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We consider sparse superposition codes (SPARCs) over complex AWGN channels. Such codes can be efficiently decoded by an approximate message passing (AMP) decoder, whose performance can be predicted via so-called state evolution in the…

Information Theory · Computer Science 2021-03-09 Haiwen Cao , Pascal O. Vontobel

We consider a setting of Slepian--Wolf coding, where the random bin of the source vector undergoes channel coding, and then decoded at the receiver, based on additional side information, correlated to the source. For a given distribution of…

Information Theory · Computer Science 2016-01-26 Neri Merhav

Deploying a deep learning model on mobile/IoT devices is a challenging task. The difficulty lies in the trade-off between computation speed and accuracy. A complex deep learning model with high accuracy runs slowly on resource-limited…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Xin Li , Shuai Zhang , Bolan Jiang , Yingyong Qi , Mooi Choo Chuah , Ning Bi

In distributed optimization problems, a technique called gradient coding, which involves replicating data points, has been used to mitigate the effect of straggling machines. Recent work has studied approximate gradient coding, which…

Machine Learning · Statistics 2021-08-09 Margalit Glasgow , Mary Wootters

Window decoding, first proposed to reduce decoding complexity for real-time decoding, is an essential component to realize scalable, universal-fault tolerant computation. Prior work has focused on improving throughput through…

Quantum Physics · Physics 2026-05-05 Tina Oberoi , Joshua Viszlai , Frederic T. Chong

This work studies point-to-point, multiple access, and random access lossless source coding in the finite-blocklength regime. In each scenario, a random coding technique is developed and used to analyze third-order coding performance.…

Information Theory · Computer Science 2020-10-13 Shuqing Chen , Michelle Effros , Victoria Kostina

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

The problem of distributed data compression for function computation is considered, where (i) the function to be computed is not necessarily symbol-wise function and (ii) the information source has memory and may not be stationary nor…

Information Theory · Computer Science 2015-05-12 Shigeaki Kuzuoka , Shun Watanabe

We consider Slepian-Wolf code design based on LDPC (low-density parity-check) coset codes for memoryless source-side information pairs. A density evolution formula, equipped with a concentration theorem, is derived for Slepian- Wolf coding…

Information Theory · Computer Science 2007-07-13 Jun Chen , Da-ke He , Ashish Jagmohan

Coded distributed computing was recently introduced to mitigate the effect of stragglers on distributed computing. This paper combines ideas of approximate computing with coded computing to further accelerate computation. We propose…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-11 Shahrzad Kiani , Stark C. Draper

This paper presents a novel graphical approach that counts the number of global 8-cycles on the SCRAM three-layer Tanner graph. SCRAM, which stands for Slotted Coded Random Access Multiplexing, is a joint decoder that is meets challenging…

Information Theory · Computer Science 2024-10-11 Sally Nafie , Joerg Robert , Albert Heuberger

In this paper, we present an optimal metric function on average, which leads to a significantly low decoding computation while maintaining the superiority of the polarization-adjusted convolutional (PAC) codes' error-correction performance.…

Information Theory · Computer Science 2020-12-11 Mohsen Moradi

In distributed multilevel diversity coding, $K$ correlated sources (each with $K$ components) are encoded in a distributed manner such that, given the outputs from any $\alpha$ encoders, the decoder can reconstruct the first $\alpha$…

Information Theory · Computer Science 2015-05-04 Zhiqing Xiao , Jun Chen , Yunzhou Li , Jing Wang

Finding the origin of short phrases propagating through the web has been formalized by Leskovec et al. [ACM SIGKDD 2009] as DAG Partitioning: given an arc-weighted directed acyclic graph on $n$ vertices and $m$ arcs, delete arcs with total…

Data Structures and Algorithms · Computer Science 2017-02-02 René van Bevern , Robert Bredereck , Morgan Chopin , Sepp Hartung , Falk Hüffner , André Nichterlein , Ondřej Suchý

In this paper, we present two approximation algorithms for the directed multi-multiway cut and directed multicut problems. The so called region growing paradigm \cite{1} is modified and used for these two cut problems on directed graphs. By…

Data Structures and Algorithms · Computer Science 2020-11-06 Ramin Yarinezhad , Seyed Naser Hashemi

The decoding error probability of codes is studied as a function of their block length. It is shown that the existence of codes with a polynomially small decoding error probability implies the existence of codes with an exponentially small…

Information Theory · Computer Science 2007-07-13 Alexei Ashikhmin , Vitaly Skachek

We consider a noisy Slepian-Wolf problem where two correlated sources are separately encoded (using codes of fixed rate) and transmitted over two independent binary memoryless symmetric channels. The capacity of each channel is…

Information Theory · Computer Science 2012-01-04 Arvind Yedla , Henry D. Pfister , Krishna R. Narayanan

We propose a new coding scheme, called the delayed coding (DC) scheme, for channels with insertion, deletion, and substitution (IDS) errors. The proposed scheme employs delayed encoding and non-iterative detection and decoding strategies to…

Information Theory · Computer Science 2022-05-25 Ryo Shibata , Hiroyuki Yashima

We develop the theory of a new type of asymptotic expansions for functions of two variables the coefficients of which contain functions of one of the variables as well as functions of the quotient of these two variables. These combined…

Dynamical Systems · Mathematics 2010-04-30 Augustin Fruchard , Reinhard Schäfke

We develop the theory of a new type of asymptotic expansions for functions of two variables the coefficients of which contain functions of one of the variables as well as functions of the quotient of these two variables. These combined…

Dynamical Systems · Mathematics 2010-03-23 Augustin Fruchard , Reinhard Schäfke