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Random Linear Network Coding (RLNC) is a transmission scheme that opts for linear combinations of the transmitted packets at a subset of the intermediate nodes. This scheme is usually considered when Network Coding (NC) is desired over…

信息论 · 计算机科学 2023-04-27 Amine Brahimi , Fatiha Merazka

Unsourced random access (URA) is a recently proposed multiple access paradigm tailored to the uplink channel of machine-type communication networks. By exploiting a strong connection between URA and compressed sensing, the massive multiple…

We propose two coded schemes for the distributed computing problem of multiplying a matrix by a set of vectors. The first scheme is based on partitioning the matrix into submatrices and applying maximum distance separable (MDS) codes to…

信息论 · 计算机科学 2018-10-22 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

Batch codes are a type of codes specifically designed for coded distributed storage systems and private information retrieval protocols. These codes have got much attention in recent years due to their ability to enable efficient and secure…

信息论 · 计算机科学 2024-04-18 Xiangliang Kong , Chen Wang , Yiwei Zhang

Subspace sparse coding (SSC) algorithms have proven to be beneficial to clustering problems. They provide an alternative data representation in which the underlying structure of the clusters can be better captured. However, most of the…

机器学习 · 计算机科学 2019-03-14 Babak Hosseini , Barbara Hammer

Coded distributed matrix multiplication (CDMM) schemes, such as MatDot codes, seek efficient ways to distribute matrix multiplication task(s) to a set of $N$ distributed servers so that the answers returned from any $R$ servers are…

信息论 · 计算机科学 2021-05-18 Junge Wang , Zhuqing Jia , Syed A. Jafar

Spatially-coupled (SC) codes, known for their threshold saturation phenomenon and low-latency windowed decoding algorithms, are ideal for streaming applications and data storage systems. SC codes are constructed by partitioning an…

信息论 · 计算机科学 2021-09-21 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

In this paper, we propose CodedSketch, as a distributed straggler-resistant scheme to compute an approximation of the multiplication of two massive matrices. The objective is to reduce the recovery threshold, defined as the total number of…

信息论 · 计算机科学 2021-02-15 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

Conventional coded computing frameworks are predominantly tailored for structured computations, such as matrix multiplication and polynomial evaluation. Such tasks allow the reuse of tools and techniques from algebraic coding theory to…

分布式、并行与集群计算 · 计算机科学 2025-02-13 Parsa Moradi , Hanzaleh Akbarinodehi , Mohammad Ali Maddah-Ali

Supporting multiple partial computations efficiently at each of the workers is a keystone in distributed coded computing in order to speed up computations and to fully exploit the resources of heterogeneous workers in terms of…

信息论 · 计算机科学 2024-11-25 Jesús Gómez-Vilardebó , Burak Hasırcıoğlu , Deniz Gündüz

Coded Distributed Matrix Multiplication (CDMM) is a distributed matrix multiplication (DMM) for large-scale matrices through a coding scheme such that any $R$ worker node among all $N$ worker nodes can recover the final product, where $N$…

分布式、并行与集群计算 · 计算机科学 2024-12-03 Yi Kuang , Jiang Li , Songsong Li , Chaoping Xing

We introduce generalized spatially coupled parallel concatenated codes (GSC-PCCs), a class of spatially coupled turbo-like codes obtained by coupling parallel concatenated codes (PCCs) with a fraction of information bits repeated before the…

信息论 · 计算机科学 2021-05-04 Min Qiu , Xiaowei Wu , Jinhong Yuan , Alexandre Graell i Amat

Coded computation is a method to mitigate "stragglers" in distributed computing systems through the use of error correction coding that has lately received significant attention. First used in vector-matrix multiplication, the range of…

信息论 · 计算机科学 2018-06-28 Nuwan Ferdinand , Stark Draper

Coded computation techniques provide robustness against straggling workers in distributed computing. However, most of the existing schemes require exact provisioning of the straggling behaviour and ignore the computations carried out by…

信息论 · 计算机科学 2021-12-07 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

In a large-scale and distributed matrix multiplication problem $C=A^{\intercal}B$, where $C\in\mathbb{R}^{r\times t}$, the coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may…

分布式、并行与集群计算 · 计算机科学 2018-04-19 Sinong Wang , Jiashang Liu , Ness Shroff

Linear nested codes, where two or more sub-codes are nested in a global code, have been proposed as candidates for reliable multi-terminal communication. In this paper, we consider nested array-based spatially coupled low-density…

信息论 · 计算机科学 2021-02-23 Salman Habib , David G. M. Mitchell , Joerg Kliewer

Coded polynomial aggregation (CPA) in distributed computing systems enables the master to directly recover a weighted aggregation of polynomial computations without individually decoding each term, thereby reducing the number of required…

信息论 · 计算机科学 2026-02-04 Xi Zhong , Jörg Kliewer , Mingyue Ji

Network coding is known to improve the throughput and the resilience to losses in most network scenarios. In a practical network scenario, however, the accurate modeling of the traffic is often too complex and/or infeasible. The goal is…

信息论 · 计算机科学 2009-08-25 Anoosheh Heidarzadeh , Amir H. Banihashemi

We construct optimal secure coded distributed schemes that extend the known optimal constructions over fields of characteristic 0 to all fields. A serendipitous result is that we can encode \emph{all} functions over finite fields with a…

信息论 · 计算机科学 2025-04-28 Pedro Soto

We consider a large-scale matrix multiplication problem where the computation is carried out using a distributed system with a master node and multiple worker nodes, where each worker can store parts of the input matrices. We propose a…

信息论 · 计算机科学 2018-01-25 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr