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We put forth a new string matching algorithm which matches the pattern from neither the left nor the right end, instead a special position. Comparing with the Knuth-Morris-Pratt algorithm and the Boyer-Moore algorithm, the new algorithm is…

Data Structures and Algorithms · Computer Science 2014-01-29 Zhengjun Cao , Lihua Liu

A weighted string over an alphabet of size $\sigma$ is a string in which a set of letters may occur at each position with respective occurrence probabilities. Weighted strings, also known as position weight matrices or uncertain sequences,…

Data Structures and Algorithms · Computer Science 2015-12-09 Carl Barton , Chang Liu , Solon P. Pissis

There have been some works that learn a lexicon together with the corpus to improve the word embeddings. However, they either model the lexicon separately but update the neural networks for both the corpus and the lexicon by the same…

Computation and Language · Computer Science 2017-07-25 Yuanzhi Ke , Masafumi Hagiwara

In this paper, we propose a novel word-alignment-based method to solve the FAQ-based question answering task. First, we employ a neural network model to calculate question similarity, where the word alignment between two questions is used…

Computation and Language · Computer Science 2015-07-10 Zhiguo Wang , Abraham Ittycheriah

We propose efficient algorithms for enumerating maximal common subsequences (MCSs) of two strings. Efficiency of the algorithms are estimated by the preprocessing-time, space, and delay-time complexities. One algorithm prepares a…

Data Structures and Algorithms · Computer Science 2023-07-21 Miyuji Hirota , Yoshifumi Sakai

Given a text and a pattern over an alphabet, the pattern matching problem searches for all occurrences of the pattern in the text. An equivalence relation $\approx$ is called a substring consistent equivalence relation (SCER), if for two…

Data Structures and Algorithms · Computer Science 2022-07-28 Davaajav Jargalsaikhan , Diptarama Hendrian , Ryo Yoshinaka , Ayumi Shinohara

This paper aims at providing extremely efficient algorithms for approximate query enumeration on sparse databases, that come with performance and accuracy guarantees. We introduce a new model for approximate query enumeration on classes of…

Databases · Computer Science 2021-01-19 Isolde Adler , Polly Fahey

The binary string matching problem consists in finding all the occurrences of a pattern in a text where both strings are built on a binary alphabet. This is an interesting problem in computer science, since binary data are omnipresent in…

Data Structures and Algorithms · Computer Science 2008-10-15 Simone Faro , Thierry Lecroq

Identifying texts with a given semantics is central for many information seeking scenarios. Similarity search over vector embeddings appear to be central to this ability, yet the similarity reflected in current text embeddings is…

Computation and Language · Computer Science 2024-07-25 Shauli Ravfogel , Valentina Pyatkin , Amir DN Cohen , Avshalom Manevich , Yoav Goldberg

We introduce a new algorithm for constructing the generalized suffix array of a collection of highly similar strings. As a first step, we construct a compressed representation of the matching statistics of the collection with respect to a…

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

We study a new variant of the string matching problem called cross-document string matching, which is the problem of indexing a collection of documents to support an efficient search for a pattern in a selected document, where the pattern…

Data Structures and Algorithms · Computer Science 2012-06-21 Gregory Kucherov , Yakov Nekrich , Tatiana Starikovskaya

In the dictionary learning (or sparse coding) problem, we are given a collection of signals (vectors in $\mathbb{R}^d$), and the goal is to find a "basis" in which the signals have a sparse (approximate) representation. The problem has…

Machine Learning · Computer Science 2019-05-30 Aditya Bhaskara , Wai Ming Tai

For a text given in advance, the substring minimal suffix queries ask to determine the lexicographically minimal non-empty suffix of a substring specified by the location of its occurrence in the text. We develop a data structure answering…

Data Structures and Algorithms · Computer Science 2016-02-01 Tomasz Kociumaka

A predecessor (successor) search finds the largest element $x^-$ smaller than the input string $x$ (the smallest element $x^+$ larger than or equal to $x$, respectively) out of a given set $S$; in this paper, we consider the static case…

Data Structures and Algorithms · Computer Science 2012-09-26 Djamal Belazzougui , Paolo Boldi , Sebastiano Vigna

Searching for all occurrences of a pattern in a text is a fundamental problem in computer science with applications in many other fields, like natural language processing, information retrieval and computational biology. In the last two…

Information Retrieval · Computer Science 2012-10-01 Simone Faro , M. Oguzhan Külekci

Text analytics has become an important part of business intelligence as enterprises increasingly seek to extract insights for decision making from text data sets. Processing large text data sets can be computationally expensive, however,…

Databases · Computer Science 2020-01-14 Guangyan Hu , Yongfeng Zhang , Sandro Rigo , Thu D. Nguyen

We study the internal dictionary matching (IDM) problem where a dictionary $\mathcal{D}$ containing $d$ substrings of a text $T$ is given, and each query concerns the occurrences of patterns in $\mathcal{D}$ in another substring of $T$. We…

Data Structures and Algorithms · Computer Science 2025-05-16 Jingbang Chen , Jiangqi Dai , Qiuyang Mang , Qingyu Shi , Tingqiang Xu

In this paper we propose and study a new complexity model for approximation algorithms. The main motivation are practical problems over large data sets that need to be solved many times for different scenarios, e.g., many multicast trees…

Data Structures and Algorithms · Computer Science 2010-06-18 Marek Cygan , Lukasz Kowalik , Marcin Mucha , Marcin Pilipczuk , Piotr Sankowski

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

The problem of {\em efficiently} finding the best match for a query in a given set with respect to the Euclidean distance or the cosine similarity has been extensively studied in literature. However, a closely related problem of efficiently…

Computational Geometry · Computer Science 2021-06-24 Parikshit Ram , Alexander G. Gray
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