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Quantum multi-programming is a method utilizing contemporary noisy intermediate-scale quantum computers by executing multiple quantum circuits concurrently. Despite early research on it, the research remains on quantum gates or small-size…

量子物理 · 物理学 2023-08-09 Gilchan Park , Kun Zhang , Kwangmin Yu , Vladimir Korepin

We investigate whether there are inherent limits of parallelization in the (randomized) massively parallel computation (MPC) model by comparing it with the (sequential) RAM model. As our main result, we show the existence of hard functions…

数据结构与算法 · 计算机科学 2020-08-18 Kai-Min Chung , Kuan-Yi Ho , Xiaorui Sun

We propose smooth $q$-gram, the first variant of $q$-gram that captures $q$-gram pair within a small edit distance. We apply smooth $q$-gram to the problem of detecting overlapping pairs of error-prone reads produced by single molecule real…

数据结构与算法 · 计算机科学 2018-02-06 Haoyu Zhang , Qin Zhang , Haixu Tang

We study permutation (jumbled/Abelian) pattern matching over a general alphabet $\Sigma$. Given a pattern P of length m and a text T of length n, the classical task is to decide whether T contains a length-m substring whose Parikh vector…

数据结构与算法 · 计算机科学 2026-01-15 MD Nazmul Alam Shanto , Md. Tanzeem Rahat , Md. Manzurul Hasan

The text-to-pattern Hamming distances problem asks to compute the Hamming distances between a given pattern of length $m$ and all length-$m$ substrings of a given text of length $n\ge m$. We focus on the $k$-mismatch version of the problem,…

数据结构与算法 · 计算机科学 2022-03-30 Raphaël Clifford , Paweł Gawrychowski , Tomasz Kociumaka , Daniel P. Martin , Przemysław Uznański

Given a set of pattern strings $\mathcal{P}=\{P_1, P_2,\ldots P_k\}$ and a text string $S$, the classic dictionary matching problem is to report all occurrences of each pattern in $S$. We study the dictionary problem in the compressed…

数据结构与算法 · 计算机科学 2025-09-04 Philip Bille , Inge Li Gørtz , Simon J. Puglisi , Simon R. Tarnow

The NP-complete Permutation Pattern Matching problem asks whether a permutation P (the pattern) can be matched into a permutation T (the text). A matching is an order-preserving embedding of P into T. In the Generalized Permutation Pattern…

计算复杂性 · 计算机科学 2013-01-15 Marie-Louise Bruner , Martin Lackner

Given a pattern x of length m and a text y of length n, both over an ordered alphabet, the order-preserving pattern matching problem consists in finding all substrings of the text with the same relative order as the pattern. It is an…

数据结构与算法 · 计算机科学 2015-01-19 Simone Faro , Oğuzhan Külekci

Exactly solving multi-objective integer programming (MOIP) problems is often a very time consuming process, especially for large and complex problems. Parallel computing has the potential to significantly reduce the time taken to solve such…

最优化与控制 · 数学 2018-11-02 William Pettersson , Melih Ozlen

Klee's Measure Problem (KMP) asks for the volume of the union of n axis-aligned boxes in d-space. Omitting logarithmic factors, the best algorithm has runtime O*(n^{d/2}) [Overmars,Yap'91]. There are faster algorithms known for several…

计算几何 · 计算机科学 2013-06-13 Karl Bringmann

Given a text $T$ and a pattern $P$, the order-preserving matching problem is to find all substrings in $T$ which have the same relative orders as $P$. Order-preserving matching has been an active research area since it was introduced by…

数据结构与算法 · 计算机科学 2015-06-18 Myoungji Han , Munseong Kang , Sukhyeun Cho , Geonmo Gu , Jeong Seop Sim , Kunsoo Park

In this note, we investigate the theoretical properties of Orthogonal Matching Pursuit (OMP), a class of decoder to recover sparse signal in compressed sensing. In particular, we show that the OMP decoder can give $(p,q)$ instance…

信息论 · 计算机科学 2011-02-18 Zhiqiang Xu

The aim of sequential pattern mining (SPM) is to discover potentially useful information from a given se-quence. Although various SPM methods have been investigated, most of these focus on mining all of the patterns. However, users…

数据库 · 计算机科学 2023-01-31 Yan Li , Chang Zhang , Jie Li , Wei Song , Zhenlian Qi , Youxi Wu , Xindong Wu

Multigraph matching is a recent variant of the graph matching problem. In this framework, the optimization procedure considers several graphs and enforces the consistency of the matches along the graphs. This constraint can be formalized as…

机器学习 · 计算机科学 2022-10-12 François-Xavier Dupé , Rohit Yadav , Guillaume Auzias , S. Takerkart

We show how to represent sets in a linear space data structure such that expressions involving unions and intersections of sets can be computed in a worst-case efficient way. This problem has applications in e.g. information retrieval and…

数据结构与算法 · 计算机科学 2007-08-27 Philip Bille , Anna Pagh , Rasmus Pagh

Multiple Set Membership Testing (MSMT) is a well-known problem in a variety of search and query applications. Given a dataset of K different sets and a query q, it aims to find all of the sets containing the query. Trivially, an MSMT…

数据结构与算法 · 计算机科学 2020-07-21 Gaurav Gupta , Minghao Yan , Benjamin Coleman , R. A. Leo Elworth , Tharun Medini , Todd Treangen , Anshumali Shrivastava

Random networks are widely used for modeling and analyzing complex processes. Many mathematical models have been proposed to capture diverse real-world networks. One of the most important aspects of these models is degree distribution.…

分布式、并行与集群计算 · 计算机科学 2015-05-27 Maksudul Alam , Maleq Khan

String matching is a fundamental problem in computer science, with critical applications in text retrieval, bioinformatics, and data analysis. Among the numerous solutions that have emerged for this problem in recent decades,…

数据结构与算法 · 计算机科学 2025-03-10 Simone Faro , Arianna Pavone , Caterina Viola

The problem of finding factors of a text string which are identical or similar to a given pattern string is a central problem in computer science. A generalised version of this problem consists in implementing an index over the text to…

数据结构与算法 · 计算机科学 2016-02-04 Carl Barton , Tomasz Kociumaka , Solon P. Pissis , Jakub Radoszewski

In this paper, we describe a new type of match between a pattern and a text that aren't necessarily maximal in the query, but still contain useful matching information: locally maximal exact matches (LEMs). There are usually a large amount…

数据结构与算法 · 计算机科学 2025-05-22 Ahsan Sanaullah , Degui Zhi , Shaojie Zhang