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This paper aims to address distributed optimization problems over directed and time-varying networks, where the global objective function consists of a sum of locally accessible convex objective functions subject to a feasible set…

Optimization and Control · Mathematics 2020-07-14 Xiuxian Li , Gang Feng , Lihua Xie

Federated learning (FL) has received a surge of interest in recent years thanks to its benefits in data privacy protection, efficient communication, and parallel data processing. Also, with appropriate algorithmic designs, one could achieve…

Machine Learning · Computer Science 2022-08-19 Xin Zhang , Minghong Fang , Zhuqing Liu , Haibo Yang , Jia Liu , Zhengyuan Zhu

This work addresses the key challenges of applying federated learning to large-scale deep neural networks, particularly the issue of client drift due to data heterogeneity across clients and the high costs of communication, computation, and…

Machine Learning · Computer Science 2025-09-08 Jiaojiao Zhang , Yuqi Xu , Kun Yuan

Federated learning (FL) is a distributed learning paradigm that allows several clients to learn a global model without sharing their private data. In this paper, we generalize a primal dual fixed point (PDFP) \cite{PDFP} method to federated…

Optimization and Control · Mathematics 2023-05-24 Ya-Nan Zhu , Jingwei Liang , Xiaoqun Zhang

We propose two variants of the Primal Dual Hybrid Gradient (PDHG) algorithm for saddle point problems with block decomposable duals, hereafter called Multi-Timescale PDHG (MT-PDHG) and its accelerated variant (AMT-PDHG). Through novel…

Optimization and Control · Mathematics 2026-04-03 Junhui Zhang , Patrick Jaillet

Traditionally, clustered federated learning groups clients with the same data distribution into a cluster, so that every client is uniquely associated with one data distribution and helps train a model for this distribution. We relax this…

Machine Learning · Computer Science 2022-03-24 Yichen Ruan , Carlee Joe-Wong

Most existing work uses dual decomposition and subgradient methods to solve Network Utility Maximization (NUM) problems in a distributed manner, which suffer from slow rate of convergence properties. This work develops an alternative…

Optimization and Control · Mathematics 2015-03-17 Ermin Wei , Asuman Ozdaglar , Ali Jadbabaie

There is a growing interest in the distributed optimization framework that goes under the name of Federated Learning (FL). In particular, much attention is being turned to FL scenarios where the network is strongly heterogeneous in terms of…

Machine Learning · Computer Science 2022-09-14 Nicolò Dal Fabbro , Subhrakanti Dey , Michele Rossi , Luca Schenato

We present a framework for asynchronously solving convex optimization problems over networks of agents which are augmented by the presence of a centralized cloud computer. This framework uses a Tikhonov-regularized primal-dual approach in…

Optimization and Control · Mathematics 2016-10-14 Matthew T. Hale , Angelia Nedich , Magnus Egerstedt

Sensitivity-based distributed programming (SBDP) is a decomposition method for solving large-scale nonlinear programs over graph-structured networks. However, its convergence depends on the strength and structure of subsystem coupling. To…

Optimization and Control · Mathematics 2026-05-20 Maximilian Pierer von Esch , Andreas Völz , Knut Graichen

Federated Learning (FL) models often experience client drift caused by heterogeneous data, where the distribution of data differs across clients. To address this issue, advanced research primarily focuses on manipulating the existing…

Machine Learning · Computer Science 2024-03-15 Zhenheng Tang , Yonggang Zhang , Shaohuai Shi , Xinmei Tian , Tongliang Liu , Bo Han , Xiaowen Chu

We study distributed optimization problems over multi-agent networks, including consensus and network flow problems. Existing distributed methods neglect the heterogeneity among agents' computational capabilities, limiting their…

Optimization and Control · Mathematics 2023-08-03 Xiaochun Niu , Ermin Wei

Federated learning harnesses the power of distributed optimization to train a unified machine learning model across separate clients. However, heterogeneous data distributions and computational workloads can lead to inconsistent updates and…

Machine Learning · Computer Science 2024-10-15 Aayushya Agarwal , Gauri Joshi , Larry Pileggi

Data heterogeneity across clients is one of the key challenges in Federated Learning (FL), which may slow down the global model convergence and even weaken global model performance. Most existing approaches tackle the heterogeneity by…

Machine Learning · Computer Science 2023-07-18 Jun Nie , Danyang Xiao , Lei Yang , Weigang Wu

In this paper, a centralized two-block separable optimization is considered for which a fully parallel primal-dual discrete-time algorithm with fixed step size is derived based on monotone operator splitting method. In this algorithm, the…

Optimization and Control · Mathematics 2020-09-30 S. Sh. Alaviani , A. G. Kelkar

The problem of minimizing a sum of local convex objective functions over a networked system captures many important applications and has received much attention in the distributed optimization field. Most of existing work focuses on…

Optimization and Control · Mathematics 2019-01-09 Fatemeh Mansoori , Ermin Wei

Personalized Federated Learning aims at addressing the challenges of non-IID data in collaborative model training. However, existing methods struggle to balance personalization and generalization, often oversimplifying client similarities…

Machine Learning · Computer Science 2025-12-03 Mattia Giovanni Campana , Franca Delmastro

Newton-type methods are popular in federated learning due to their fast convergence. Still, they suffer from two main issues, namely: low communication efficiency and low privacy due to the requirement of sending Hessian information from…

Machine Learning · Computer Science 2022-06-20 Anis Elgabli , Chaouki Ben Issaid , Amrit S. Bedi , Ketan Rajawat , Mehdi Bennis , Vaneet Aggarwal

This paper proposes a novel family of primal-dual-based distributed algorithms for smooth, convex, multi-agent optimization over networks that uses only gradient information and gossip communications. The algorithms can also employ…

Optimization and Control · Mathematics 2020-03-04 Jinming Xu , Ye Tian , Ying Sun , Gesualdo Scutari

We present and analyze a computational hybrid architecture for performing multi-agent optimization. The optimization problems under consideration have convex objective and constraint functions with mild smoothness conditions imposed on…

Optimization and Control · Mathematics 2015-08-26 Matthew T. Hale , Angelia Nedic , Magnus Egerstedt