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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

Coded computation is a method to mitigate "stragglers" in distributed computing systems through the use of error correction coding that has lately received significant attention. First used in vector-matrix multiplication, the range of…

Information Theory · Computer Science 2018-06-28 Nuwan Ferdinand , Stark Draper

Inexpensive cloud services, such as serverless computing, are often vulnerable to straggling nodes that increase end-to-end latency for distributed computation. We propose and implement simple yet principled approaches for straggler…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-22 Vipul Gupta , Dominic Carrano , Yaoqing Yang , Vaishaal Shankar , Thomas Courtade , Kannan Ramchandran

Conventional gradient descent methods compute the gradients for multiple variables through the partial derivative. Treating the coupled variables independently while ignoring the interaction, however, leads to an insufficient optimization…

Machine Learning · Computer Science 2021-06-22 Runqi Wang , Baochang Zhang , Li'an Zhuo , Qixiang Ye , David Doermann

We generalize the leverage score sampling sketch for $\ell_2$-subspace embeddings, to accommodate sampling subsets of the transformed data, so that the sketching approach is appropriate for distributed settings. This is then used to derive…

Information Theory · Computer Science 2024-06-27 Neophytos Charalambides , Mert Pilanci , Alfred Hero

In this paper, a projected primal-dual gradient flow of augmented Lagrangian is presented to solve convex optimization problems that are not necessarily strictly convex. The optimization variables are restricted by a convex set with…

Optimization and Control · Mathematics 2018-10-31 Han Zhang , Jieqiang Wei , Peng Yi , Xiaoming Hu

We study distributed optimization problems over a network when the communication between the nodes is constrained, and so information that is exchanged between the nodes must be quantized. This imperfect communication poses a fundamental…

Optimization and Control · Mathematics 2018-10-30 Thinh T. Doan , Siva Theja Maguluri , Justin Romberg

Gradient descent (GD) methods are commonly employed in machine learning problems to optimize the parameters of the model in an iterative fashion. For problems with massive datasets, computations are distributed to many parallel computing…

Information Theory · Computer Science 2019-03-06 Emre Ozfatura , Deniz Gunduz , Sennur Ulukus

Large-scale machine learning and data mining methods routinely distribute computations across multiple agents to parallelize processing. The time required for the computations at the agents is affected by the availability of local resources…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-28 Busra Tegin , Eduin. E. Hernandez , Stefano Rini , Tolga M. Duman

Deep learning systems are optimized for clusters with homogeneous resources. However, heterogeneity is prevalent in computing infrastructure across edge, cloud and HPC. When training neural networks using stochastic gradient descent…

Machine Learning · Computer Science 2025-03-25 Sahil Tyagi , Prateek Sharma

In this paper, we study the implicit regularization of the gradient descent algorithm in homogeneous neural networks, including fully-connected and convolutional neural networks with ReLU or LeakyReLU activations. In particular, we study…

Machine Learning · Computer Science 2021-01-01 Kaifeng Lyu , Jian Li

Stragglers' effects are known to degrade FL performance. In this paper, we investigate federated learning (FL) over wireless networks in the presence of communication stragglers, where the power-constrained clients collaboratively train a…

Signal Processing · Electrical Eng. & Systems 2024-08-09 Shudi Weng , Chengxi Li , Ming Xiao , Mikael Skoglund

We consider a decentralized learning problem, where a set of computing nodes aim at solving a non-convex optimization problem collaboratively. It is well-known that decentralized optimization schemes face two major system bottlenecks:…

Machine Learning · Computer Science 2019-11-04 Amirhossein Reisizadeh , Hossein Taheri , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

To improve the utility of learning applications and render machine learning solutions feasible for complex applications, a substantial amount of heavy computations is needed. Thus, it is essential to delegate the computations among several…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-29 Homa Esfahanizadeh , Alejandro Cohen , Muriel Medard

The emerging large-scale and data-hungry algorithms require the computations to be delegated from a central server to several worker nodes. One major challenge in the distributed computations is to tackle delays and failures caused by the…

Information Theory · Computer Science 2021-03-03 Alejandro Cohen , Guillaume Thiran , Homa Esfahanizadeh , Muriel Médard

We consider distributed optimization where the objective function is spread among different devices, each sending incremental model updates to a central server. To alleviate the communication bottleneck, recent work proposed various schemes…

Optimization and Control · Mathematics 2019-04-11 Samuel Horváth , Dmitry Kovalev , Konstantin Mishchenko , Sebastian Stich , Peter Richtárik

This paper considers a distributed stochastic non-convex optimization problem, where the nodes in a network cooperatively minimize a sum of $L$-smooth local cost functions with sparse gradients. By adaptively adjusting the stepsizes…

Optimization and Control · Mathematics 2024-04-01 Dongyu Han , Kun Liu , Yeming Lin , Yuanqing Xia

Coded computation can be used to speed up distributed learning in the presence of straggling workers. Partial recovery of the gradient vector can further reduce the computation time at each iteration; however, this can result in biased…

Information Theory · Computer Science 2020-06-03 Emre Ozfatura , Baturalp Buyukates , Deniz Gunduz , Sennur Ulukus

We formulate an optimization problem for maximizing the data rate of a common message transmitted from nodes within an airborne network broadcast to a central station receiver while maintaining a set of intra-network rate demands. Assuming…

Optimization and Control · Mathematics 2017-06-08 Theodoros Tsiligkaridis

The increasing complexity of deep learning models and the demand for processing vast amounts of data make the utilization of large-scale distributed systems for efficient training essential. These systems, however, face significant…

Machine Learning · Computer Science 2024-09-17 Yuesheng Xu , Arielle Carr