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A dictionary is a database of standard vectors, so that other vectors / signals are expressed as linear combinations of dictionary vectors, and the task of learning a dictionary for a given data is to find a good dictionary so that the…

Machine Learning · Computer Science 2020-07-09 Mohammed Rayyan Sheriff , Debasish Chatterjee

This paper describes substantial advances in the analysis (parsing) of diagrams using constraint grammars. The addition of set types to the grammar and spatial indexing of the data make it possible to efficiently parse real diagrams of…

cmp-lg · Computer Science 2008-02-03 Robert P. Futrelle , Nikos Nikolakis

String diagrams are an increasingly popular algebraic language for the analysis of graphical models of computations across different research fields. Whereas string diagrams have been thoroughly studied as semantic structures, much less…

Category Theory · Mathematics 2022-11-04 Paul Wilson , Fabio Zanasi

Real-world graphs are massive in size and we need a huge amount of space to store them. Graph compression allows us to compress a graph so that we need a lesser number of bits per link to store it. Of many techniques to compress a graph, a…

Social and Information Networks · Computer Science 2021-05-13 Muhammad Irfan Yousuf , Izza Anwer , Muhammad Abid

Rank and select queries on bitmaps are essential building bricks of many compressed data structures, including text indexes, membership and range supporting spatial data structures, compressed graphs, and more. Theoretically considered yet…

Data Structures and Algorithms · Computer Science 2016-05-13 Szymon Grabowski , Marcin Raniszewski

We report (to our knowledge) the first evaluation of Constraint Satisfaction as a computational framework for solving closest string problems. We show that careful consideration of symbol occurrences can provide search heuristics that…

Artificial Intelligence · Computer Science 2010-05-04 Tom Kelsey , Lars Kotthoff

This article extends the concept of compressed sensing to signals that are not sparse in an orthonormal basis but rather in a redundant dictionary. It is shown that a matrix, which is a composition of a random matrix of certain type and a…

Probability · Mathematics 2010-11-10 Holger Rauhut , Karin Schnass , Pierre Vandergheynst

String matching is the problem of finding all the substrings of a text which match a given pattern. It is one of the most investigated problems in computer science, mainly due to its very diverse applications in several fields. Recently,…

Data Structures and Algorithms · Computer Science 2017-07-04 Domenico Cantone , Simone Faro , Arianna Pavone

Temporal graphs model relationships among entities over time. Recent studies applied temporal graphs to abstract complex systems such as continuous communication among participants of social networks. Often, the amount of data is larger…

Data Structures and Algorithms · Computer Science 2022-04-27 Luiz F. A. Brito , Bruno A. N. Travençolo , Marcelo K. Albertini

More than 80% of today's data is unstructured in nature, and these unstructured datasets evolve over time. A large part of these datasets are text documents generated by media outlets, scholarly articles in digital libraries, findings from…

Computation and Language · Computer Science 2019-03-21 Roberto Camacho Barranco , Raimundo F. Dos Santos , M. Shahriar Hossain

Indexing highly repetitive collections has become a relevant problem with the emergence of large repositories of versioned documents, among other applications. These collections may reach huge sizes, but are formed mostly of documents that…

Information Retrieval · Computer Science 2016-05-25 Francisco Claude , Antonio Fariña , Miguel A. Martínez-Prieto , Gonzalo Navarro

The ability to find short representations, i.e. to compress data, is crucial for many intelligent systems. We present a theory of incremental compression showing that arbitrary data strings, that can be described by a set of features, can…

Information Theory · Computer Science 2020-09-15 Arthur Franz , Oleksandr Antonenko , Roman Soletskyi

Supporting top-k document retrieval queries on general text databases, that is, finding the k documents where a given pattern occurs most frequently, has become a topic of interest with practical applications. While the problem has been…

Data Structures and Algorithms · Computer Science 2011-11-21 Gonzalo Navarro , Daniel Valenzuela

In this paper we exploit concepts of information theory to address the fundamental problem of identifying and defining the most suitable tools to extract, in a automatic and agnostic way, information from a generic string of characters. We…

Statistical Mechanics · Physics 2009-11-10 Andrea Baronchelli , Emanuele Caglioti , Vittorio Loreto

Online string matching is a computational problem involving the search for patterns or substrings in a large text dataset, with the pattern and text being processed sequentially, without prior access to the entire text. Its relevance stems…

Data Structures and Algorithms · Computer Science 2023-10-25 Matthew N. Palmer , Simone Faro , Stefano Scafiti

Grammar-based compression is a widely-accepted model of string compression that allows for efficient and direct manipulations on the compressed data. Most, if not all, such manipulations rely on the primitive \emph{random access} queries, a…

Data Structures and Algorithms · Computer Science 2024-07-12 Alan M. Cleary , Joseph Winjum , Jordan Dood , Shunsuke Inenaga

In this paper, we propose a dictionary screening method for embedding compression in text classification tasks. The key purpose of this method is to evaluate the importance of each keyword in the dictionary. To this end, we first train a…

Computation and Language · Computer Science 2022-11-24 Jing Zhou , Xinru Jing , Muyu Liu , Hansheng Wang

Many techniques in computer vision, machine learning, and statistics rely on the fact that a signal of interest admits a sparse representation over some dictionary. Dictionaries are either available analytically, or can be learned from a…

Computer Vision and Pattern Recognition · Computer Science 2013-03-22 Simon Hawe , Matthias Seibert , Martin Kleinsteuber

Traditionally it had been a problem that researchers did not have access to enough spatial data to answer pressing research questions or build compelling visualizations. Today, however, the problem is often that we have too much data.…

Machine Learning · Computer Science 2018-03-23 Geoff Boeing

The string-matching field has grown at a such complicated stage that various issues come into play when studying it: data structure and algorithmic design, database principles, compression techniques, architectural features, cache and…

Data Structures and Algorithms · Computer Science 2008-01-16 Paolo Ferragina