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In this paper we study the tradeoff between parallelism and communication cost in a map-reduce computation. For any problem that is not "embarrassingly parallel," the finer we partition the work of the reducers so that more parallelism can…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-06-21 Foto N. Afrati , Anish Das Sarma , Semih Salihoglu , Jeffrey D. Ullman

A major hurdle in machine learning is scalability to massive datasets. One approach to overcoming this is to distribute the computational tasks among several workers. \textit{Gradient coding} has been recently proposed in distributed…

Information Theory · Computer Science 2020-09-16 Neophytos Charalambides , Hessam Mahdavifar , Alfred O. Hero

Slow running or straggler tasks can significantly reduce computation speed in distributed computation. Recently, coding-theory-inspired approaches have been applied to mitigate the effect of straggling, through embedding redundancy in…

Machine Learning · Statistics 2018-01-24 Can Karakus , Yifan Sun , Suhas Diggavi , Wotao Yin

Gradient coding is a technique for straggler mitigation in distributed learning. In this paper we design novel gradient codes using tools from classical coding theory, namely, cyclic MDS codes, which compare favorably with existing…

Information Theory · Computer Science 2019-07-09 Netanel Raviv , Itzhak Tamo , Rashish Tandon , Alexandros G. Dimakis

We consider distributed gradient descent in the presence of stragglers. Recent work on \em gradient coding \em and \em approximate gradient coding \em have shown how to add redundancy in distributed gradient descent to guarantee convergence…

Information Theory · Computer Science 2019-05-15 Rawad Bitar , Mary Wootters , Salim El Rouayheb

In this paper, we consider the problem of minimizing the total transmission cost for exchanging channel state information. We proposed a network coded cooperative data exchange scheme, such that the total transmission cost is minimized…

Information Theory · Computer Science 2012-07-12 Xiumin Wang , Wentu Song , Chau Yuen , Jing Li

We consider a distributed computing framework where the distributed nodes have different communication capabilities, motivated by the heterogeneous networks in data centers and mobile edge computing systems. Following the structure of…

Information Theory · Computer Science 2019-08-20 Nishant Shakya , Fan Li , Jinyuan Chen

We focus on the commonly used synchronous Gradient Descent paradigm for large-scale distributed learning, for which there has been a growing interest to develop efficient and robust gradient aggregation strategies that overcome two key…

Machine Learning · Statistics 2021-09-30 Amirhossein Reisizadeh , Saurav Prakash , Ramtin Pedarsani , Amir Salman Avestimehr

We study distributed optimization algorithms for minimizing the average of convex functions. The applications include empirical risk minimization problems in statistical machine learning where the datasets are large and have to be stored on…

Optimization and Control · Mathematics 2016-01-07 Jason D. Lee , Qihang Lin , Tengyu Ma , Tianbao Yang

Codes are widely used in many engineering applications to offer robustness against noise. In large-scale systems there are several types of noise that can affect the performance of distributed machine learning algorithms -- straggler nodes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-30 Kangwook Lee , Maximilian Lam , Ramtin Pedarsani , Dimitris Papailiopoulos , Kannan Ramchandran

Distributed optimization increasingly plays a central role in economical and sustainable operation of cyber-physical systems. Nevertheless, the complete potential of the technology has not yet been fully exploited in practice due to…

Optimization and Control · Mathematics 2017-10-24 Sindri Magnusson , Chinwendu Enyioha , Na Li , Carlo Fischione , Vahid Tarokh

In this work, we consider solving a distributed optimization problem in a multi-agent network with multiple clusters. In each cluster, the involved agents cooperatively optimize a separable composite function with a common decision…

Optimization and Control · Mathematics 2022-03-03 Jianzheng Wang , Guoqiang Hu

In modern decentralized applications, ensuring communication efficiency and privacy for the users are the key challenges. In order to train machine-learning models, the algorithm has to communicate to the data center and sample data for its…

Optimization and Control · Mathematics 2024-04-04 Hoang Huy Nguyen , Yan Li , Tuo Zhao

Gradient-based distributed learning in Parameter Server (PS) computing architectures is subject to random delays due to straggling worker nodes, as well as to possible communication bottlenecks between PS and workers. Solutions have been…

Information Theory · Computer Science 2020-04-09 Jingjing Zhang , Osvaldo Simeone

Scalable machine learning over big data is an important problem that is receiving a lot of attention in recent years. On popular distributed environments such as Hadoop running on a cluster of commodity machines, communication costs are…

Machine Learning · Computer Science 2015-03-18 Dhruv Mahajan , Nikunj Agrawal , S. Sathiya Keerthi , S. Sundararajan , Leon Bottou

Coded distributed computation has become common practice for performing gradient descent on large datasets to mitigate stragglers and other faults. This paper proposes a novel algorithm that encodes the partial derivatives themselves and…

Machine Learning · Computer Science 2022-06-22 Pedro Soto , Ilia Ilmer , Haibin Guan , Jun Li

In this paper, we study distributed stochastic optimization to minimize a sum of smooth and strongly-convex local cost functions over a network of agents, communicating over a strongly-connected graph. Assuming that each agent has access to…

Machine Learning · Computer Science 2019-04-11 Ran Xin , Anit Kumar Sahu , Usman A. Khan , Soummya Kar

A major hurdle in machine learning is scalability to massive datasets. Approaches to overcome this hurdle include compression of the data matrix and distributing the computations. \textit{Leverage score sampling} provides a compressed…

Information Theory · Computer Science 2020-09-16 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Distributed computing enables large-scale computation tasks to be processed over multiple workers in parallel. However, the randomness of communication and computation delays across workers causes the straggler effect, which may degrade the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-20 Yuxuan Sun , Fan Zhang , Junlin Zhao , Sheng Zhou , Zhisheng Niu , Deniz Gündüz

We establish the O($\frac{1}{k}$) convergence rate for distributed stochastic gradient methods that operate over strongly convex costs and random networks. The considered class of methods is standard each node performs a weighted average of…

Optimization and Control · Mathematics 2018-03-22 Dusan Jakovetic , Dragana Bajovic , Anit Kumar Sahu , Soummya Kar