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Compression based on asymmetric numeral systems (ANS) combines high encoding and decoding speeds with a compression ratio close to Shannon entropy, while forward modeling of the information source makes it possible to obtain an estimated…

Information Theory · Computer Science 2026-05-21 Mykyta Kharin , Igor Zavadskyi

This paper is intended to be a brief and accessible introduction to the range variant of asymmetric numeral systems (ANS), a system for lossless compression of sequences which can be used as a drop in replacement for arithmetic coding (AC).…

Information Theory · Computer Science 2020-10-08 James Townsend

Asymmetric Numeral Systems (ANS) proposed by Jarek Duda are high-performance distortionless data compression schemes that can achieve almost the same compression performance as arithmetic codes with less arithmetic operations than…

Information Theory · Computer Science 2024-08-15 Hirosuke Yamamoto , Ken-ichi Iwata

The modern data compression is mainly based on two approaches to entropy coding: Huffman (HC) and arithmetic/range coding (AC). The former is much faster, but approximates probabilities with powers of 2, usually leading to relatively low…

Information Theory · Computer Science 2014-01-07 Jarek Duda

Entropy coding is the backbone data compression. Novel machine-learning based compression methods often use a new entropy coder called Asymmetric Numeral Systems (ANS) [Duda et al., 2015], which provides very close to optimal bitrates and…

Machine Learning · Statistics 2022-01-11 Robert Bamler

Compression also known as entropy coding has a rich and long history. However, a recent explosion of multimedia Internet applications (such as teleconferencing and video streaming for instance) renews an interest in fast compression that…

Information Theory · Computer Science 2023-05-10 Josef Pieprzyk , Jarek Duda , Marcin Pawlowski , Seyit Camtepe , Arash Mahboubi , Pawel Morawiecki

The Average Common Substring (ACS) is a popular alignment-free distance measure for phylogeny reconstruction. The ACS can be computed in O(n) space and time, where n=x+y is the input size. The compressed string matching is the study of…

Data Structures and Algorithms · Computer Science 2018-05-17 Sahar Hooshmand , Neda Tavakoli , Paniz Abedin , Sharma V. Thankachan

A set of integers is $S$-recognizable in an abstract numeration system $S$ if the language made up of the representations of its elements is accepted by a finite automaton. For abstract numeration systems built over bounded languages with…

Discrete Mathematics · Computer Science 2008-09-16 Emilie Charlier , Michel Rigo , Wolfgang Steiner

Data compression combined with effective encryption is a common requirement of data storage and transmission. Low cost of these operations is often a high priority in order to increase transmission speed and reduce power usage. This…

Information Theory · Computer Science 2023-03-24 Jarek Duda , Marcin Niemiec

Grammar based compression, where one replaces a long string by a small context-free grammar that generates the string, is a simple and powerful paradigm that captures many popular compression schemes. In this paper, we present a novel…

Data Structures and Algorithms · Computer Science 2013-10-30 Philip Bille , Gad M. Landau , Rajeev Raman , Kunihiko Sadakane , Srinivasa Rao Satti , Oren Weimann

In essence, the two tagging methods (direct tagging and tagging with sentences compression) are to tag the information we need by using regular expression which basing on the inherent language patterns of the natural language. Though it has…

Computation and Language · Computer Science 2018-10-08 Peihui Chen

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

Machine Learning · Computer Science 2025-09-16 Shane Stevenson , Maryam Sabagh

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

Automated Text Scoring (ATS) provides a cost-effective and consistent alternative to human marking. However, in order to achieve good performance, the predictive features of the system need to be manually engineered by human experts. We…

Computation and Language · Computer Science 2017-07-18 Dimitrios Alikaniotis , Helen Yannakoudakis , Marek Rei

We present a self-contained system for constructing natural language models for use in text compression. Our system improves upon previous neural network based models by utilizing recent advances in syntactic parsing -- Google's SyntaxNet…

Machine Learning · Computer Science 2016-08-30 David Cox

The huge amount of information stored in text form makes methods that deal with texts really interesting. This thesis focuses on dealing with texts using compression distances. More specifically, the thesis takes a small step towards…

Information Theory · Computer Science 2012-05-30 Ana Granados

The substantial growth of textual content in diverse domains and platforms has led to a considerable need for Automatic Text Summarization (ATS) techniques that aid in the process of text analysis. The effectiveness of text summarization…

Computation and Language · Computer Science 2025-03-03 Nevidu Jayatilleke , Ruvan Weerasinghe , Nipuna Senanayake

Transformer-based Large Language Models (LLMs) often impose limitations on the length of the text input to ensure the generation of fluent and relevant responses. This constraint restricts their applicability in scenarios involving long…

Computation and Language · Computer Science 2023-12-18 Weizhi Fei , Xueyan Niu , Pingyi Zhou , Lu Hou , Bo Bai , Lei Deng , Wei Han

Text mining is about looking for patterns in natural language text, and may be defined as the process of analyzing text to extract information from it for particular purposes. In previous work, we claimed that compression is a key…

Digital Libraries · Computer Science 2007-05-23 Stuart Yeates , David Bainbridge , Ian H. Witten

In the present paper we formally define the notion of abstract program slicing, a general form of program slicing where properties of data are considered instead of their exact value. This approach is applied to a language with numeric and…

Logic in Computer Science · Computer Science 2016-05-20 Isabella Mastroeni , Damiano Zanardini
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