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In this work, we revisit a classical distributed gradient-descent algorithm, introducing an interesting class of perturbed multi-agent systems. The state of each subsystem represents a local estimate of a solution to the global optimization…

Optimization and Control · Mathematics 2025-09-04 Tarek Bazizi , Mohamed Maghenem , Paolo Frasca , Antonio Lorìa , Elena Panteley

We consider a many-to-one wireless architecture for federated learning at the network edge, where multiple edge devices collaboratively train a model using local data. The unreliable nature of wireless connectivity, together with…

Networking and Internet Architecture · Computer Science 2021-02-17 Junshan Zhang , Na Li , Mehmet Dedeoglu

Gradient quantization is an emerging technique in reducing communication costs in distributed learning. Existing gradient quantization algorithms often rely on engineering heuristics or empirical observations, lacking a systematic approach…

Machine Learning · Computer Science 2021-08-02 Guangfeng Yan , Shao-Lun Huang , Tian Lan , Linqi Song

Multilayer networks provide a more comprehensive framework for exploring real-world and engineering systems than traditional single-layer networks, consisting of multiple interacting networks. However, despite significant research in…

Optimization and Control · Mathematics 2024-11-12 C. D. Rodríguez-Camargo , A. F. Urquijo-Rodríguez , E. A. Mojica-Nava

ADMM is a popular algorithm for solving convex optimization problems. Applying this algorithm to distributed consensus optimization problem results in a fully distributed iterative solution which relies on processing at the nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-17 Layla Majzoobi , Farshad Lahouti

This paper considers decentralized optimization with application to machine learning on graphs. The growing size of neural network (NN) models has motivated prior works on decentralized stochastic gradient algorithms to incorporate…

Optimization and Control · Mathematics 2021-10-12 Arjun Ashok Rao , Hoi-To Wai

Since the initial proposal in the late 80s, spectral gradient methods continue to receive significant attention, especially due to their excellent numerical performance on various large scale applications. However, to date, they have not…

Optimization and Control · Mathematics 2019-01-18 Dusan Jakovetic , Natasa Krejic , Natasa Krklec Jerinkic

We investigate the problem of agent-to-agent interaction in decentralized (federated) learning over time-varying directed graphs, and, in doing so, propose a consensus-based algorithm called DSGTm-TV. The proposed algorithm incorporates…

Optimization and Control · Mathematics 2024-09-27 Duong Thuy Anh Nguyen , Su Wang , Duong Tung Nguyen , Angelia Nedich , H. Vincent Poor

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

Motivated by machine learning applications in networks of sensors, internet-of-things (IoT) devices, and autonomous agents, we propose techniques for distributed stochastic convex learning from high-rate data streams. The setup involves a…

Machine Learning · Statistics 2019-06-11 Matthew Nokleby , Waheed U. Bajwa

We present a distributed conjugate gradient method for distributed optimization problems, where each agent computes an optimal solution of the problem locally without any central computation or coordination, while communicating with its…

Optimization and Control · Mathematics 2024-02-27 Ola Shorinwa , Mac Schwager

Stochastic gradient descent (SGD) algorithm and its variations have been effectively used to optimize neural network models. However, with the rapid growth of big data and deep learning, SGD is no longer the most suitable choice due to its…

Machine Learning · Computer Science 2024-02-13 Anuraganand Sharma

Highly distributed training of Deep Neural Networks (DNNs) on future compute platforms (offering 100 of TeraOps/s of computational capacity) is expected to be severely communication constrained. To overcome this limitation, new gradient…

Machine Learning · Computer Science 2017-12-08 Chia-Yu Chen , Jungwook Choi , Daniel Brand , Ankur Agrawal , Wei Zhang , Kailash Gopalakrishnan

In this paper, we propose Distributed Mirror Descent (DMD) algorithm for constrained convex optimization problems on a (strongly-)connected multi-agent network. We assume that each agent has a private objective function and a constraint…

Optimization and Control · Mathematics 2015-04-28 Chenguang Xi , Qiong Wu , Usman A. Khan

In this paper, we study unconstrained distributed optimization strongly convex problems, in which the exchange of information in the network is captured by a directed graph topology over digital channels that have limited capacity (and…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Training generative adversarial networks (GAN) in a distributed fashion is a promising technology since it is contributed to training GAN on a massive of data efficiently in real-world applications. However, GAN is known to be difficult to…

Machine Learning · Computer Science 2020-10-27 Xiaojun Chen , Shu Yang , Li Shen , Xuanrong Pang

In this paper, we consider a distributed constrained optimization problem with delayed subgradient information over the time-varying communication network, where each agent can only communicate with its neighbors and the communication…

Optimization and Control · Mathematics 2021-06-16 Jie Liu , Zhan Yu , Daniel W. C. Ho

Parallel implementations of stochastic gradient descent (SGD) have received significant research attention, thanks to excellent scalability properties of this algorithm, and to its efficiency in the context of training deep neural networks.…

Machine Learning · Computer Science 2017-12-07 Dan Alistarh , Demjan Grubic , Jerry Li , Ryota Tomioka , Milan Vojnovic

We consider the problem of decentralized consensus optimization, where the sum of $n$ smooth and strongly convex functions are minimized over $n$ distributed agents that form a connected network. In particular, we consider the case that the…

Machine Learning · Computer Science 2019-10-02 Amirhossein Reisizadeh , Aryan Mokhtari , Hamed Hassani , Ramtin Pedarsani

Although the distributed machine learning methods can speed up the training of large deep neural networks, the communication cost has become the non-negligible bottleneck to constrain the performance. To address this challenge, the gradient…

Machine Learning · Computer Science 2022-01-25 An Xu , Zhouyuan Huo , Heng Huang
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