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Stochastic Gradient Descent (SGD) is a popular optimization method which has been applied to many important machine learning tasks such as Support Vector Machines and Deep Neural Networks. In order to parallelize SGD, minibatch training is…

机器学习 · 统计学 2014-05-14 Peilin Zhao , Tong Zhang

This paper considers the problem of designing a dynamical system to solve constrained optimization problems in a distributed way and in an anytime fashion (i.e., such that the feasible set is forward invariant). For problems with separable…

最优化与控制 · 数学 2023-09-07 Pol Mestres , Jorge Cortés

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…

机器学习 · 统计学 2017-11-21 Zachary Charles , Dimitris Papailiopoulos , Jordan Ellenberg

Distributed gradient descent (DGD) is an efficient way of implementing gradient descent (GD), especially for large data sets, by dividing the computation tasks into smaller subtasks and assigning to different computing servers (CSs) to be…

信息论 · 计算机科学 2018-11-29 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

We study distributed methods for online prediction and stochastic optimization. Our approach is iterative: in each round nodes first perform local computations and then communicate in order to aggregate information and synchronize their…

信息论 · 计算机科学 2014-03-06 Konstantinos I. Tsianos , Michael G. Rabbat

Distributed Stochastic Gradient Descent (SGD) when run in a synchronous manner, suffers from delays in waiting for the slowest learners (stragglers). Asynchronous methods can alleviate stragglers, but cause gradient staleness that can…

机器学习 · 统计学 2018-05-11 Sanghamitra Dutta , Gauri Joshi , Soumyadip Ghosh , Parijat Dube , Priya Nagpurkar

In distributed stochastic optimization, where parallel and asynchronous methods are employed, we establish optimal time complexities under virtually any computation behavior of workers/devices/CPUs/GPUs, capturing potential disconnections…

最优化与控制 · 数学 2025-02-07 Alexander Tyurin

There is a growing cross-disciplinary effort in the broad domain of optimization and learning with streams of data, applied to settings where traditional batch optimization techniques cannot produce solutions at time scales that match the…

最优化与控制 · 数学 2021-11-29 Emiliano Dall'Anese , Andrea Simonetto , Stephen Becker , Liam Madden

We consider straggler-resilient learning. In many previous works, e.g., in the coded computing literature, straggling is modeled as random delays that are independent and identically distributed between workers. However, in many practical…

分布式、并行与集群计算 · 计算机科学 2021-11-30 Albin Severinson , Eirik Rosnes , Salim El Rouayheb , Alexandre Graell i Amat

In modern computer systems, jobs are divided into short tasks and executed in parallel. Empirical observations in practical systems suggest that the task service times are highly random and the job service time is bottlenecked by the…

性能 · 计算机科学 2017-02-08 Yin Sun , C. Emre Koksal , Ness B. Shroff

Modern stochastic optimization methods often rely on uniform sampling which is agnostic to the underlying characteristics of the data. This might degrade the convergence by yielding estimates that suffer from a high variance. A possible…

机器学习 · 统计学 2018-06-07 Zalán Borsos , Andreas Krause , Kfir Y. Levy

Existing gradient coding schemes introduce identical redundancy across the coordinates of gradients and hence cannot fully utilize the computation results from partial stragglers. This motivates the introduction of diverse redundancies…

分布式、并行与集群计算 · 计算机科学 2021-09-21 Qi Wang , Ying Cui , Chenglin Li , Junni Zou , Hongkai Xiong

In this paper, we focus on approaches to parallelizing stochastic gradient descent (SGD) wherein data is farmed out to a set of workers, the results of which, after a number of updates, are then combined at a central master node. Although…

机器学习 · 计算机科学 2018-10-09 Nuwan Ferdinand , Stark Draper

Interactive time responses are a crucial requirement for users analyzing large amounts of data. Such analytical queries are typically run in a distributed setting, with data being sharded across thousands of nodes for high throughput.…

数据库 · 计算机科学 2020-02-06 Bruhathi Sundarmurthy , Harshad Deshmukh , Paris Koutris , Jeffrey Naughton

Today's massively-sized datasets have made it necessary to often perform computations on them in a distributed manner. In principle, a computational task is divided into subtasks which are distributed over a cluster operated by a…

信息论 · 计算机科学 2017-06-20 Wael Halbawi , Navid Azizan-Ruhi , Fariborz Salehi , Babak Hassibi

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…

分布式、并行与集群计算 · 计算机科学 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…

信息论 · 计算机科学 2023-08-09 Anindya Bijoy Das , Aditya Ramamoorthy , David J. Love , Christopher G. Brinton

Many distributed training techniques like Parameter Server and AllReduce have been proposed to take advantage of the increasingly large data and rich features. However, stragglers frequently occur in distributed training due to resource…

分布式、并行与集群计算 · 计算机科学 2024-04-16 Youshao Xiao , Lin Ju , Zhenglei Zhou , Siyuan Li , Zhaoxin Huan , Dalong Zhang , Rujie Jiang , Lin Wang , Xiaolu Zhang , Lei Liang , Jun Zhou

This paper studies a distributed online constrained optimization problem over time-varying unbalanced digraphs without explicit subgradients. In sharp contrast to the existing algorithms, we design a novel consensus-based distributed online…

最优化与控制 · 数学 2022-08-26 Yongyang Xiong , Xiang Li , Keyou You , Ligang Wu

This paper develops coding techniques to reduce the running time of distributed learning tasks. It characterizes the fundamental tradeoff to compute gradients (and more generally vector summations) in terms of three parameters: computation…

机器学习 · 统计学 2018-02-13 Min Ye , Emmanuel Abbe