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The Karp-Rabin fingerprint of a string is a type of hash value that due to its strong properties has been used in many string algorithms. In this paper we show how to construct a data structure for a string $S$ of size $N$ compressed by a…

Data Structures and Algorithms · Computer Science 2013-05-17 Philip Bille , Patrick Hagge Cording , Inge Li Gørtz , Benjamin Sach , Hjalte Wedel Vildhøj , Søren Vind

An elastic-degenerate (ED) string is a sequence of $n$ sets of strings of total length $N$, which was recently proposed to model a set of similar sequences. The ED string matching (EDSM) problem is to find all occurrences of a pattern of…

Data Structures and Algorithms · Computer Science 2021-05-05 Giulia Bernardini , Paweł Gawrychowski , Nadia Pisanti , Solon P. Pissis , Giovanna Rosone

In a dynamic retrieval system, documents must be ingested as they arrive, and be immediately findable by queries. Our purpose in this paper is to describe an index structure and processing regime that accommodates that requirement for…

Information Retrieval · Computer Science 2023-01-12 Alistair Moffat , Joel Mackenzie

Given a pattern string $P$ of length $n$ and a query string $T$ of length $m$, where the characters of $P$ and $T$ are drawn from an alphabet of size $\Delta$, the {\em exact string matching} problem consists of finding all occurrences of…

Data Structures and Algorithms · Computer Science 2015-10-01 Srikrishnan Divakaran

We show that the compressed suffix array and the compressed suffix tree of a string $T$ can be built in $O(n)$ deterministic time using $O(n\log\sigma)$ bits of space, where $n$ is the string length and $\sigma$ is the alphabet size.…

Data Structures and Algorithms · Computer Science 2016-11-15 J. Ian Munro , Gonzalo Navarro , Yakov Nekrich

Strings are a natural representation of biological data such as DNA, RNA and protein sequences. The problem of finding a string that summarizes a set of sequences has direct application in relative compression algorithms for genome and…

Data Structures and Algorithms · Computer Science 2019-12-06 P. Mirabal , J. Abreu , D. Seco

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

A novel sentence embedding method built upon semantic subspace analysis, called semantic subspace sentence embedding (S3E), is proposed in this work. Given the fact that word embeddings can capture semantic relationship while semantically…

Computation and Language · Computer Science 2020-03-05 Bin Wang , Fenxiao Chen , Yuncheng Wang , C. -C. Jay Kuo

Discourse structure is integral to understanding a text and is helpful in many NLP tasks. Learning latent representations of discourse is an attractive alternative to acquiring expensive labeled discourse data. Liu and Lapata (2018) propose…

Computation and Language · Computer Science 2019-06-11 Elisa Ferracane , Greg Durrett , Junyi Jessy Li , Katrin Erk

The goal of compressed sensing is to estimate a vector from an underdetermined system of noisy linear measurements, by making use of prior knowledge on the structure of vectors in the relevant domain. For almost all results in this…

Machine Learning · Statistics 2017-03-10 Ashish Bora , Ajil Jalal , Eric Price , Alexandros G. Dimakis

The dictionary matching problem is to locate occurrences of any pattern among a set of patterns in a given text. Massive data sets abound and at the same time, there are many settings in which working space is extremely limited. We…

Data Structures and Algorithms · Computer Science 2013-01-29 Shoshana Marcus Dina Sokol

This paper is an extended abstract of an analysis of term rewriting where the terms in the rewrite rules as well as the term to be rewritten are compressed by a singleton tree grammar (STG). This form of compression is more general than…

Logic in Computer Science · Computer Science 2013-02-27 Manfred Schmidt-Schauss

Given a string $S$ over an alphabet $\Sigma$, the 'string indexing problem' is to preprocess $S$ to subsequently support efficient pattern matching queries, i.e., given a pattern string $P$ report all the occurrences of $P$ in $S$. In this…

Data Structures and Algorithms · Computer Science 2023-01-24 Philip Bille , Johannes Fischer , Inge Li Gørtz , Max Rishøj Pedersen , Tord Joakim Stordalen

A simple linear-time algorithm for constructing a linear context-free tree grammar of size O(rg + r g log (n/r g))for a given input tree T of size n is presented, where g is the size of a minimal linear context-free tree grammar for T, and…

Data Structures and Algorithms · Computer Science 2018-10-09 Artur Jeż , Markus Lohrey

Dense word embeddings, which encode semantic meanings of words to low dimensional vector spaces have become very popular in natural language processing (NLP) research due to their state-of-the-art performances in many NLP tasks. Word…

Computation and Language · Computer Science 2018-07-20 Lutfi Kerem Senel , Ihsan Utlu , Veysel Yucesoy , Aykut Koc , Tolga Cukur

Although sequence-to-sequence models often achieve good performance in semantic parsing for i.i.d. data, their performance is still inferior in compositional generalization. Several data augmentation methods have been proposed to alleviate…

Computation and Language · Computer Science 2022-05-04 Jingfeng Yang , Le Zhang , Diyi Yang

In this work, we focus on a lightweight convolutional architecture that creates fixed-size vector embeddings of sentences. Such representations are useful for building NLP systems, including conversational agents. Our work derives from a…

Computation and Language · Computer Science 2018-08-06 Szymon Malik , Adrian Lancucki , Jan Chorowski

Series-parallel (SP) graphs are binary edge-labeled graphs with a designated source and target vertex, built using serial and parallel composition. A set of graphs is recognizable if membership depends only on its image under a homomorphism…

Formal Languages and Automata Theory · Computer Science 2026-04-28 Marius Bozga , Radu Iosif , Florian Zuleger

We present an algorithm for searching regular expression matches in compressed text. The algorithm reports the number of matching lines in the uncompressed text in time linear in the size of its compressed version. We define efficient data…

Formal Languages and Automata Theory · Computer Science 2019-01-17 Pierre Ganty , Pedro Valero

We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with high probability and for the remaining queries, the decoder…

Data Structures and Algorithms · Computer Science 2010-01-27 Victor Chen , Elena Grigorescu , Ronald de Wolf