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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…

数据结构与算法 · 计算机科学 2013-02-19 Jinil Kim , Peter Eades , Rudolf Fleischer , Seok-Hee Hong , Costas S. Iliopoulos , Kunsoo Park , Simon J. Puglisi , Takeshi Tokuyama

Motif finding is an important step for the detection of rare events occurring in a set of DNA or protein sequences. Extraction of information about these rare events can lead to new biological discoveries. Motifs are some important patterns…

数据结构与算法 · 计算机科学 2024-03-04 Saurav Dhar , Amlan Saha , Dhiman Goswami , Md. Abul Kashem Mia

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…

数据结构与算法 · 计算机科学 2023-03-13 Thierry Lecroq

Here we study the complexity of string problems as a function of the size of a program that generates input. We consider straight-line programs (SLP), since all algorithms on SLP-generated strings could be applied to processing…

数据结构与算法 · 计算机科学 2007-05-23 Yury Lifshits

Discovering the most interesting patterns is the key problem in the field of pattern mining. While ranking or selecting patterns is well-studied for itemsets it is surprisingly under-researched for other, more complex, pattern types. In…

机器学习 · 计算机科学 2019-04-18 Nikolaj Tatti

Given an array $\mathcal{A}$ of $n$ elements and a value $2 \leq k \leq n$, a frequent item or $k$-majority element is an element occurring in $\mathcal{A}$ more than $n/k$ times. The $k$-majority problem requires finding all of the…

分布式、并行与集群计算 · 计算机科学 2017-01-12 Massimo Cafaro , Marco Pulimeno , Italo Epicoco , Giovanni Aloisio

Permutation patterns and pattern avoidance have been intensively studied in combinatorics and computer science, going back at least to the seminal work of Knuth on stack-sorting (1968). Perhaps the most natural algorithmic question in this…

数据结构与算法 · 计算机科学 2019-08-14 Benjamin Aram Berendsohn , László Kozma , Dániel Marx

The equidistant subsequence pattern matching problem is considered. Given a pattern string $P$ and a text string $T$, we say that $P$ is an \emph{equidistant subsequence} of $T$ if $P$ is a subsequence of the text such that consecutive…

数据结构与算法 · 计算机科学 2020-02-18 Mitsuru Funakoshi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda , Ayumi Shinohara

Analyzing patterns in a sequence of events has applications in text analysis, computer programming, and genomics research. In this paper, we consider the all-window-length analysis model which analyzes a sequence of events with respect to…

数据结构与算法 · 计算机科学 2020-12-01 Joshua Sobel , Noah Bertram , Chen Ding , Fatemeh Nargesian , Daniel Gildea

In the paper, we investigate two problems on strings. The first one is the String matching problem, and the second one is the String comparing problem. We provide a quantum algorithm for the String matching problem that uses exponentially…

量子物理 · 物理学 2023-05-19 Farid Ablayev , Marat Ablayev , Kamil Khadiev , Nailya Salihova , Alexander Vasiliev

Given a regular expression $R$ and a string $Q$, the regular expression parsing problem is to determine if $Q$ matches $R$ and if so, determine how it matches, e.g., by a mapping of the characters of $Q$ to the characters in $R$. Regular…

数据结构与算法 · 计算机科学 2019-01-30 Philip Bille , Inge Li Gørtz

Pattern matching is a fundamental process in almost every scientific domain. The problem involves finding the positions of a given pattern (usually of short length) in a reference stream of data (usually of large length). The matching can…

数据结构与算法 · 计算机科学 2022-07-01 Anas Al-okaily , Abdelghani Tbakhi

Given a string $s$ of length $n$ over a general alphabet and an integer $k$, the problem is to decide whether $s$ is a concatenation of $k$ nonempty palindromes. Two previously known solutions for this problem work in time $O(kn)$ and…

数据结构与算法 · 计算机科学 2020-07-07 Mikhail Rubinchik , Arseny M. Shur

We study distributed algorithms for string matching problem in presence of wildcard characters. Given a string T (a text), we look for all occurrences of another string P (a pattern) as a substring of string T . Each wildcard character in…

分布式、并行与集群计算 · 计算机科学 2021-06-08 MohammadTaghi Hajiaghayi , Hamed Saleh , Saeed Seddighin , Xiaorui Sun

We consider a class of pattern matching problems where a normalising transformation is applied at every alignment. Normalised pattern matching plays a key role in fields as diverse as image processing and musical information processing…

数据结构与算法 · 计算机科学 2015-03-19 Ayelet Butman , Peter Clifford , Raphael Clifford , Markus Jalsenius , Noa Lewenstein , Benny Porat , Ely Porat , Benjamin Sach

The need to analyze information from streams arises in a variety of applications. One of its fundamental research directions is to mine sequential patterns over data streams. Current studies mine series of items based on the presence of the…

数据库 · 计算机科学 2022-04-12 Thomas Guyet , Wenbin Zhang , Albert Bifet

We study here the so called subsequence pattern matching also known as hidden pattern matching in which one searches for a given pattern $w$ of length $m$ as a subsequence in a random text of length $n$. The quantity of interest is the…

概率论 · 数学 2020-03-24 Svante Janson , Wojciech Szpankowski

In the Pattern Masking for Dictionary Matching (PMDM) problem, we are given a dictionary $\mathcal{D}$ of $d$ strings, each of length $\ell$, a query string $q$ of length $\ell$, and a positive integer $z$, and we are asked to compute a…

We show how to answer spatial multiple-set intersection queries in O(n(log w)/w + kt) expected time, where n is the total size of the t sets involved in the query, w is the number of bits in a memory word, k is the output size, and c is any…

数据结构与算法 · 计算机科学 2017-08-31 Michael T. Goodrich

We study algorithms for solving three problems on strings. The first one is the Most Frequently String Search Problem. The problem is the following. Assume that we have a sequence of $n$ strings of length $k$. The problem is finding the…

量子物理 · 物理学 2020-01-08 Kamil Khadiev , Artem Ilikaev