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Iterative decoding was not originally introduced as the solution to an optimization problem rendering the analysis of its convergence very difficult. In this paper, we investigate the link between iterative decoding and classical…

Information Theory · Computer Science 2010-01-13 Florence Alberge , Ziad Naja , P. Duhamel

Computationally intensive distributed and parallel computing is often bottlenecked by a small set of slow workers known as stragglers. In this paper, we utilize the emerging idea of "coded computation" to design a novel…

Information Theory · Computer Science 2017-06-06 Yaoqing Yang , Pulkit Grover , Soummya Kar

We address the nonlinear inverse source problem of identifying a time-dependent source occurring in one node of a network governed by a wave equation. We prove that time records of the associated state taken at a strategic set of two nodes…

Optimization and Control · Mathematics 2019-05-22 J. G. Caputo , A. Hamdi , A. Knippel

The study of the fundamental limits of information systems is a central theme in information theory. Both the traditional analytical approach and the recently proposed computational approach have significant limitations, where the former is…

Information Theory · Computer Science 2022-05-04 Wenjing Chen , Chao Tian

We consider compressive sensing as a source coding method for signal transmission. We concatenate a convolutional coding system with 1-bit compressive sensing to obtain a serial concatenated system model for sparse signal transmission over…

Information Theory · Computer Science 2014-03-14 Amin Movahed , Mark C. Reed

This paper investigates a joint source-channel secrecy problem for the Shannon cipher broadcast system. We suppose list secrecy is applied, i.e., a wiretapper is allowed to produce a list of reconstruction sequences and the secrecy is…

Information Theory · Computer Science 2017-07-25 Lei Yu , Houqiang Li , Weiping Li

We study the effects of introducing a feedback channel in the erasure source-broadcast problem for the case of three receivers. In our problem formulation, we wish to transmit a binary source to three users over the erasure broadcast…

Information Theory · Computer Science 2021-05-04 Louis Tan , Kaveh Mahdaviani , Ashish Khisti Member

Consider the following communication scenario. An encoder observes a stochastic process and causally decides when and what to transmit about it, under a constraint on the expected number of bits transmitted per second. A decoder uses the…

Information Theory · Computer Science 2021-09-22 Nian Guo , Victoria Kostina

We consider a worst-case asymmetric distributed source coding problem where an information sink communicates with $N$ correlated information sources to gather their data. A data-vector $\bar{x} = (x_1, ..., x_N) \sim {\mathcal P}$ is…

Information Theory · Computer Science 2013-01-03 Samar Agnihotri , Rajesh Venkatachalapathy

In this paper, we propose an iterative source error correction (ISEC) decoding scheme for deep-learning-based joint source-channel coding (Deep JSCC). Given a noisy codeword received through the channel, we use a Deep JSCC encoder and…

Machine Learning · Computer Science 2023-02-21 Changwoo Lee , Xiao Hu , Hun-Seok Kim

We investigate whether uncoded schemes are optimal for Gaussian sources on multiuser Gaussian channels. Particularly, we consider two problems: the first is to send correlated Gaussian sources on a Gaussian broadcast channel where each…

Information Theory · Computer Science 2017-03-02 Chao Tian , Jun Chen , Suhas Diggavi , Shlomo Shamai

The design of codes for communicating reliably over a statistically well defined channel is an important endeavor involving deep mathematical research and wide-ranging practical applications. In this work, we present the first family of…

Machine Learning · Computer Science 2018-07-03 Hyeji Kim , Yihan Jiang , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

This work investigates both direct and inverse problems of the variable-exponent sub-diffusion model, which attracts increasing attentions in both practical applications and theoretical aspects. Based on the perturbation method, which…

Numerical Analysis · Mathematics 2025-01-31 Zhiyuan Li , Chunlong Sun , Xiangcheng Zheng

Channel coding aims to minimize errors that occur during the transmission of digital information from one place to another. Low-density parity-check (LDPC) codes can detect and correct transmission errors if one encodes the original…

Information Theory · Computer Science 2018-03-14 Banu Kabakulak , Z. Caner Taşkın , Ali Emre Pusane

This paper presents a brief historical survey of iterative methods for solving linear systems of equations. The journey begins with Gauss who developed the first known method that can be termed iterative. The early 20th century saw good…

History and Overview · Mathematics 2019-08-06 Yousef Saad

A new channel coding approach was proposed in [1] for random multiple access communication over the discrete-time memoryless channel. The coding approach allows users to choose their communication rates independently without sharing the…

Information Theory · Computer Science 2016-11-15 Zheng Wang , Jie Luo

The model of a side information "vending machine" (VM) accounts for scenarios in which the measurement of side information sequences can be controlled via the selection of cost-constrained actions. In this paper, the three-node cascade…

Information Theory · Computer Science 2012-07-13 Behzad Ahmadi , Chiranjib Choudhuri , Osvaldo Simeone , Urbashi Mitra

This paper investigates the problem of zero-delay joint source-channel coding of a vector Gauss-Markov source over a multiple-input multiple-output (MIMO) additive white Gaussian noise (AWGN) channel with feedback. In contrast to the…

Information Theory · Computer Science 2023-10-19 Barron Han , Oron Sabag , Victoria Kostina , Babak Hassibi

Content distribution over networks is often achieved by using mirror sites that hold copies of files or portions thereof to avoid congestion and delay issues arising from excessive demands to a single location. Accordingly, there are…

Information Theory · Computer Science 2016-11-15 Shurui Huang , Aditya Ramamoorthy , Muriel Medard

We propose a strategic formulation for the joint source-channel coding problem in which the encoder and the decoder are endowed with distinct distortion functions. We provide the solutions in four different scenarios. First, we assume that…

Information Theory · Computer Science 2020-10-26 Maël Le Treust , Tristan Tomala
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