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We analyze the convergence of gradient-based optimization algorithms that base their updates on delayed stochastic gradient information. The main application of our results is to the development of gradient-based distributed optimization…

Optimization and Control · Mathematics 2011-05-02 Alekh Agarwal , John C. Duchi

We consider the problem of computing the convolution of two long vectors using parallel processing units in the presence of "stragglers". Stragglers refer to the small fraction of faulty or slow processors that delays the entire computation…

Information Theory · Computer Science 2017-05-11 Sanghamitra Dutta , Viveck Cadambe , Pulkit Grover

With the increasing demand for large-scale training of machine learning models, consensus-based distributed optimization methods have recently been advocated as alternatives to the popular parameter server framework. In this paradigm, each…

Machine Learning · Computer Science 2021-02-15 Guojun Xiong , Gang Yan , Rahul Singh , Jian Li

This paper studies the distributed linearly separable computation problem, which is a generalization of many existing distributed computing problems such as distributed gradient descent and distributed linear transform. In this problem, a…

Information Theory · Computer Science 2020-10-06 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

Distributed computing, in which a resource-intensive task is divided into subtasks and distributed among different machines, plays a key role in solving large-scale problems. Coded computing is a recently emerging paradigm where redundancy…

Information Theory · Computer Science 2023-03-15 Hoang Dau , Ryan Gabrys , Yu-Chih Huang , Chen Feng , Quang-Hung Luu , Eidah Alzahrani , Zahir Tari

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

Optimization in distributed networks plays a central role in almost all distributed machine learning problems. In principle, the use of distributed task allocation has reduced the computational time, allowing better response rates and…

Optimization and Control · Mathematics 2021-08-23 Elie Atallah , Nazanin Rahnavard , Chinwendu Enyioha

Scheduling is an important task allowing parallel systems to perform efficiently and reliably. For modern computation systems, divisible load is a special type of data which can be divided into arbitrary sizes and independently processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-02-07 Fei Wu , Yang Cao , Thomas Robertazzi

We introduce a new, high-throughput, synchronous, distributed, data-parallel, stochastic-gradient-descent learning algorithm. This algorithm uses amortized inference in a compute-cluster-specific, deep, generative, dynamical model to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-14 Michael Teng , Frank Wood

Existing approaches to distributed matrix computations involve allocating coded combinations of submatrices to worker nodes, to build resilience to stragglers and/or enhance privacy. In this study, we consider the challenge of preserving…

Information Theory · Computer Science 2023-08-09 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

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

Matrix computations are a fundamental building-block of edge computing systems, with a major recent uptick in demand due to their use in AI/ML training and inference procedures. Existing approaches for distributing matrix computations…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-12 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

This paper formulates a distributed computation problem, where a master asks $N$ distributed workers to compute a linearly separable function. The task function can be expressed as $K_c$ linear combinations of $K$ messages, where each…

Information Theory · Computer Science 2021-10-26 Kai Wan , Hua Sun , Mingyue Ji , Giuseppe Caire

In modern distributed computing systems, unpredictable and unreliable infrastructures result in high variability of computing resources. Meanwhile, there is significantly increasing demand for timely and event-driven services with deadline…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-12 Chien-Sheng Yang , Ramtin Pedarsani , A. Salman Avestimehr

We consider the problem of massive matrix multiplication, which underlies many data analytic applications, in a large-scale distributed system comprising a group of worker nodes. We target the stragglers' delay performance bottleneck, which…

Information Theory · Computer Science 2020-04-10 Qian Yu , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Mobile-edge computing (MEC) emerges as a promising paradigm to improve the quality of computation experience for mobile devices. Nevertheless, the design of computation task scheduling policies for MEC systems inevitably encounters a…

Information Theory · Computer Science 2016-11-15 Juan Liu , Yuyi Mao , Jun Zhang , Khaled B. Letaief

Distributed algorithms are often beset by the straggler effect, where the slowest compute nodes in the system dictate the overall running time. Coding-theoretic techniques have been recently proposed to mitigate stragglers via algorithmic…

Machine Learning · Statistics 2017-11-21 Zachary Charles , Dimitris Papailiopoulos , Jordan Ellenberg

Motivated by modern parallel computing applications, we consider the problem of scheduling parallel-task jobs with heterogeneous resource requirements in a cluster of machines. Each job consists of a set of tasks that can be processed in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-04-03 Mehrnoosh Shafiee , Javad Ghaderi

In large-scale distributed computing clusters, such as Amazon EC2, there are several types of "system noise" that can result in major degradation of performance: bottlenecks due to limited communication bandwidth, latency due to straggler…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-21 Amirhossein Reisizadeh , Saurav Prakash , Ramtin Pedarsani , Amir Salman Avestimehr

Due to the massive size of the neural network models and training datasets used in machine learning today, it is imperative to distribute stochastic gradient descent (SGD) by splitting up tasks such as gradient evaluation across multiple…

Machine Learning · Computer Science 2020-03-13 Xiaoxi Zhang , Jianyu Wang , Gauri Joshi , Carlee Joe-Wong
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