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FastText has established itself as a fundamental algorithm for learning word representations, demonstrating exceptional capability in handling out-of-vocabulary words through character-level n-gram embeddings. However, its hash-based…

Computation and Language · Computer Science 2025-06-03 Yimin Du

Document listing on string collections is the task of finding all documents where a pattern appears. It is regarded as the most fundamental document retrieval problem, and is useful in various applications. Many of the fastest-growing…

Data Structures and Algorithms · Computer Science 2019-02-21 Dustin Cobas , Gonzalo Navarro

Fast matching of regular expressions with bounded repetition, aka counting, such as (ab){50,100}, i.e., matching linear in the length of the text and independent of the repetition bounds, has been an open problem for at least two decades.…

Formal Languages and Automata Theory · Computer Science 2023-01-31 Lukáš Holík , Juraj Síč , Lenka Turoňová , Tomáš Vojnar

We present a new scalable, lightweight algorithm to incrementally construct the BWT and FM-index of large string sets such as those produced by Next Generation Sequencing. The algorithm is designed for massive parallelism and can…

Data Structures and Algorithms · Computer Science 2014-10-03 Jacopo Pantaleoni

Given a pattern string $P$ of length $n$ consisting of $\delta$ distinct characters and a query string $T$ of length $m$, where the characters of $P$ and $T$ are drawn from an alphabet $\Sigma$ of size $\Delta$, the {\em exact string…

Data Structures and Algorithms · Computer Science 2015-12-14 Srikrishnan Divakaran

Term-based sparse representations dominate the first-stage text retrieval in industrial applications, due to its advantage in efficiency, interpretability, and exact term matching. In this paper, we study the problem of transferring the…

Information Retrieval · Computer Science 2020-10-05 Yang Bai , Xiaoguang Li , Gang Wang , Chaoliang Zhang , Lifeng Shang , Jun Xu , Zhaowei Wang , Fangshan Wang , Qun Liu

Text indexing is a fundamental and well-studied problem. Classic solutions either replace the original text with a compressed representation, e.g., the FM-index and its variants, or keep it uncompressed but attach some redundancy - an index…

Data Structures and Algorithms · Computer Science 2026-02-05 Lorraine A. K. Ayad , Gabriele Fici , Ragnar Groot Koerkamp , Grigorios Loukides , Rob Patro , Giulio Ermanno Pibiri , Solon P. Pissis

The compressed indexing problem is to preprocess a string $S$ of length $n$ into a compressed representation that supports pattern matching queries. That is, given a string $P$ of length $m$ report all occurrences of $P$ in $S$. We present…

Data Structures and Algorithms · Computer Science 2018-04-12 Anders Roy Christiansen , Mikko Berggren Ettienne

Modern neural networks have greatly improved performance across speech recognition benchmarks. However, gains are often driven by frequent words with limited semantic weight, which can obscure meaningful differences in word error rate, the…

Computation and Language · Computer Science 2026-04-21 Lasse Borgholt , Jakob Havtorn , Christian Igel , Lars Maaløe , Zheng-Hua Tan

Matching pursuits are a class of greedy algorithms commonly used in signal processing, for solving the sparse approximation problem. They rely on an atom selection step that requires the calculation of numerous projections, which can be…

Data Structures and Algorithms · Computer Science 2012-04-06 Manuel Moussallam , Laurent Daudet , Gaël Richard

Regular expression (RE) matching is a very common functionality that scans a text to find occurrences of patterns specified by an RE; it includes the simpler function of RE recognition. Here we address RE parsing, which subsumes matching by…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-11 Angelo Borsotti , Luca Breveglieri , Stefano Crespi Reghizzi , Angelo Morzenti

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…

Data Structures and Algorithms · Computer Science 2015-01-19 Simone Faro , Oğuzhan Külekci

We study a class of finite state machines, called \defi{$w$-matching machines}, which yield to simulate the behavior of pattern matching algorithms while searching for a pattern $w$. They can be used to compute the asymptotic speed, i.e.…

Computational Complexity · Computer Science 2016-05-03 Gilles Didier

Detecting all the strings that occur in a text more frequently or less frequently than expected according to an IID or a Markov model is a basic problem in string mining, yet current algorithms are based on data structures that are either…

Data Structures and Algorithms · Computer Science 2015-08-13 Djamal Belazzougui , Fabio Cunial

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

Text retrieval using learned sparse representations of queries and documents has, over the years, evolved into a highly effective approach to search. It is thanks to recent advances in approximate nearest neighbor search-with the emergence…

Information Retrieval · Computer Science 2026-02-06 Sebastian Bruch , Martino Fontana , Franco Maria Nardini , Cosimo Rulli , Rossano Venturini

Dense vector representations for sentences made significant progress in recent years as can be seen on sentence similarity tasks. Real-world phrase retrieval applications, on the other hand, still encounter challenges for effective use of…

Computation and Language · Computer Science 2024-05-14 Eyal Orbach , Lev Haikin , Nelly David , Avi Faizakof

Computing string or sequence alignments is a classical method of comparing strings and has applications in many areas of computing, such as signal processing and bioinformatics. Semi-local string alignment is a recent generalisation of this…

Data Structures and Algorithms · Computer Science 2009-03-23 Peter Krusche , Alexander Tiskin

We engineer an algorithm to solve the approximate dictionary matching problem. Given a list of words $\mathcal{W}$, maximum distance $d$ fixed at preprocessing time and a query word $q$, we would like to retrieve all words from…

Information Retrieval · Computer Science 2010-08-19 Daniel Karch , Dennis Luxen , Peter Sanders

This paper introduces a scheme for data stream processing which is robust to batch duration. Streaming frameworks process streams in batches retrieved at fixed time intervals. In a common setting a pattern recognition algorithm is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-20 David Tolpin
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