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We report (to our knowledge) the first evaluation of Constraint Satisfaction as a computational framework for solving closest string problems. We show that careful consideration of symbol occurrences can provide search heuristics that…

Artificial Intelligence · Computer Science 2010-05-04 Tom Kelsey , Lars Kotthoff

The theory of sequences, supported by many SMT solvers, can model program data types including bounded arrays and lists. Sequences are parameterized by the element data type and provide operations such as accessing elements, concatenation,…

Programming Languages · Computer Science 2025-09-09 Denghang Hu , Taolue Chen , Philipp Rümmer , Fu Song , Zhilin Wu

The problem of dictionary matching is a classical problem in string matching: given a set S of d strings of total length n characters over an (not necessarily constant) alphabet of size sigma, build a data structure so that we can match in…

Data Structures and Algorithms · Computer Science 2015-05-18 Djamal Belazzougui

Burrows-Wheeler transform (BWT) is an invertible text transformation that, given a text $T$ of length $n$, permutes its symbols according to the lexicographic order of suffixes of $T$. BWT is one of the most heavily studied algorithms in…

Data Structures and Algorithms · Computer Science 2020-12-09 Dominik Kempa , Tomasz Kociumaka

Stencil kernels dominate a range of scientific applications, including seismic and medical imaging, image processing, and neural networks. Temporal blocking is a performance optimization that aims to reduce the required memory bandwidth of…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-26 George Bisbas , Fabio Luporini , Mathias Louboutin , Rhodri Nelson , Gerard Gorman , Paul H. J. Kelly

We study uniquely decodable codes and list decodable codes in the high-noise regime, specifically codes that are uniquely decodable from $\frac{1-\varepsilon}{2}$ fraction of errors and list decodable from $1-\varepsilon$ fraction of…

Information Theory · Computer Science 2024-11-06 Xin Li , Songtao Mao

Given a directed, weighted graph $G=(V,E)$ undergoing edge insertions, the incremental single-source shortest paths (SSSP) problem asks for the maintenance of approximate distances from a dedicated source $s$ while optimizing the total time…

Data Structures and Algorithms · Computer Science 2021-10-25 Rasmus Kyng , Simon Meierhans , Maximilian Probst Gutenberg

The edit distance problem is a classical fundamental problem in computer science in general, and in combinatorial pattern matching in particular. The standard dynamic programming solution for this problem computes the edit-distance between…

Data Structures and Algorithms · Computer Science 2016-10-05 Danny Hermelin , Gad M. Landau , Shir Landau , Oren Weimann

In this paper we describe a data structure that supports pattern matching queries on a dynamically arriving text over an alphabet ofconstant size. Each new symbol can be prepended to $T$ in O(1) worst-case time. At any moment, we can report…

Data Structures and Algorithms · Computer Science 2013-07-09 Gregory Kucherov , Yakov Nekrich

The edit distance between strings classically assigns unit cost to every character insertion, deletion, and substitution, whereas the Hamming distance only allows substitutions. In many real-life scenarios, insertions and deletions…

Data Structures and Algorithms · Computer Science 2026-02-23 Elazar Goldenberg , Tomasz Kociumaka , Robert Krauthgamer , Barna Saha

This work tackles the problem of fuzzy joining of strings that naturally tokenize into meaningful substrings, e.g., full names. Tokenized-string joins have several established applications in the context of data integration and cleaning.…

Information Retrieval · Computer Science 2019-03-25 Ahmed Metwally , Chun-Heng Huang

Identifying palindromes in sequences has been an interesting line of research in combinatorics on words and also in computational biology, after the discovery of the relation of palindromes in the DNA sequence with the HIV virus. Efficient…

Data Structures and Algorithms · Computer Science 2017-03-28 Michał Adamczyk , Mai Alzamel , Panagiotis Charalampopoulos , Costas S. Iliopoulos , Jakub Radoszewski

This paper presents segmentation-free strategies for the recognition of handwritten numeral strings of unknown length. A synthetic dataset of touching numeral strings of sizes 2-, 3- and 4-digits was created to train end-to-end solutions…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Andre G Hochuli , Luiz E S Oliveira , Alceu S Britto , Robert Sabourin

In coding theory, handling errors that occur when symbols are inserted or deleted from a transmitted message is a long-standing challenge. Optimising redundancy for insertion and deletion channels remains a key open problem with significant…

Information Theory · Computer Science 2026-02-02 Anamika Singh , Abhay Kumar Singh

We study segmented burst-deletion channels motivated by the observation that synchronization errors commonly occur in a bursty manner in real-world settings. In this channel model, transmitted sequences are implicitly divided into…

Information Theory · Computer Science 2025-07-21 Yajuan Liu , Tolga M. Duman

In sparse coding, we attempt to extract features of input vectors, assuming that the data is inherently structured as a sparse superposition of basic building blocks. Similarly, neural networks perform a given task by learning features of…

Machine Learning · Computer Science 2022-02-16 Deborah Pereg , Israel Cohen , Anthony A. Vassiliou

A classical measure of string comparison is given by the longest common subsequence (LCS) problem on a pair of strings. We consider its generalisation, called the semi-local LCS problem, which arises naturally in many string-related…

Data Structures and Algorithms · Computer Science 2015-03-13 Alexander Tiskin

Synchronization is of importance in both fundamental and applied physics, but their demonstration at the micro/nanoscale is mainly limited to low-frequency oscillations like mechanical resonators. Here, we report the synchronization of two…

Optics · Physics 2019-07-09 Da Xu , Zi-Zhao Han , Yu-Kun Lu , Qihuang Gong , Cheng-Wei Qiu , Gang Chen , Yun-Feng Xiao

It has been proved that to implement a linearizable shared memory in synchronous message-passing systems it is necessary to wait for a time proportional to the uncertainty in the latency of the network for both read and write operations,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-01 Matthieu Perrin , Matoula Petrolia , Achour Mostefaoui , Claude Jard

To implement a linearizable shared memory in synchronous message-passing systems it is necessary to wait for a time linear to the uncertainty in the latency of the network for both read and write operations. Waiting only for one of them…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-28 Matthieu Perrin , Matoula Petrolia , Achour Mostefaoui , Claude Jard