of this type, then…

Data Structures and Algorithms · Computer Science 2015-09-08 Gregory Kucherov , Kamil Salikhov , Dekel Tsur

Detector-based and detector-free matchers are only applicable within their respective sparsity ranges. To improve adaptability of existing matchers, this paper introduces a novel probabilistic reweighting method. Our method is applicable to…

Image and Video Processing · Electrical Eng. & Systems 2025-04-08 Ya Fan , Rongling Lang

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…

Databases · Computer Science 2019-05-30 Haoyu Zhang , Qin Zhang

Term pattern matching is the problem of finding all pattern matches in a subject term, given a set of patterns. Finding efficient algorithms for this problem is an important direction for research [19]. We present a new set automaton…

Formal Languages and Automata Theory · Computer Science 2021-06-30 Rick Erkens , Jan Friso Groote

This work presents a comparison of machine learning algorithms that are implemented to segment the characters of text presented as an image. The algorithms are designed to work on degraded documents with text that is not aligned in an…

Computer Vision and Pattern Recognition · Computer Science 2021-07-29 P Preethi , Hrishikesh Viswanath

Packing several characters into one computer word is a simple and natural way to compress the representation of a string and to speed up its processing. Exploiting this idea, we propose an index for a packed string, based on a {\em sparse…

Data Structures and Algorithms · Computer Science 2015-03-19 Roman Kolpakov , Gregory Kucherov , Tatiana Starikovskaya

We propose a novel transition-based algorithm that straightforwardly parses sentences from left to right by building $n$ attachments, with $n$ being the length of the input sentence. Similarly to the recent stack-pointer parser by Ma et al.…

Computation and Language · Computer Science 2019-03-21 Daniel Fernández-González , Carlos Gómez-Rodríguez
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