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Nowadays data compressors are applied to many problems of text analysis, but many such applications are developed outside of the framework of mathematical statistics. In this paper we overcome this obstacle and show how several methods of…

Information Theory · Computer Science 2017-01-17 Boris Ryabko , Andrey Guskov , Irina Selivanova

To alleviate the problem of information explosion, recommender systems are widely deployed to provide personalized information filtering services. Usually, embedding tables are employed in recommender systems to transform high-dimensional…

Information Retrieval · Computer Science 2024-08-07 Shiwei Li , Huifeng Guo , Xing Tang , Ruiming Tang , Lu Hou , Ruixuan Li , Rui Zhang

XML simplifies data exchange among heterogeneous computers, but it is notoriously verbose and has spawned the development of many XML-specific compressors and binary formats. We present an XML test corpus and a combined efficiency metric…

We present a compressed representation of tries based on top tree compression [ICALP 2013] that works on a standard, comparison-based, pointer machine model of computation and supports efficient prefix search queries. Namely, we show how to…

Data Structures and Algorithms · Computer Science 2019-09-23 Philip Bille , Inge Li Gørtz , Paweł Gawrychowski , Gad M. Landau , Oren Weimann

We describe the first self-indexes able to count and locate pattern occurrences in optimal time within a space bounded by the size of the most popular dictionary compressors. To achieve this result we combine several recent findings,…

Data Structures and Algorithms · Computer Science 2019-09-06 Anders Roy Christiansen , Mikko Berggren Ettienne , Tomasz Kociumaka , Gonzalo Navarro , Nicola Prezza

In the past few years, lossy compression has been widely applied in the field of wireless sensor networks (WSN), where energy efficiency is a crucial concern due to the constrained nature of the transmission devices. Often, the common…

Networking and Internet Architecture · Computer Science 2012-06-12 Davide Zordan , Borja Martinez , Ignasi Vilajosana , Michele Rossi

Reliable identification of encrypted file fragments is a requirement for several security applications, including ransomware detection, digital forensics, and traffic analysis. A popular approach consists of estimating high entropy as a…

Cryptography and Security · Computer Science 2020-10-16 Fabio De Gaspari , Dorjan Hitaj , Giulio Pagnotta , Lorenzo De Carli , Luigi V. Mancini

We study data structures in the presence of adversarial noise. We want to encode a given object in a succinct data structure that enables us to efficiently answer specific queries about the object, even if the data structure has been…

Data Structures and Algorithms · Computer Science 2008-12-01 Ronald de Wolf

Sequential data is being generated at an unprecedented pace in various forms, including text and genomic data. This creates the need for efficient compression mechanisms to enable better storage, transmission and processing of such data. To…

Computation and Language · Computer Science 2018-11-21 Mohit Goyal , Kedar Tatwawadi , Shubham Chandak , Idoia Ochoa

The field of compressed sensing has shown that a sparse but otherwise arbitrary vector can be recovered exactly from a small number of randomly constructed linear projections (or samples). The question addressed in this paper is whether an…

Information Theory · Computer Science 2010-01-26 Galen Reeves , Michael Gastpar

Compressed Sensing decoding algorithms can efficiently recover an N dimensional real-valued vector x to within a factor of its best k-term approximation by taking m = 2klog(N/k) measurements y = Phi x. If the sparsity or approximate…

Numerical Analysis · Mathematics 2008-12-09 Rachel Ward

Compressed sensing is now established as an effective method for dimension reduction when the underlying signals are sparse or compressible with respect to some suitable basis or frame. One important, yet under-addressed problem regarding…

Information Theory · Computer Science 2016-04-05 Rayan Saab , Rongrong Wang , Ozgur Yilmaz

The number of IoT devices is expected to continue its dramatic growth in the coming years and, with it, a growth in the amount of data to be transmitted, processed and stored. Compression techniques that support analytics directly on the…

Data Structures and Algorithms · Computer Science 2023-08-29 Francesco Taurone , Daniel E. Lucani , Marcell Fehér , Qi Zhang

In the worst-case distributed source coding (DSC) problem of [1], the smaller cardinality of the support-set describing the correlation in informant data, may neither imply that fewer informant bits are required nor that fewer informants…

Information Theory · Computer Science 2009-07-13 Samar Agnihotri , Rajesh Venkatachalapathy

Modern RDBMSs support the ability to compress data using methods such as null suppression and dictionary encoding. Data compression offers the promise of significantly reducing storage requirements and improving I/O performance for decision…

Databases · Computer Science 2011-09-06 Hideaki Kimura , Vivek Narasayya , Manoj Syamala

Numerical climate model simulations run at high spatial and temporal resolutions generate massive quantities of data. As our computing capabilities continue to increase, storing all of the data is not sustainable, and thus it is important…

Methodology · Statistics 2018-02-20 Joseph Guinness , Dorit Hammerling

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

Machine Learning · Computer Science 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

Information Theory · Computer Science 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

Suppose that a quantum source is known to have von Neumann entropy less than or equal to S but is otherwise completely unspecified. We describe a method of universal quantum data compression which will faithfully compress the quantum…

Quantum Physics · Physics 2009-10-31 Richard Jozsa , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

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
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