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The source-coding problem with side information at the decoder is studied subject to a constraint that the encoder---to whom the side information is unavailable---be able to compute the decoder's reconstruction sequence to within some…

Information Theory · Computer Science 2016-11-15 Amos Lapidoth , Andreas Malär , Michèle Wigger

We present a superposition coding scheme for communication over a network, which combines partial decode and forward and noisy network coding. This hybrid scheme is termed as superposition noisy network coding. The scheme is designed and…

Information Theory · Computer Science 2011-02-24 Neevan Ramalingam , Zhengdao Wang

A novel framework of compressed sensing, namely statistical compressed sensing (SCS), that aims at efficiently sampling a collection of signals that follow a statistical distribution, and achieving accurate reconstruction on average, is…

Computer Vision and Pattern Recognition · Computer Science 2015-05-27 Guoshen Yu , Guillermo Sapiro

Consensus is a common method for computing a function of the data distributed among the nodes of a network. Of particular interest is distributed average consensus, whereby the nodes iteratively compute the sample average of the data stored…

Information Theory · Computer Science 2021-12-06 Ryan Pilgrim

We deal with zero-delay source coding of a vector-valued Gauss-Markov source subject to a mean-squared error (MSE) fidelity criterion characterized by the operational zero-delay vector-valued Gaussian rate distortion function (RDF). We…

Information Theory · Computer Science 2018-10-02 Photios A. Stavrou , Jan Ostergaard , Charalambos D. Charalambous

Dataset Condensation (DC) aims to obtain a condensed dataset that allows models trained on the condensed dataset to achieve performance comparable to those trained on the full dataset. Recent DC approaches increasingly focus on encoding…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Bowen Yuan , Yuxia Fu , Zijian Wang , Yadan Luo , Zi Huang

This paper addresses optimal decoding strategies in lossy compression where the assumed distribution for compressor design mismatches the actual (true) distribution of the source. This problem has immediate relevance in standardized…

Information Theory · Computer Science 2026-02-04 Saeed R. Khosravirad , Ahmed Alkhateeb , Ingrid van de Voorde

The distortion-rate function of output-constrained lossy source coding with limited common randomness is analyzed for the special case of squared error distortion measure. An explicit expression is obtained when both source and…

Information Theory · Computer Science 2024-03-25 Li Xie , Liangyan Li , Jun Chen , Zhongshan Zhang

Compressed sensing (CS) is about recovering a structured signal from its under-determined linear measurements. Starting from sparsity, recovery methods have steadily moved towards more complex structures. Emerging machine learning tools…

Information Theory · Computer Science 2019-12-18 Pei Peng , Shirin Jalali , Xin Yuan

We analyze the continuous variable (CV) dense coding protocol between a single sender and a single receiver when affected by noise in the shared and encoded states as well as when the decoding is imperfect. We derive a general formalism for…

Quantum Physics · Physics 2024-07-11 Mrinmoy Samanta , Ayan Patra , Rivu Gupta , Aditi Sen De

We study the use of very sparse random projections for compressed sensing (sparse signal recovery) when the signal entries can be either positive or negative. In our setting, the entries of a Gaussian design matrix are randomly sparsified…

Methodology · Statistics 2014-08-12 Ping Li , Cun-Hui Zhang

The paper provides a new perspective on peak- and average-constrained Gaussian channels. Such channels model optical wireless communication (OWC) systems which employ intensity-modulation with direct detection (IM/DD). First, the paper…

Information Theory · Computer Science 2023-03-20 Sarah Bahanshal , Ahmad Abdel-Qader , Anas Chaaban

This paper studies cross-domain lossy compression through the lens of minimum entropy coupling (MEC) with rate and classification constraints. In this setting, an encoder observes samples from a degraded source domain, while the decoder is…

Information Theory · Computer Science 2026-05-12 Nam Nguyen , Hassan Tavakoli , An Vuong , Thinh Nguyen , Bella Bose

Compressed sensing deals with the reconstruction of sparse signals using a small number of linear measurements. One of the main challenges in compressed sensing is to find the support of a sparse signal. In the literature, several bounds on…

Information Theory · Computer Science 2009-11-26 Ali Hormati , Amin Karbasi , Soheil Mohajer , Martin Vetterli

In its most elementary form, compressed sensing studies the design of decoding algorithms to recover a sufficiently sparse vector or code from a lower dimensional linear measurement vector. Typically it is assumed that the decoder has…

Machine Learning · Computer Science 2021-07-20 Michael Murray , Jared Tanner

In this paper, we propose a lattice-based robust distributed source coding system for two correlated sources and provide a detailed performance analysis under the high resolution assumption. It is shown, among other things, that, in the…

Information Theory · Computer Science 2018-10-04 Dania Elzouki , Sorina Dumitrescu , Jun Chen

The volume of remote sensing data is experiencing rapid growth, primarily due to the plethora of space and air platforms equipped with an array of sensors. Due to limited hardware and battery constraints the data is transmitted back to…

Image and Video Processing · Electrical Eng. & Systems 2024-04-18 Alessandro Giuliano , S. Andrew Gadsden , Waleed Hilal , John Yawney

Inspired by mobile satellite communication systems and the important and prevalent applications of computational tasks, we consider a distributed source coding model for compressing vector-linear functions, which consists of multiple…

Information Theory · Computer Science 2025-08-06 Xuan Guang , Xiufang Sun , Ruze Zhang

This paper studies a particular sensor network model which involves one single Gaussian source observed by many sensors, subject to additive independent Gaussian observation noise. Sensors communicate with the receiver over an additive…

Information Theory · Computer Science 2013-05-20 Emrah Akyol , Kenneth Rose , Tamer Basar

Decoding remote sensing images to achieve high perceptual quality, particularly at low bitrates, remains a significant challenge. To address this problem, we propose the invertible neural network-based remote sensing image compression…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Junhui Li , Xingsong Hou
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