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Coded distributed computing can alleviate the communication load by leveraging the redundant storage and computation resources with coding techniques in distributed computing. In this paper, we study a MapReduce-type distributed computing…

信息论 · 计算机科学 2023-01-11 Qifa Yan , Xiaohu Tang , Meixia Tao , Qin Huang

Long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. But for polar codes with short and moderate code length, the decoding…

信息论 · 计算机科学 2016-11-18 Jun Lin , Chenrong Xiong , Zhiyuan Yan

We consider distributed learning in the presence of slow and unresponsive worker nodes, referred to as stragglers. In order to mitigate the effect of stragglers, gradient coding redundantly assigns partial computations to the worker such…

信息论 · 计算机科学 2022-12-19 Luis Maßny , Christoph Hofmeister , Maximilian Egger , Rawad Bitar , Antonia Wachter-Zeh

Topological error correcting codes, and particularly the surface code, currently provide the most feasible roadmap towards large-scale fault-tolerant quantum computation. As such, obtaining fast and flexible decoding algorithms for these…

量子物理 · 物理学 2021-01-12 Ryan Sweke , Markus S. Kesselring , Evert P. L. van Nieuwenburg , Jens Eisert

Typically, fault-tolerant operations and code concatenation are reserved for quantum error correction due to their resource overhead. Here, we show that fault tolerant operations have a large impact on the performance of symmetry based…

量子物理 · 物理学 2024-07-19 Alvin Gonzales , Anjala M Babu , Ji Liu , Zain Saleem , Mark Byrd

In this paper we address the problem of decoding linearized Reed-Solomon (LRS) codes beyond their unique decoding radius. We analyze the complexity in order to evaluate if the considered problem is of cryptographic relevance, i.e., can be…

信息论 · 计算机科学 2023-06-08 Thomas Jerkovits , Hannes Bartz , Antonia Wachter-Zeh

Error-correcting codes that admit local decoding and correcting algorithms have been the focus of much recent research due to their numerous theoretical and practical applications. An important goal is to obtain the best possible tradeoffs…

数据结构与算法 · 计算机科学 2018-09-19 Jeremiah Blocki , Venkata Gandikota , Elena Grigorescu , Samson Zhou

The idle computers on a local area, campus area, or even wide area network represent a significant computational resource---one that is, however, also unreliable, heterogeneous, and opportunistic. This type of resource has been used…

分布式、并行与集群计算 · 计算机科学 2007-05-23 Adriana Iamnitchi , Ian Foster

The aim of this paper is to propose an alternative method to solve a Fault Tolerant Control problem. The model is a linear system affected by a disturbance term: this represents a large class of technological faulty processes. The goal is…

最优化与控制 · 数学 2010-11-15 Sophie M. Fosson

The distributed linearly separable computation problem finds extensive applications across domains such as distributed gradient coding, distributed linear transform, real-time rendering, etc. In this paper, we investigate this problem in a…

信息论 · 计算机科学 2024-01-30 Haoning Chen , Minquan Cheng , Zhenhao Huang , Youlong Wu

Long polar codes can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. However, for polar codes with short and moderate code length,…

硬件体系结构 · 计算机科学 2014-11-18 Jun Lin , Zhiyuan Yan

Coded matrix multiplication is a technique to enable straggler-resistant multiplication of large matrices in distributed computing systems. In this paper, we first present a conceptual framework to represent the division of work amongst…

信息论 · 计算机科学 2019-07-23 Shahrzad Kiani , Nuwan Ferdinand , Stark C. Draper

A new ensemble of structured codes is introduced. These codes are called Quasi Linear Codes (QLC). The QLC's are constructed by taking subsets of linear codes. They have a looser structure compared to linear codes and are not closed under…

信息论 · 计算机科学 2016-02-16 F. Shirani , M. Heidari , S. S. Pradhan

Several types of AL-FEC (Application-Level FEC) codes for the Packet Erasure Channel exist. Random Linear Codes (RLC), where redundancy packets consist of random linear combinations of source packets over a certain finite field, are a…

信息论 · 计算机科学 2014-08-26 Kazuhisa Matsuzono , Vincent Roca , Hitoshi Asaeda

Product codes (PCs) protect a two-dimensional array of bits using short component codes. Assuming transmission over the binary symmetric channel, the decoding is commonly performed by iteratively applying bounded-distance decoding to the…

信息论 · 计算机科学 2017-11-22 Christian Häger , Henry D. Pfister

Slow running or straggler tasks can significantly reduce computation speed in distributed computation. Recently, coding-theory-inspired approaches have been applied to mitigate the effect of straggling, through embedding redundancy in…

机器学习 · 统计学 2018-01-24 Can Karakus , Yifan Sun , Suhas Diggavi , Wotao Yin

Recently, coding has been a useful technique to mitigate the effect of stragglers in distributed computing. However, coding in this context has been mainly explored under the assumption of homogeneous workers, although the real-world…

分布式、并行与集群计算 · 计算机科学 2020-02-18 DaeJin Kim , Hyegyeong Park , Junkyun Choi

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

信息论 · 计算机科学 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

In this paper, we propose Code-Bridged Classifier (CBC), a framework for making a Convolutional Neural Network (CNNs) robust against adversarial attacks without increasing or even by decreasing the overall models' computational complexity.…

This paper investigates the problem of single-source multicasting over a communication network in the presence of restricted adversaries. When the adversary is constrained to operate only on a prescribed subset of edges, classical cut-set…

信息论 · 计算机科学 2026-03-10 Christopher Hojny , Altan B. Kılıç , Sascha Kurz , Alberto Ravagnani