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Federated Learning (FL) has become a popular paradigm for learning from distributed data. To effectively utilize data at different devices without moving them to the cloud, algorithms such as the Federated Averaging (FedAvg) have adopted a…

Machine Learning · Computer Science 2021-11-24 Xinwei Zhang , Mingyi Hong , Sairaj Dhople , Wotao Yin , Yang Liu

Motivated by collaborative reinforcement learning (RL) and optimization with time-correlated data, we study a generic federated stochastic approximation problem involving $M$ agents, where each agent is characterized by an agent-specific…

Machine Learning · Computer Science 2025-04-17 Feng Zhu , Aritra Mitra , Robert W. Heath

Federated learning (FL) has emerged as a communication-efficient algorithmic framework for distributed learning across multiple agents. While standard FL formulations capture unconstrained or globally constrained problems, many practical…

Machine Learning · Computer Science 2026-03-23 Mohammadjavad Ebrahimi , Daniel Burbano , Farzad Yousefian

Adaptive moment estimation (Adam), as a Stochastic Gradient Descent (SGD) variant, has gained widespread popularity in federated learning (FL) due to its fast convergence. However, federated Adam (FedAdam) algorithms suffer from a threefold…

Machine Learning · Computer Science 2025-09-22 Xiumei Deng , Jun Li , Kang Wei , Long Shi , Zehui Xiong , Ming Ding , Wen Chen , Shi Jin , H. Vincent Poor

Local stochastic gradient descent (Local-SGD), also referred to as federated averaging, is an approach to distributed optimization where each device performs more than one SGD update per communication. This work presents an empirical study…

Stochastic approximation with multiple coupled sequences (MSA) has found broad applications in machine learning as it encompasses a rich class of problems including bilevel optimization (BLO), multi-level compositional optimization (MCO),…

Machine Learning · Computer Science 2023-06-05 Davoud Ataee Tarzanagh , Mingchen Li , Pranay Sharma , Samet Oymak

Delays and asynchrony are inevitable in large-scale machine-learning problems where communication plays a key role. As such, several works have extensively analyzed stochastic optimization with delayed gradients. However, as far as we are…

Machine Learning · Computer Science 2023-08-28 Arman Adibi , Aritra Mitra , Hamed Hassani

We present a distributed proximal-gradient method for optimizing the average of convex functions, each of which is the private local objective of an agent in a network with time-varying topology. The local objectives have distinct…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-10-09 Annie I. Chen , Asuman Ozdaglar

We introduce a new analytic framework to analyze the convergence of the Randomized Stochastic Gradient Descent Ascent (RSGDA) algorithm for stochastic minimax optimization problems. Under the so-called NC-PL condition on one of the…

Optimization and Control · Mathematics 2023-07-27 Zehua Liu , Zenan Li , Xiaoming Yuan , Yuan Yao

We study distributed big-data nonconvex optimization in multi-agent networks. We consider the (constrained) minimization of the sum of a smooth (possibly) nonconvex function, i.e., the agents' sum-utility, plus a convex (possibly) nonsmooth…

Optimization and Control · Mathematics 2018-09-03 Ivano Notarnicola , Ying Sun , Gesualdo Scutari , Giuseppe Notarstefano

Federated learning is an increasingly popular paradigm that enables a large number of entities to collaboratively learn better models. In this work, we study minimax group fairness in federated learning scenarios where different…

Machine Learning · Computer Science 2022-07-14 Afroditi Papadaki , Natalia Martinez , Martin Bertran , Guillermo Sapiro , Miguel Rodrigues

We consider a multi-agent framework for distributed optimization where each agent has access to a local smooth strongly convex function, and the collective goal is to achieve consensus on the parameters that minimize the sum of the agents'…

Multiagent Systems · Computer Science 2020-04-23 Mahmoud Assran , Michael Rabbat

Training neural networks that require adversarial optimization, such as generative adversarial networks (GANs) and unsupervised domain adaptations (UDAs), suffers from instability. This instability problem comes from the difficulty of the…

Machine Learning · Statistics 2023-12-05 Takashi Furuya , Satoshi Okuda , Kazuma Suetake , Yoshihide Sawada

The distributed subgradient method (DSG) is a widely discussed algorithm to cope with large-scale distributed optimization problems in the arising machine learning applications. Most exisiting works on DSG focus on ideal communication…

Signal Processing · Electrical Eng. & Systems 2022-08-24 Zhaoyue Xia , Jun Du , Yong Ren

Minimax optimization recently is widely applied in many machine learning tasks such as generative adversarial networks, robust learning and reinforcement learning. In the paper, we study a class of nonconvex-nonconcave minimax optimization…

Optimization and Control · Mathematics 2025-04-23 Feihu Huang , Chunyu Xuan , Xinrui Wang , Siqi Zhang , Songcan Chen

In federated learning (FL), model training performance is strongly impacted by data heterogeneity across clients. Client-drift compensation methods have recently emerged as a solution to this issue, introducing correction terms into local…

Machine Learning · Computer Science 2025-05-20 Evan Chen , Shiqiang Wang , Jianing Zhang , Dong-Jun Han , Chaoyue Liu , Christopher Brinton

A generalized conditional gradient method for minimizing the sum of two convex functions, one of them differentiable, is presented. This iterative method relies on two main ingredients: First, the minimization of a partially linearized…

Optimization and Control · Mathematics 2021-10-01 Karl Kunisch , Daniel Walter

In this paper, we propose a communication-efficiently decentralized machine learning framework that solves a consensus optimization problem defined over a network of inter-connected workers. The proposed algorithm, Censored and Quantized…

Machine Learning · Computer Science 2021-01-13 Chaouki Ben Issaid , Anis Elgabli , Jihong Park , Mehdi Bennis , Mérouane Debbah

We propose a novel framework to study asynchronous federated learning optimization with delays in gradient updates. Our theoretical framework extends the standard FedAvg aggregation scheme by introducing stochastic aggregation weights to…

Machine Learning · Computer Science 2022-06-22 Yann Fraboni , Richard Vidal , Laetitia Kameni , Marco Lorenzi

Federated learning has emerged as a promising, massively distributed way to train a joint deep model over large amounts of edge devices while keeping private user data strictly on device. In this work, motivated from ensuring fairness among…

Machine Learning · Computer Science 2023-01-25 Zeou Hu , Kiarash Shaloudegi , Guojun Zhang , Yaoliang Yu
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