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We introduce a new string matching problem called order-preserving matching on numeric strings where a pattern matches a text if the text contains a substring whose relative orders coincide with those of the pattern. Order-preserving…

Data Structures and Algorithms · Computer Science 2013-02-19 Jinil Kim , Peter Eades , Rudolf Fleischer , Seok-Hee Hong , Costas S. Iliopoulos , Kunsoo Park , Simon J. Puglisi , Takeshi Tokuyama

An ideal outcome of pattern mining is a small set of informative patterns, containing no redundancy or noise, that identifies the key structure of the data at hand. Standard frequent pattern miners do not achieve this goal, as due to the…

Data Structures and Algorithms · Computer Science 2019-02-11 Nikolaj Tatti , Jilles Vreeken

Decision Tree (DT) Learning is a fundamental problem in Interpretable Machine Learning, yet it poses a formidable optimisation challenge. Practical algorithms have recently emerged, primarily leveraging Dynamic Programming and Branch &…

Machine Learning · Computer Science 2025-05-13 Ayman Chaouki , Jesse Read , Albert Bifet

Working with exhaustive search on large dataset is infeasible for several reasons. Recently, developed techniques that made pattern set mining feasible by a general solver with long execution time that supports heuristic search and are…

Artificial Intelligence · Computer Science 2015-07-21 Shanjida Khatun , Hasib Ul Alam , Swakkhar Shatabda

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

Given a text $T$ of length $n$ and a pattern $P$ of length $m$, the string matching problem is a task to find all occurrences of $P$ in $T$. In this study, we propose an algorithm that solves this problem in $O((n + m)q)$ time considering…

Data Structures and Algorithms · Computer Science 2020-04-14 Satoshi Kobayashi , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

In runtime verification, pattern matching, which searches for occurrences of a specific pattern within a word, provides more information than a simple violation detection of the monitored property, by locating concrete evidence of the…

Formal Languages and Automata Theory · Computer Science 2025-07-17 Masaki Waga , Étienne André

More than 120 algorithms have been developed for exact string matching within the last 40 years. We show by experiments that the \naive{} algorithm exploiting SIMD instructions of modern CPUs (with symbols compared in a special order) is…

Data Structures and Algorithms · Computer Science 2016-12-06 Jorma Tarhio , Jan Holub , Emanuele Giaquinta

String matching is one of the most fundamental problems in computer science. A natural problem is to determine the number of characters that need to be queried (i.e. the decision tree complexity) in a string in order to decide whether this…

Computational Complexity · Computer Science 2018-06-29 Xiaoyu He , Neng Huang , Xiaoming Sun

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

Accelerating inexact string matching procedures is of utmost importance when dealing with practical applications where huge amount of data must be processed in real time, as usual in bioinformatics or cybersecurity. Inexact matching…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-27 Alessandro Cinti , Filippo Maria Bianchi , Alessio Martino , Antonello Rizzi

The problem of content search through comparisons has recently received considerable attention. In short, a user searching for a target object navigates through a database in the following manner: the user is asked to select the object most…

Machine Learning · Computer Science 2014-02-11 Amin Karbasi , Stratis Ioannidis , Laurent Massoulie

Several biological problems require the identification of regions in a sequence where some feature occurs within a target density range: examples including the location of GC-rich regions, identification of CpG islands, and sequence…

Data Structures and Algorithms · Computer Science 2013-08-15 Benjamin A. Burton , Mathias Hiron

Given an indeterminate string pattern $p$ and an indeterminate string text $t$, the problem of order-preserving pattern matching with character uncertainties ($\mu$OPPM) is to find all substrings of $t$ that satisfy one of the possible…

Data Structures and Algorithms · Computer Science 2019-05-08 Diogo Costa , Luís M. S. Russo , Rui Henriques , Hideo Bannai , Alexandre P. Francisco

Given the vast reservoirs of data stored worldwide, efficient mining of data from a large information store has emerged as a great challenge. Many databases like that of intrusion detection systems, web-click records, player statistics,…

Databases · Computer Science 2010-03-09 Sourav Dutta , Arnab Bhattacharya

The rapid increase in the use of IoT devices brings many benefits to the digital society, ranging from improved efficiency to higher productivity. However, the limited resources and the open nature of these devices make them vulnerable to…

Cryptography and Security · Computer Science 2021-09-07 Joseph Rose , Matthew Swann , Gueltoum Bendiab , Stavros Shiaeles , Nicholas Kolokotronis

Although there have been many solutions applied, the safety challenges related to the password security mechanism are not reduced. The reason for this is that while the means and tools to support password attacks are becoming more and more…

Cryptography and Security · Computer Science 2019-12-05 Nguyen Hong Son , Ha Thanh Dung

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

Constraint-based pattern discovery is at the core of numerous data mining tasks. Patterns are extracted with respect to a given set of constraints (frequency, closedness, size, etc). In the context of sequential pattern mining, a large…

Artificial Intelligence · Computer Science 2013-11-28 Jean-Philippe Métivier , Samir Loudni , Thierry Charnois

Cartesian tree pattern matching consists of finding all the factors of a text that have the same Cartesian tree than a given pattern. There already exist theoretical and practical solutions for the exact case. In this paper, we propose the…

Data Structures and Algorithms · Computer Science 2025-05-15 Bastien Auvray , Julien David , Samah Ghazawi , Richard Groult , Gad M. Landau , Thierry Lecroq
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