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We consider the problem of coded distributed computing using polar codes. The average execution time of a coded computing system is related to the error probability for transmission over the binary erasure channel in recent work by…

Information Theory · Computer Science 2022-02-02 Dorsa Fathollahi , Marco Mondelli

We consider a communication system in which the outputs of a Markov source are encoded and decoded in \emph{real-time} by a finite memory receiver, and the distortion measure does not tolerate delays. The objective is to choose designs,…

Information Theory · Computer Science 2007-07-13 Aditya Mahajan , Demosthenis Teneketzis

Unlike traditional file transfer where only total delay matters, streaming applications impose delay constraints on each packet and require them to be in order. To achieve fast in-order packet decoding, we have to compromise on the…

Information Theory · Computer Science 2014-03-04 Gauri Joshi , Yuval Kochman , Gregory Wornell

This paper investigates guesswork over ordered statistics and formulates the achievable guesswork complexity of ordered statistics decoding (OSD) in binary additive white Gaussian noise (AWGN) channels. The achievable guesswork complexity…

Information Theory · Computer Science 2024-12-18 Chentao Yue , Changyang She , Branka Vucetic , Yonghui Li

The context tree source is a source model in which the occurrence probability of symbols is determined from a finite past sequence, and is a broader class of sources that includes i.i.d. and Markov sources. The proposed source model in this…

Information Theory · Computer Science 2021-05-14 Koshi Shimada , Shota Saito , Toshiyasu Matsushima

Index coding is often studied with the assumption that a single source has all the messages requested by the receivers. We refer to this as \emph{centralized} index coding. In contrast, this paper focuses on \emph{distributed} index coding…

Information Theory · Computer Science 2015-12-21 Parastoo Sadeghi

The evolution of 5G and Beyond networks has enabled new applications with stringent end-to-end latency requirements, but providing reliable low-latency service with high throughput over public wireless networks is still a significant…

Networking and Internet Architecture · Computer Science 2022-10-19 Andrea Bedin , Federico Chiariotti , Stepan Kucera , Andrea Zanella

This paper considers rateless network error correction codes for reliable multicast in the presence of adversarial errors. Most existing network error correction codes are designed for a given network capacity and maximum number of errors…

Information Theory · Computer Science 2013-01-15 Wentao Huang , Tracey Ho , Hongyi Yao , Sidharth Jaggi

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

To solve Math Word Problems, human students leverage diverse reasoning logic that reaches different possible equation solutions. However, the mainstream sequence-to-sequence approach of automatic solvers aims to decode a fixed solution…

Computation and Language · Computer Science 2022-12-01 Yibin Shen , Qianying Liu , Zhuoyuan Mao , Zhen Wan , Fei Cheng , Sadao Kurohashi

Mobile-edge computing (MEC) emerges as a promising paradigm to improve the quality of computation experience for mobile devices. Nevertheless, the design of computation task scheduling policies for MEC systems inevitably encounters a…

Information Theory · Computer Science 2016-11-15 Juan Liu , Yuyi Mao , Jun Zhang , Khaled B. Letaief

We consider a secure source coding problem with side information (S.I.) at the decoder and the eavesdropper. The encoder has a source that it wishes to describe with limited distortion through a rate limited link to a legitimate decoder.…

Information Theory · Computer Science 2013-07-04 Yeow-Khiang Chia , Kittipong Kittichokechai

We revisit the source coding problem for a Markov chain under the assumption that the transmission times and how fast the Markov chain transitions its state happen at the same time-scale. Specifically, we assume that the transmission of…

Information Theory · Computer Science 2025-11-05 Ismail Cosandal , Sennur Ulukus

The problem of reconstructing a source sequence with the presence of decoder side-information that is mis-synchronized to the source due to deletions is studied in a distributed source coding framework. Motivated by practical applications,…

Information Theory · Computer Science 2016-11-17 Nan Ma , Kannan Ramchandran , David Tse

Large language models (LLMs) have seen considerable advancements in natural language understanding tasks, yet there remains a gap to bridge before attaining true artificial general intelligence, especially concerning shortcomings in…

Computation and Language · Computer Science 2024-02-23 Minpeng Liao , Wei Luo , Chengxi Li , Jing Wu , Kai Fan

While feasibility and obtaining a solution of a given network coding problem are well studied, the decoding procedure and complexity have not garnered much attention. We consider the decoding problem in a network wherein the sources…

Information Theory · Computer Science 2015-10-14 Anindya Gupta , B. Sundar Rajan

In a network, a node is said to incur a delay if its encoding of each transmitted symbol involves only its received symbols obtained before the time slot in which the transmitted symbol is sent (hence the transmitted symbol sent in a time…

Information Theory · Computer Science 2016-10-19 Silas L. Fong , Raymond W. Yeung

In this paper q-ary Raptor codes under ML decoding are considered. An upper bound on the probability of decoding failure is derived using the weight enumerator of the outer code, or its expected weight enumerator if the outer code is drawn…

Information Theory · Computer Science 2016-11-21 Francisco Lázaro , Gianluigi Liva , Enrico Paolini , Gerhard Bauch

Surface codes reach high error thresholds when decoded with known algorithms, but the decoding time will likely exceed the available time budget, especially for near-term implementations. To decrease the decoding time, we reduce the…

Quantum Physics · Physics 2019-02-07 Savvas Varsamopoulos , Ben Criger , Koen Bertels

The goal of this paper is to review the theoretical basis for achieving a faithful quantum information transmission and processing in the presence of noise. Initially encoding and decoding, implementing gates and quantum error correction…

Quantum Physics · Physics 2007-05-23 P. J. Salas