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Our extensive real measurements over Amazon EC2 show that the virtual instances often have different computing speeds even if they share the same configurations. This motivates us to study heterogeneous Coded Storage Elastic Computing…

Information Theory · Computer Science 2021-09-17 Nicholas Woolsey , Joerg Kliewer , Rong-Rong Chen , Mingyue Ji

We consider a distributed learning problem in which the computation is carried out on a system consisting of a master node and multiple worker nodes. In such systems, the existence of slow-running machines called stragglers will cause a…

Information Theory · Computer Science 2019-01-16 Shunsuke Horii , Takahiro Yoshida , Manabu Kobayashi , Toshiyasu Matsushima

We describe matrix computations available in the cluster programming framework, Apache Spark. Out of the box, Spark provides abstractions and implementations for distributed matrices and optimization routines using these matrices. When…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-07-14 Reza Bosagh Zadeh , Xiangrui Meng , Aaron Staple , Burak Yavuz , Li Pu , Shivaram Venkataraman , Evan Sparks , Alexander Ulanov , Matei Zaharia

Machine learning (ML) models are increasingly trained in clusters with non-dedicated workers possessing heterogeneous resources. In such scenarios, model training efficiency can be negatively affected by stragglers -- workers that run much…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-12-09 Chen Chen , Qizhen Weng , Wei Wang , Baochun Li , Bo Li

We study the expected completion time of some recently proposed algorithms for distributed computing which redundantly assign computing tasks to multiple machines in order to tolerate a certain number of machine failures. We analytically…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-08-10 Amir Behrouzi-Far , Emina Soljanin

Fail-slows, or stragglers, are common but largely unheeded problems in large-scale hybrid-parallel training that spans thousands of GPU servers and runs for weeks to months. Yet, these problems are not well studied, nor can they be quickly…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-10-17 Tianyuan Wu , Wei Wang , Yinghao Yu , Siran Yang , Wenchao Wu , Qinkai Duan , Guodong Yang , Jiamang Wang , Lin Qu , Liping Zhang

In recent years, the fervent demand for computational power across various domains has prompted hardware manufacturers to introduce specialized computing hardware aimed at enhancing computational capabilities. Particularly, the utilization…

Numerical Analysis · Mathematics 2024-03-12 Hongyaoxing Gu

We propose a novel coding theoretic framework for mitigating stragglers in distributed learning. We show how carefully replicating data blocks and coding across gradients can provide tolerance to failures and stragglers for Synchronous…

Machine Learning · Statistics 2017-03-09 Rashish Tandon , Qi Lei , Alexandros G. Dimakis , Nikos Karampatziakis

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

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-13 Parsa Moradi , Hanzaleh Akbarinodehi , Mohammad Ali Maddah-Ali

Large-scale machine learning and data mining applications require computer systems to perform massive matrix-vector and matrix-matrix multiplication operations that need to be parallelized across multiple nodes. The presence of straggling…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Ankur Mallick , Malhar Chaudhari , Utsav Sheth , Ganesh Palanikumar , Gauri Joshi

The widespread adoption of distributed learning to train a global model from local data has been hindered by the challenge posed by stragglers. Recent attempts to mitigate this issue through gradient coding have proved difficult due to the…

Networking and Internet Architecture · Computer Science 2023-07-26 Tingting Yang , Xinghan Wang , Jiahong Ning , Yang Yang

In 2018, Yang et al. introduced a novel and effective approach, using maximum distance separable (MDS) codes, to mitigate the impact of elasticity in cloud computing systems. This approach is referred to as coded elastic computing. Some…

Information Theory · Computer Science 2024-01-23 Xi Zhong , Joerg Kliewer , Mingyue Ji

Redundancy for straggler mitigation, originally in data download and more recently in distributed computing context, has been shown to be effective both in theory and practice. Analysis of systems with redundancy has drawn significant…

Performance · Computer Science 2017-10-03 Mehmet Fatih Aktas , Pei Peng , Emina Soljanin

Convolutional neural networks (CNNs) are widely applied in real-time applications on resource-constrained devices. To accelerate CNN inference, prior works proposed to distribute the inference workload across multiple devices. However, they…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-14 Xing Liu , Chao Huang , Ming Tang

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in runtime as it waits for the slowest workers (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness…

Machine Learning · Statistics 2020-03-25 Sanghamitra Dutta , Jianyu Wang , Gauri Joshi

This paper shows how to optimize sparse tensor algebraic expressions by introducing temporary tensors, called workspaces, into the resulting loop nests. We develop a new intermediate language for tensor operations called concrete index…

Mathematical Software · Computer Science 2023-10-18 Fredrik Kjolstad , Willow Ahrens , Shoaib Kamil , Saman Amarasinghe

Recent years have seen considerable work on compiling sparse tensor algebra expressions. This paper addresses a shortcoming in that work, namely how to generate efficient code (in time and space) that scatters values into a sparse result…

Programming Languages · Computer Science 2024-04-09 Genghan Zhang , Olivia Hsu , Fredrik Kjolstad

A novel fault-tolerant computation technique based on array Belief Propagation (BP)-decodable XOR (BP-XOR) codes is proposed for distributed matrix-matrix multiplication. The proposed scheme is shown to be configurable and suited for modern…

Information Theory · Computer Science 2021-12-13 Suayb S. Arslan

We consider the setting where a master wants to run a distributed stochastic gradient descent (SGD) algorithm on $n$ workers each having a subset of the data. Distributed SGD may suffer from the effect of stragglers, i.e., slow or…

Machine Learning · Computer Science 2023-10-18 Serge Kas Hanna , Rawad Bitar , Parimal Parag , Venkat Dasari , Salim El Rouayheb