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We consider the problem of transmission of several distributed correlated sources over a multiple access channel (MAC) with side information at the sources and the decoder. Source-channel separation does not hold for this channel.…

Information Theory · Computer Science 2016-11-15 R. Rajesh , Vinod Sharma , V. K. Varshenya

Dataset Condensation (DC) aims to reduce deep neural networks training efforts by synthesizing a small dataset such that it will be as effective as the original large dataset. Conventionally, DC relies on a costly bi-level optimization…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Sahar Rahimi Malakshan , Mohammad Saeed Ebrahimi Saadabadi , Ali Dabouei , Nasser M. Nasrabadi

A central issue of distributed computing systems is how to optimally allocate computing and storage resources and design data shuffling strategies such that the total execution time for computing and data shuffling is minimized. This is…

Information Theory · Computer Science 2021-02-03 Shu-Jie Cao , Lihui Yi , Haoning Chen , Youlong Wu

This paper considers the problem of lossy compression for the computation of a function of two correlated sources, both of which are observed at the encoder. Due to presence of observation costs, the encoder is allowed to observe only…

Information Theory · Computer Science 2013-07-22 Xi Liu , Osvaldo Simeone , Elza Erkip

Distributed Video Coding (DVC) is a new coding paradigm for video compression, based on Slepian- Wolf (lossless coding) and Wyner-Ziv (lossy coding) information theoretic results. DVC is useful for emerging applications such as wireless…

Multimedia · Computer Science 2011-03-25 Vijay Kumar Kodavalla , Dr. P. G. Krishna Mohan

Our work addresses the well-known open problem of distributed computing of bilinear functions of two correlated sources ${\bf A}$ and ${\bf B}$. In a setting with two nodes, with the first node having access to ${\bf A}$ and the second to…

Information Theory · Computer Science 2026-05-12 Derya Malak

Using a mild variant of polar codes we design linear compression schemes compressing Hidden Markov sources (where the source is a Markov chain, but whose state is not necessarily observable from its output), and to decode from Hidden Markov…

Information Theory · Computer Science 2018-10-05 Venkatesan Guruswami , Preetum Nakkiran , Madhu Sudan

We propose a computationally and statistically efficient divide-and-conquer (DAC) algorithm to fit sparse Cox regression to massive datasets where the sample size $n_0$ is exceedingly large and the covariate dimension $p$ is not small but…

Computation · Statistics 2018-04-04 Yan Wang , Nathan Palmer , Qian Di , Joel Schwartz , Isaac Kohane , Tianxi Cai

This paper examines the theory pertaining to lossless compression of correlated sources located at the edge of a network. Importantly, communication between nodes is prohibited. In particular, a method that combines correlated source coding…

Information Theory · Computer Science 2020-03-25 Benjamin Rosen , Shane House , Shamin Achari , Ling Cheng

We consider the problem of transmission of several distributed sources over a multiple access channel (MAC) with side information at the sources and the decoder. Source-channel separation does not hold for this channel. Sufficient…

Information Theory · Computer Science 2008-03-11 R. Rajesh , Vinod Sharma

We analyze the dispersions of distributed lossless source coding (the Slepian-Wolf problem), the multiple-access channel and the asymmetric broadcast channel. For the two-encoder Slepian-Wolf problem, we introduce a quantity known as the…

Information Theory · Computer Science 2014-01-23 Vincent Y. F. Tan , Oliver Kosut

A distributed lossy compression network with $L$ encoders and a decoder is considered. Each encoder observes a source and sends a compressed version to the decoder. The decoder produces a joint reconstruction of target signals with the mean…

Information Theory · Computer Science 2022-06-06 Siyao Zhou , Sadaf Salehkalaibar , Jingjing Qian , Jun Chen , Wuxian Shi , Yiqun Ge , Wen Tong

We consider the distributed compression of Soft Random Geometric Graphs (SRGGs) above the connectivity threshold. We establish the Slepian-Wolf rate region for the SRGG in the setting where there are a finite number of encoders compressing…

Information Theory · Computer Science 2026-05-07 Oliver Baker , Carl P. Dettmann

This paper explores the multi-access distributed computing (MADC) model, a novel distributed computing framework where mapper and reducer nodes are distinct entities. Unlike traditional MapReduce frameworks, MADC leverages coding-theoretic…

Information Theory · Computer Science 2025-08-08 Shanuja Sasi , Onur Günlü

Recent years have seen renewed attention to arithmetic coding (AC). This is thanks to the use of AC for distribution matching (DM) to control the channel input distribution in probabilistic amplitude shaping. There are two main problems…

Information Theory · Computer Science 2022-08-15 Yunus Can Gültekin , Frans M. J. Willems , Alex Alvarado

We devise achievable encoding schemes for distributed source compression for computing inner products, symmetric matrix products, and more generally, square matrix products, which are a class of nonlinear transformations. To that end, our…

Information Theory · Computer Science 2024-05-21 Derya Malak

This paper considers a compressed-coding scheme that combines compressed sensing with forward error control coding. Approximate message passing (AMP) is used to decode the message. Based on the state evolution analysis of AMP, we derive the…

Information Theory · Computer Science 2024-10-30 Shansuo Liang , Chulong Liang , Junjie Ma , Li Ping

As the use of Internet of Things (IoT) devices for monitoring purposes becomes ubiquitous, the efficiency of sensor communication is a major issue for the modern Internet. Channel coding is less efficient for extremely short packets, and…

Networking and Internet Architecture · Computer Science 2021-01-21 Siddharth Chandak , Federico Chiariotti , Petar Popovski

With the recent burst of 2D and 3D data, cross-modal retrieval has attracted increasing attention recently. However, manual labeling by non-experts will inevitably introduce corrupted annotations given ambiguous 2D/3D content. Though…

Computer Vision and Pattern Recognition · Computer Science 2024-09-30 Chaofan Gan , Yuanpeng Tu , Yuxi Li , Weiyao Lin

Linear computation coding is concerned with the compression of multidimensional linear functions, i.e. with reducing the computational effort of multiplying an arbitrary vector to an arbitrary, but known, constant matrix. This paper…

Information Theory · Computer Science 2025-07-02 Hans Rosenberger , Johanna S. Fröhlich , Ali Bereyhi , Ralf R. Müller