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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

Matrix multiplication is a fundamental computation in many scientific disciplines. In this paper, we show that novel fast matrix multiplication algorithms can significantly outperform vendor implementations of the classical algorithm and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-08 Austin R. Benson , Grey Ballard

We consider the problem of private distributed matrix multiplication under limited resources. Coded computation has been shown to be an effective solution in distributed matrix multiplication, both providing privacy against the workers and…

Information Theory · Computer Science 2021-07-14 Burak Hasircioglu , Jesus Gomez-Vilardebo , Deniz Gunduz

In this paper, due to the important value in practical applications, we consider the coded distributed matrix multiplication problem of computing $AA^\top$ in a distributed computing system with $N$ worker nodes and a master node, where the…

Information Theory · Computer Science 2023-06-27 Jingke Xu , Yaqian Zhang , Libo Wang

Matrix multiplication over the real field constitutes a foundational operation in the training of deep learning models, serving as a computational cornerstone for both forward and backward propagation processes. However, the presence of…

Information Theory · Computer Science 2025-08-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

In large scale distributed linear transform problems, coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may get delayed due to few slow or faulty processors). We propose a coded…

Information Theory · Computer Science 2018-04-27 Sinong Wang , Jiashang Liu , Ness Shroff , Pengyu Yang

Coded computation is a framework which provides redundancy in distributed computing systems to speed up largescale tasks. Although most existing works assume an error-free scenarios in a master-worker setup, the link failures are common in…

Information Theory · Computer Science 2019-01-14 Dong-Jun Han , Jy-yong Sohn , Jaekyun Moon

To improve the utility of learning applications and render machine learning solutions feasible for complex applications, a substantial amount of heavy computations is needed. Thus, it is essential to delegate the computations among several…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-29 Homa Esfahanizadeh , Alejandro Cohen , Muriel Medard

Computationally intensive distributed and parallel computing is often bottlenecked by a small set of slow workers known as stragglers. In this paper, we utilize the emerging idea of "coded computation" to design a novel…

Information Theory · Computer Science 2017-06-06 Yaoqing Yang , Pulkit Grover , Soummya Kar

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…

Information Theory · Computer Science 2021-02-15 Tayyebeh Jahani-Nezhad , Mohammad Ali Maddah-Ali

This paper considers the problem of calculating the matrix multiplication of two massive matrices $\mathbf{A}$ and $\mathbf{B}$ distributedly. We provide a modulo technique that can be applied to coded distributed matrix multiplication…

Information Theory · Computer Science 2023-09-20 Zhiquan Tan , Dingli Yuan , Zihao Wang , Zhongyi Huang

Elasticity is offered by cloud service providers to exploit under-utilized computing resources. The low-cost elastic nodes can leave and join any time during the computation cycle. The possibility of elastic events occurring together with…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-24 Shahrzad Kiani , Tharindu Adikari , Stark C. Draper

One of the most common, but at the same time expensive operations in linear algebra, is multiplying two matrices $A$ and $B$. With the rapid development of machine learning and increases in data volume, performing fast matrix intensive…

Information Theory · Computer Science 2020-11-20 Neophytos Charalambides , Mert Pilanci , Alfred Hero

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…

Information Theory · Computer Science 2018-10-22 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

We propose a unified coded framework for distributed computing with straggling servers, by introducing a tradeoff between "latency of computation" and "load of communication" for some linear computation tasks. We show that the coded scheme…

Information Theory · Computer Science 2016-10-26 Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Computationally efficient matrix multiplication is a fundamental requirement in various fields, including and particularly in data analytics. To do so, the computation task of a large-scale matrix multiplication is typically outsourced to…

Information Theory · Computer Science 2018-11-01 Jaber Kakar , Seyedhamed Ebadifar , Aydin Sezgin

Gradient descent (GD) methods are commonly employed in machine learning problems to optimize the parameters of the model in an iterative fashion. For problems with massive datasets, computations are distributed to many parallel computing…

Information Theory · Computer Science 2019-03-06 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

Tensors are a fundamental operation in distributed computing, \emph{e.g.,} machine learning, that are commonly distributed into multiple parallel tasks for large datasets. Stragglers and other failures can severely impact the overall…

Information Theory · Computer Science 2024-10-30 Pedro Soto

Coded computation techniques provide robustness against straggling servers in distributed computing, with the following limitations: First, they increase decoding complexity. Second, they ignore computations carried out by straggling…

Machine Learning · Computer Science 2018-11-29 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

Large-scale machine learning and data mining methods routinely distribute computations across multiple agents to parallelize processing. The time required for computation at the agents is affected by the availability of local resources…

Information Theory · Computer Science 2021-03-22 Busra Tegin , Eduin E. Hernandez , Stefano Rini , Tolga M. Duman