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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 propose a unified coded framework for distributed computing with straggling servers, by introducing a tradeoff between "latency of computation" and "load of communication" for some linear computation tasks. We show that the coded scheme…

Information Theory · Computer Science 2016-10-26 Songze Li , Mohammad Ali Maddah-Ali , A. Salman Avestimehr

Deploying Convolutional Neural Networks (CNNs) on resource-constrained devices necessitates efficient management of computational resources, often via distributed environments susceptible to latency from straggler nodes. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-09-09 Shuo Tan , Rui Liu , Xuesong Han , XianLei Long , Kai Wan , Linqi Song , Yong Li

Big data, including applications with high security requirements, are often collected and stored on multiple heterogeneous devices, such as mobile devices, drones and vehicles. Due to the limitations of communication costs and security…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-05 Hao Chen , Yu Ye , Ming Xiao , Mikael Skoglund , H. Vincent Poor

With the vigorous development of artificial intelligence technology, various engineering technology applications have been implemented one after another. The gradient descent method plays an important role in solving various optimization…

Machine Learning · Computer Science 2021-04-27 Jinhuan Duan , Xianxian Li , Shiqi Gao , Jinyan Wang , Zili Zhong

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

Optimization and Control · Mathematics 2023-09-06 Xunhao Wu , Jun Fu

We consider the distributed SGD problem, where a main node distributes gradient calculations among $n$ workers. By assigning tasks to all the workers and waiting only for the $k$ fastest ones, the main node can trade-off the algorithm's…

Information Theory · Computer Science 2022-06-29 Maximilian Egger , Rawad Bitar , Antonia Wachter-Zeh , Deniz Gündüz

We present a multilevel stochastic gradient descent method for the optimal control of systems governed by partial differential equations under uncertain input data. The gradient descent method used to find the optimal control leverages a…

Optimization and Control · Mathematics 2025-06-04 Niklas Baumgarten , David Schneiderhan

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

This paper studies a distributed multi-agent convex optimization problem. The system comprises multiple agents in this problem, each with a set of local data points and an associated local cost function. The agents are connected to a…

Optimization and Control · Mathematics 2021-08-20 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

In this paper, we study the problem of distributed multi-agent optimization over a network, where each agent possesses a local cost function that is smooth and strongly convex. The global objective is to find a common solution that…

Optimization and Control · Mathematics 2019-08-02 Shi Pu , Angelia Nedić

Tensors are a fundamental operation in distributed computing, \emph{e.g.,} machine learning, that are commonly distributed into multiple parallel tasks for large datasets. Stragglers and other failures can severely impact the overall…

Information Theory · Computer Science 2024-10-30 Pedro Soto

Heterogeneous cellular networks (HCN) with embedded small cells are considered, where multiple mobile users wish to download network content of different popularity. By caching data into the small-cell base stations (SBS), we will design…

Signal Processing · Electrical Eng. & Systems 2020-03-30 Jun Li , Youjia Chen , Zihuai Lin , Wen Chen , Branka Vucetic , Lajos Hanzo

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

Information Theory · Computer Science 2021-03-22 Busra Tegin , Eduin E. Hernandez , Stefano Rini , Tolga M. Duman

It has been experimentally observed that distributed implementations of mini-batch stochastic gradient descent (SGD) algorithms exhibit speedup saturation and decaying generalization ability beyond a particular batch-size. In this work, we…

Machine Learning · Computer Science 2018-01-09 Dong Yin , Ashwin Pananjady , Max Lam , Dimitris Papailiopoulos , Kannan Ramchandran , Peter Bartlett

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-30 Albin Severinson , Eirik Rosnes , Salim El Rouayheb , Alexandre Graell i Amat

Faced with saturation of Moore's law and increasing dimension of data, system designers have increasingly resorted to parallel and distributed computing. However, distributed computing is often bottle necked by a small fraction of slow…

Information Theory · Computer Science 2017-04-19 Sanghamitra Dutta , Viveck Cadambe , Pulkit Grover

Coded computing has emerged as a promising framework for tackling significant challenges in large-scale distributed computing, including the presence of slow, faulty, or compromised servers. In this approach, each worker node processes a…

Machine Learning · Computer Science 2026-03-26 Parsa Moradi , Behrooz Tahmasebi , Mohammad Ali Maddah-Ali

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

Coded computing is a method for mitigating straggling workers in a centralized computing network, by using erasure-coding techniques. Federated learning is a decentralized model for training data distributed across client devices. In this…

Information Theory · Computer Science 2023-09-06 Neophytos Charalambides , Mert Pilanci , Alfred Hero