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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

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

In this paper will be presented new approach to entropy coding: family of generalizations of standard numeral systems which are optimal for encoding sequence of equiprobable symbols, into asymmetric numeral systems - optimal for freely…

Information Theory · Computer Science 2009-05-21 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

Many data compressors regularly encode probability distributions for entropy coding - requiring minimal description length type of optimizations. Canonical prefix/Huffman coding usually just writes lengths of bit sequences, this way…

Information Theory · Computer Science 2022-07-05 Jarek Duda

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 proposes a new lossless data compression coding scheme named an asymmetric encoding-decoding scheme (AEDS), which can be considered as a generalization of tANS (tabled variant of asymmetric numeral systems). In the AEDS, a data…

Information Theory · Computer Science 2026-01-26 Hirosuke Yamamoto , Ken-ichi Iwata

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

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

This paper proposes a novel entropy encoding technique for lossless data compression. Representing a message string by its lexicographic index in the permutations of its symbols results in a compressed version matching Shannon entropy of…

Information Theory · Computer Science 2017-03-24 Abu Bakar Siddique

Asymmetric Numeral Systems (ANS) is a class of entropy encoders that had an immense impact on the data compression, substituting arithmetic and Huffman coding. It was studied by different authors but the precise asymptotics of its…

Information Theory · Computer Science 2026-02-04 Dmitry Kosolobov

There is a class of entropy-coding methods which do not substitute symbols by code words (such as Huffman coding), but operate on intervals or ranges. This class includes three prominent members: conventional arithmetic coding, range…

Information Theory · Computer Science 2025-07-04 Tilo Strutz , Nico Schreiber

Compression is a technique to reduce the quantity of data without excessively reducing the quality of the multimedia data. The transition and storing of compressed multimedia data is much faster and more efficient than original uncompressed…

Information Theory · Computer Science 2011-09-02 Asadollah Shahbahrami , Ramin Bahrampour , Mobin Sabbaghi Rostami , Mostafa Ayoubi Mobarhan

An abstract numeration system (ANS) is a numeration system that provides a one-to-one correspondence between the natural numbers and a regular language. In this paper, we define an ANS-based compression as an extension of this…

Formal Languages and Automata Theory · Computer Science 2013-09-24 Ryoma Sin'ya

Reversible data hiding (RDH) has been extensively studied in the field of information security. In our previous work [1], an explicit implementation approaching the rate-distortion bound of RDH has been proposed. However, there are two…

Information Theory · Computer Science 2023-07-18 Na Wang , Chuan Qin , Sian-Jheng Lin

Data centers handle vast volumes of data that require efficient lossless compression, yet emerging probabilistic models based methods are often computationally slow. To address this, we introduce RAS, the Range Asymmetric Numeral System…

Hardware Architecture · Computer Science 2025-11-10 Yuchao Qin , Anjunyi Fan , Bonan Yan

This paper proposes a novel model of the two-level scalar quantizer with extended Huffman coding. It is designed for the average bit rate to approach the source entropy as close as possible provided that the signal to quantization noise…

Information Theory · Computer Science 2012-12-21 Zoran Peric , Jelena Nikolic , Lazar Velimirovic , Miomir Stankovic , Danijela Aleksic

The transmission or storage of signals typically involves data compression. The final processing step in compression systems is generally an entropy coding stage, which converts symbols into a bit stream based on their probability…

Information Theory · Computer Science 2026-01-13 Tilo Strutz , Roman Rischke

Recently, arithmetic coding has attracted the attention of many scholars because of its high compression capability. Accordingly, in this paper a method which adds secrecy to this well-known source code is proposed. Finite state arithmetic…

Cryptography and Security · Computer Science 2012-06-06 Hashem Moradmand Ziyabar , Mahnaz Sinaie , Ali Payandeh , Vahid Tabataba Vakili

We study the following one-way asymmetric transmission problem, also a variant of model-based compressed sensing: a resource-limited encoder has to report a small set $S$ from a universe of $N$ items to a more powerful decoder (server). The…

Data Structures and Algorithms · Computer Science 2018-07-30 Alexandr Andoni , Javad Ghaderi , Daniel Hsu , Dan Rubenstein , Omri Weinstein
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