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When gradient descent (GD) is scaled to many parallel workers for large scale machine learning problems, its per-iteration computation time is limited by the straggling workers. Straggling workers can be tolerated by assigning redundant…

Information Theory · Computer Science 2020-06-24 Emre Ozfatura , Sennur Ulukus , Deniz Gunduz

In this work we focus our attention on distributed optimization problems in the context where the communication time between the server and the workers is non-negligible. We obtain novel methods supporting bidirectional compression (both…

Optimization and Control · Mathematics 2023-05-23 Kaja Gruntkowska , Alexander Tyurin , Peter Richtárik

The paper addresses large-scale, convex optimization problems that need to be solved in a distributed way by agents communicating according to a random time-varying graph. Specifically, the goal of the network is to minimize the sum of…

Optimization and Control · Mathematics 2020-10-28 Andrea Camisa , Francesco Farina , Ivano Notarnicola , Giuseppe Notarstefano

We revisit existing linear computation coding (LCC) algorithms, and introduce a new framework that measures the computational cost of computing multidimensional linear functions, not only in terms of the number of additions, but also with…

Information Theory · Computer Science 2024-01-17 Hans Rosenberger , Ali Bereyhi , Ralf R. Müller

In the research area of parallel computation, the communication cost has been extensively studied, while the IO cost has been neglected. For big data computation, the assumption that the data fits in main memory no longer holds, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-25 Hengzhao Ma , Xiangyu Gao , Jianzhong Li , Tianpeng Gao

Distributed computing frameworks such as MapReduce and Spark are often used to process large-scale data computing jobs. In wireless scenarios, exchanging data among distributed nodes would seriously suffer from the communication bottleneck…

Information Theory · Computer Science 2023-10-25 Youlong Wu , Zhenhao Huang , Kai Yuan , Shuai Ma , Yue Bi

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

Systems and Control · Computer Science 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

We propose a flexible gradient tracking approach with adjustable computation and communication steps for solving distributed stochastic optimization problem over networks. The proposed method allows each node to perform multiple local…

Optimization and Control · Mathematics 2023-06-13 Yan Huang , Jinming Xu

Distributed deep learning (DL) has become prevalent in recent years to reduce training time by leveraging multiple computing devices (e.g., GPUs/TPUs) due to larger models and datasets. However, system scalability is limited by…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-04 Zhenheng Tang , Shaohuai Shi , Wei Wang , Bo Li , Xiaowen Chu

Currently, progressively larger deep neural networks are trained on ever growing data corpora. As this trend is only going to increase in the future, distributed training schemes are becoming increasingly relevant. A major issue in…

Machine Learning · Computer Science 2018-05-23 Felix Sattler , Simon Wiedemann , Klaus-Robert Müller , Wojciech Samek

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…

Information Theory · Computer Science 2023-01-11 Qifa Yan , Xiaohu Tang , Meixia Tao , Qin Huang

The aim of this work is to develop a fully-distributed algorithmic framework for training graph convolutional networks (GCNs). The proposed method is able to exploit the meaningful relational structure of the input data, which are collected…

Machine Learning · Computer Science 2022-12-21 Simone Scardapane , Indro Spinelli , Paolo Di Lorenzo

We resolve the min-max complexity of distributed stochastic convex optimization (up to a log factor) in the intermittent communication setting, where $M$ machines work in parallel over the course of $R$ rounds of communication to optimize…

Machine Learning · Computer Science 2021-08-06 Blake Woodworth , Brian Bullins , Ohad Shamir , Nathan Srebro

Coded distributed computing (CDC) introduced by Li et al. in 2015 offers an efficient approach to trade computing power to reduce the communication load in general distributed computing frameworks such as MapReduce. For the more general…

Information Theory · Computer Science 2019-01-24 Nicholas Woolsey , Rong-Rong Chen , Mingyue Ji

Motivated by applications in machine learning and statistics, we study distributed optimization problems over a network of processors, where the goal is to optimize a global objective composed of a sum of local functions. In these problems,…

Optimization and Control · Mathematics 2019-05-14 Thinh T. Doan , Carolyn L. Beck , R. Srikant

Communication compression is a common technique in distributed optimization that can alleviate communication overhead by transmitting compressed gradients and model parameters. However, compression can introduce information distortion,…

Machine Learning · Computer Science 2024-01-12 Yutong He , Xinmeng Huang , Kun Yuan

This paper investigates distributed computing systems where computations are split into "Map" and "Reduce" functions. A new coded scheme, called distributed computing and coded communication (D3C), is proposed, and its communication load is…

Information Theory · Computer Science 2020-01-23 Qifa Yan , Sheng Yang , Michèle Wigger

We consider a standard distributed optimisation setting where $N$ machines, each holding a $d$-dimensional function $f_i$, aim to jointly minimise the sum of the functions $\sum_{i = 1}^N f_i (x)$. This problem arises naturally in…

Machine Learning · Computer Science 2021-12-08 Dan Alistarh , Janne H. Korhonen

In distributed machine learning, a central node outsources computationally expensive calculations to external worker nodes. The properties of optimization procedures like stochastic gradient descent (SGD) can be leveraged to mitigate the…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-19 Maximilian Egger , Serge Kas Hanna , Rawad Bitar

In distributed optimization and machine learning, multiple nodes coordinate to solve large problems. To do this, the nodes need to compress important algorithm information to bits so that it can be communicated over a digital channel. The…

Optimization and Control · Mathematics 2020-12-02 Sindri Magnússon , Hossein Shokri-Ghadikolaei , Na Li
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