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Distributed optimization often consists of two updating phases: local optimization and inter-node communication. Conventional approaches require working nodes to communicate with the server every one or few iterations to guarantee…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-17 Chi Zhang , Qianxiao Li

Federated learning describes the distributed training of models across multiple clients while keeping the data private on-device. In this work, we view the server-orchestrated federated learning process as a hierarchical latent variable…

Machine Learning · Computer Science 2021-11-22 Christos Louizos , Matthias Reisser , Joseph Soriaga , Max Welling

The split common fixed-point problem is an inverse problem that consists in finding an element in a fixed-point set such that its image under a bounded linear operator belongs to another fixed-point set. Recently Censor and Segal proposed…

Optimization and Control · Mathematics 2014-11-03 Huanhuan Cui , Fenghui Wang

Convex nonsmooth optimization problems, whose solutions live in very high dimensional spaces, have become ubiquitous. To solve them, the class of first-order algorithms known as proximal splitting algorithms is particularly adequate: they…

Optimization and Control · Mathematics 2023-02-27 Laurent Condat , Daichi Kitahara , Andrés Contreras , Akira Hirabayashi

We consider federated learning (FL), where the training data is distributed across a large number of clients. The standard optimization method in this setting is Federated Averaging (FedAvg), which performs multiple local first-order…

Machine Learning · Computer Science 2021-09-07 Sebastian Bischoff , Stephan Günnemann , Martin Jaggi , Sebastian U. Stich

This paper considers continuous-time coordination algorithms for networks of agents that seek to collectively solve a general class of nonsmooth convex optimization problems with an inherent distributed structure. Our algorithm design…

Optimization and Control · Mathematics 2017-05-17 Simon K. Niederländer , Jorge Cortés

Federated Learning (FL) is an emerging framework for distributed processing of large data volumes by edge devices subject to limited communication bandwidths, heterogeneity in data distributions and computational resources, as well as…

Machine Learning · Computer Science 2022-04-11 Yonghai Gong , Yichuan Li , Nikolaos M. Freris

Many problems arising in image processing and signal recovery with multi-regularization can be formulated as minimization of a sum of three convex separable functions. Typically, the objective function involves a smooth function with…

Optimization and Control · Mathematics 2016-01-01 Peijun Chen , Jianguo Huang , Xiaoqun Zhang

In this paper we consider a general, challenging distributed optimization set-up arising in several important network control applications. Agents of a network want to minimize the sum of local cost functions, each one depending on a local…

Systems and Control · Computer Science 2018-06-15 Ivano Notarnicola , Giuseppe Notarstefano

In this paper we consider a distributed optimization scenario in which a set of processors aims at minimizing the maximum of a collection of "separable convex functions" subject to local constraints. This set-up is motivated by peak-demand…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-03-27 Ivano Notarnicola , Mauro Franceschelli , Giuseppe Notarstefano

This paper studies the application of the blended dynamics approach towards distributed optimization problem where the global cost function is given by a sum of local cost functions. The benefits include (i) individual cost function need…

Optimization and Control · Mathematics 2021-02-26 Seungjoon Lee , Hyungbo Shim

In this paper we propose an efficient distributed algorithm for solving loosely coupled convex optimization problems. The algorithm is based on a primal-dual interior-point method in which we use the alternating direction method of…

Optimization and Control · Mathematics 2015-02-10 Mariette Annergren , Sina Khoshfetrat Pakazad , Anders Hansson , Bo Wahlberg

In this paper we consider a novel partitioned framework for distributed optimization in peer-to-peer networks. In several important applications the agents of a network have to solve an optimization problem with two key features: (i) the…

Systems and Control · Computer Science 2018-05-23 Ivano Notarnicola , Ruggero Carli , Giuseppe Notarstefano

In this paper, the distributed resource allocation optimization problem is investigated. The allocation decisions are made to minimize the sum of all the agents' local objective functions while satisfying both the global network resource…

Optimization and Control · Mathematics 2017-04-11 Peng Yi , Yiguang Hong , Feng Liu

In this paper, we present novel randomized algorithms for solving saddle point problems whose dual feasible region is given by the direct product of many convex sets. Our algorithms can achieve an ${\cal O}(1/N)$ and ${\cal O}(1/N^2)$ rate…

Optimization and Control · Mathematics 2015-11-16 Cong Dang , Guanghui Lan

Federated Learning (FL) facilitates collaborative training of a global model whose performance is boosted by private data owned by distributed clients, without compromising data privacy. Yet the wide applicability of FL is hindered by…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-31 Xinyuan Zhao , Hanlin Gu , Lixin Fan , Yuxing Han , Qiang Yang

The minimax problems arise throughout machine learning applications, ranging from adversarial training and policy evaluation in reinforcement learning to AUROC maximization. To address the large-scale data challenges across multiple clients…

Machine Learning · Computer Science 2023-10-06 Xidong Wu , Jianhui Sun , Zhengmian Hu , Aidong Zhang , Heng Huang

This paper considers distributed nonconvex optimization with the cost functions being distributed over agents. Noting that information compression is a key tool to reduce the heavy communication load for distributed algorithms as agents…

Optimization and Control · Mathematics 2022-10-10 Xinlei Yi , Shengjun Zhang , Tao Yang , Tianyou Chai , Karl H. Johansson

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

In this paper, we study the decentralized optimization problem of minimizing a finite sum of continuously differentiable and possibly nonconvex functions over a fixed-connected undirected network. We propose a unified decentralized…

Optimization and Control · Mathematics 2026-04-14 Hao Wu , Liping Wang