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The problem of secure source coding with multiple terminals is extended by considering a remote source whose noisy measurements are the correlated random variables used for secure source reconstruction. The main additions to the problem…

Information Theory · Computer Science 2022-11-10 Onur Günlü , Rafael F. Schaefer , Holger Boche , H. Vincent Poor

The deployment of Large Language Models (LLMs) in long-context scenarios is hindered by computational inefficiency and significant information redundancy. Although recent advancements have widely adopted context compression to address these…

Computation and Language · Computer Science 2026-02-03 Kangtao Lv , Jiwei Tang , Langming Liu , Haibin Chen , Weidong Zhang , Shilei Liu , Yongwei Wang , Yujin Yuan , Wenbo Su , Bo Zheng

We propose a novel joint lossy image and residual compression framework for learning $\ell_\infty$-constrained near-lossless image compression. Specifically, we obtain a lossy reconstruction of the raw image through lossy image compression…

Image and Video Processing · Electrical Eng. & Systems 2021-04-01 Yuanchao Bai , Xianming Liu , Wangmeng Zuo , Yaowei Wang , Xiangyang Ji

We study error exponents for source coding with side information. Both achievable exponents and converse bounds are obtained for the following two cases: lossless source coding with coded information (SCCSI) and lossy source coding with…

Information Theory · Computer Science 2015-03-19 Benjamin G. Kelly , Aaron B. Wagner

We introduce a protocol called ENCORE which simultaneously compresses and encrypts data in a one-pass process that can be implemented efficiently and possesses a number of desirable features as a streaming encoder/decoder. Motivated by the…

Cryptography and Security · Computer Science 2025-01-28 Joshua Cooper , Grant Fickes

This paper studies the minimum achievable source coding rate as a function of blocklength $n$ and probability $\epsilon$ that the distortion exceeds a given level $d$. Tight general achievability and converse bounds are derived that hold at…

Information Theory · Computer Science 2016-11-15 Victoria Kostina , Sergio Verdú

The problem of the universal compression of a sequence from a library of several small to moderate length sequences from similar context arises in many practical scenarios, such as the compression of the storage data and the Internet…

Information Theory · Computer Science 2015-03-20 Ahmad Beirami , Faramarz Fekri

The problem of joint universal source coding and identification is considered in the setting of fixed-rate lossy coding of continuous-alphabet memoryless sources. For a wide class of bounded distortion measures, it is shown that any…

Information Theory · Computer Science 2007-07-13 Maxim Raginsky

In this paper, we consider a class of multiterminal source coding problems, each subject to distortion constraints computed using a specific, entropy-based, distortion measure. We provide the achievable rate distortion region for two cases…

Information Theory · Computer Science 2011-06-02 Thomas Courtade , Richard Wesel

The relay channel, consisting of a source-destination pair and a relay, is a fundamental component of cooperative communications. While the capacity of a general relay channel remains unknown, various relaying strategies, including…

Information Theory · Computer Science 2024-04-24 Ezgi Ozyilkan , Fabrizio Carpi , Siddharth Garg , Elza Erkip

We study a generalized version of Wyner's common information problem (also coined the distributed source simulation problem). The original common information problem consists in understanding the minimum rate of the common input to…

Information Theory · Computer Science 2019-12-04 Lei Yu , Vincent Y. F. Tan

We provide a rate distortion interpretation of the problem of quantum data compression of ensembles of mixed states with commuting density operators. There are two versions of this problem. In the visible case the sequence of states is…

Quantum Physics · Physics 2007-05-23 Gerhard Kramer , Serap A. Savari

This paper considers the problem of variable-length lossy source coding. The performance criteria are the excess distortion probability and the cumulant generating function of codeword lengths. We derive a non-asymptotic fundamental limit…

Information Theory · Computer Science 2023-12-29 Shota Saito , Toshiyasu Matsushima

The classical Gray and Wyner source coding for a simple network for sources that generate a tuple of multivariate, correlated Gaussian random variables $(Y_1,Y_2)$ is re-examined using the geometric approach of Gaussian random variables,…

Information Theory · Computer Science 2021-02-16 Charalambos D. Charalambous , Jan H. van Schuppen

In this paper, we study the use of GF(q)-quantized LDGM codes for binary source coding. By employing quantization, it is possible to obtain binary codewords with a non-uniform distribution. The obtained statistics is hence suitable for…

Information Theory · Computer Science 2010-07-09 Lorenzo Cappellari

Compression refers to encoding data using bits, so that the representation uses as few bits as possible. Compression could be lossless: i.e. encoded data can be recovered exactly from its representation) or lossy where the data is…

Information Theory · Computer Science 2012-10-19 Narayana Santhanam , Dharmendra Modha

Wu and Verd\'u developed a theory of almost lossless analog compression, where one imposes various regularity conditions on the compressor and the decompressor with the input signal being modelled by a (typically infinite-entropy)…

Dynamical Systems · Mathematics 2022-12-29 Yonatan Gutman , Adam Śpiewak

Error-controlled lossy compression has been studied for years because of extremely large volumes of data being produced by today's scientific simulations. None of existing lossy compressors, however, allow users to fix the peak…

Information Theory · Computer Science 2018-07-17 Dingwen Tao , Sheng Di , Xin Liang , Zizhong Chen , Franck Cappello

Motivated from the fact that universal source coding on countably infinite alphabets is not feasible, this work introduces the notion of almost lossless source coding. Analog to the weak variable-length source coding problem studied by Han…

Information Theory · Computer Science 2021-11-30 Jorge F. Silva , Pablo Piantanida

Wyner's common information was originally defined for a pair of dependent discrete random variables. Its significance is largely reflected in, hence also confined to, several existing interpretations in various source coding problems. This…

Information Theory · Computer Science 2013-01-11 Ge Xu , Wei Liu , Biao Chen
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