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The index coding problem is concerned with broadcasting encoded information to a collection of receivers in a way that enables each receiver to discover its required data based on its side information, which comprises the data required by…

Data Structures and Algorithms · Computer Science 2024-08-19 Dror Chawin , Ishay Haviv

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

Variant belief propagation (BP) algorithms are applied to low-density parity-check (LDPC) codes. However, conventional decoders suffer from a large resource consumption due to gathering messages from all the neighbour variable-nodes and/or…

Information Theory · Computer Science 2023-08-24 Wu Guan , Liping Liang

In this paper, a distributed convex optimization algorithm, termed \emph{distributed coordinate dual averaging} (DCDA) algorithm, is proposed. The DCDA algorithm addresses the scenario of a large distributed optimization problem with…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-31 Milind Rao , Stefano Rini , Andrea Goldsmith

New near-capacity continuous-variable quantum key distribution (CV-QKD) reconciliation schemes are proposed, where both the authenticated classical channel (ClC) and the quantum channel (QuC) for QKD are protected by separate forward error…

Quantum Physics · Physics 2024-03-26 Xin Liu , Chao Xu , Yasir Noori , Soon Xin Ng , Lajos Hanzo

Approximate Bayesian computation (ABC) or likelihood-free inference algorithms are used to find approximations to posterior distributions without making explicit use of the likelihood function, depending instead on simulation of sample data…

Computation · Statistics 2015-09-08 Richard D. Wilkinson

It is well known that for Gaussian channels, a nearest neighbor decoding rule, which seeks the minimum Euclidean distance between a codeword and the received channel output vector, is the maximum likelihood solution and hence…

Information Theory · Computer Science 2022-05-09 Yizhu Wang , Wenyi Zhang

The Slepian-Wolf (SW) coding system is a source coding system with two encoders and a decoder, where these encoders independently encode source sequences from two correlated sources into codewords, and the decoder reconstructs both source…

Information Theory · Computer Science 2019-06-10 Tetsunao Matsuta , Tomohiko Uyematsu

This paper revisits the ordered statistics decoding (OSD). It provides a comprehensive analysis of the OSD algorithm by characterizing the statistical properties, evolution and the distribution of the Hamming distance and weighted Hamming…

Information Theory · Computer Science 2021-05-10 Chentao Yue , Mahyar Shirvanimoghaddam , Branka Vucetic , Yonghui Li

Divide and Conquer (DC) is conceptually well suited to high-dimensional optimization by decomposing a problem into multiple small-scale sub-problems. However, appealing performance can be seldom observed when the sub-problems are…

Artificial Intelligence · Computer Science 2018-07-12 Peng Yang , Ke Tang , Xin Yao

Calibrating deep learning models to yield uncertainty-aware predictions is crucial as deep neural networks get increasingly deployed in safety-critical applications. While existing post-hoc calibration methods achieve impressive results on…

Machine Learning · Computer Science 2023-07-06 Christian Tomani , Futa Waseda , Yuesong Shen , Daniel Cremers

Sparse superposition codes were recently introduced by Barron and Joseph for reliable communication over the AWGN channel at rates approaching the channel capacity. The codebook is defined in terms of a Gaussian design matrix, and codewords…

Information Theory · Computer Science 2017-03-14 Cynthia Rush , Adam Greig , Ramji Venkataramanan

Dual descent methods are commonly used to solve network optimization problems because their implementation can be distributed through the network. However, their convergence rates are typically very slow. This paper introduces a family of…

Optimization and Control · Mathematics 2011-04-07 M. Zargham , A. Ribeiro , A. Jadbabaie , A. Ozdaglar

We propose a method for finding a cumulative distribution function (cdf) that minimizes the distance to a given cdf, while belonging to an ambiguity set constructed relative to another cdf and, possibly, incorporating soft information. Our…

Optimization and Control · Mathematics 2024-08-23 Julio Deride , Johannes O. Royset , Fernanda Urrea

Low density lattice codes (LDLC) are a family of lattice codes that can be decoded efficiently using a message-passing algorithm. In the original LDLC decoder, the message exchanged between variable nodes and check nodes are continuous…

Information Theory · Computer Science 2018-06-15 Shuiyin Liu , Yi Hong , Emanuele Viterbo , Alessia Marelli , Rino Micheloni

Many randomized approximation algorithms operate by giving a procedure for simulating a random variable $X$ which has mean $\mu$ equal to the target answer, and a relative standard deviation bounded above by a known constant $c$. Examples…

Computation · Statistics 2019-08-16 Mark Huber

This paper introduces a new counting code. Its design was motivated by distributed video coding where, for decoding, error correction methods are applied to improve predictions. Those error corrections sometimes fail which results in…

Information Theory · Computer Science 2008-02-04 Axel Lakus-Becker , Ka-Ming Leung

In this paper, we consider a strongly convex finite-sum minimization problem over a decentralized network and propose a communication-efficient decentralized Newton's method for solving it. We first apply dynamic average consensus (DAC) so…

Optimization and Control · Mathematics 2022-10-04 Huikang Liu , Jiaojiao Zhang , Anthony Man-Cho So , Qing Ling

The problem addressed concerns the determination of the average number of successive attempts of guessing a word of a certain length consisting of letters with given probabilities of occurrence. Both first- and second-order approximations…

Information Theory · Computer Science 2015-06-19 Kerstin Andersson

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
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