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We address distributed learning problems, both nonconvex and convex, over undirected networks. In particular, we design a novel algorithm based on the distributed Alternating Direction Method of Multipliers (ADMM) to address the challenges…

Machine Learning · Computer Science 2026-03-23 Xiaoxing Ren , Nicola Bastianello , Karl H. Johansson , Thomas Parisini

Federated learning has shown its advances over the last few years but is facing many challenges, such as how algorithms save communication resources, how they reduce computational costs, and whether they converge. To address these issues,…

Machine Learning · Computer Science 2022-02-01 Shenglong Zhou , Geoffrey Ye Li

We consider a distributed learning problem, where agents minimize a global objective function by exchanging information over a network. Our approach has two distinct features: (i) It substantially reduces communication by triggering…

Machine Learning · Computer Science 2025-11-20 Guner Dilsad Er , Sebastian Trimpe , Michael Muehlebach

We address nonconvex learning problems over undirected networks. In particular, we focus on the challenge of designing an algorithm that is both communication-efficient and that guarantees the privacy of the agents' data. The first goal is…

Machine Learning · Computer Science 2026-04-06 Xiaoxing Ren , Yuwen Ma , Nicola Bastianello , Karl H. Johansson , Thomas Parisini , Andreas A. Malikopoulos

This article reports an algorithm for multi-agent distributed optimization problems with a common decision variable, local linear equality and inequality constraints and set constraints with convergence rate guarantees.…

Systems and Control · Electrical Eng. & Systems 2022-11-17 Vivek Khatana , Murti V. Salapaka

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

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

Distributed optimization is a fundamental framework for collaborative inference and decision making in decentralized multi-agent systems. The operation is modeled as the joint minimization of a shared objective which typically depends on…

Optimization and Control · Mathematics 2024-08-21 Yoav Noah , Nir Shlezinger

This paper proposes and analyzes a communication-efficient distributed optimization framework for general nonconvex nonsmooth signal processing and machine learning problems under an asynchronous protocol. At each iteration, worker machines…

Optimization and Control · Mathematics 2020-07-15 Jineng Ren , Jarvis Haupt

When the data is distributed across multiple servers, lowering the communication cost between the servers (or workers) while solving the distributed learning problem is an important problem and is the focus of this paper. In particular, we…

Machine Learning · Computer Science 2020-03-25 Anis Elgabli , Jihong Park , Amrit S. Bedi , Mehdi Bennis , Vaneet Aggarwal

Decentralized learning algorithms empower interconnected devices to share data and computational resources to collaboratively train a machine learning model without the aid of a central coordinator. In the case of heterogeneous data…

Machine Learning · Computer Science 2023-01-16 Matteo Zecchin , Marios Kountouris , David Gesbert

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

Systems and Control · Computer Science 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

We consider the problem of communication efficient distributed optimization where multiple nodes exchange important algorithm information in every iteration to solve large problems. In particular, we focus on the stochastic variance-reduced…

Machine Learning · Computer Science 2020-03-16 Hossein S. Ghadikolaei , Sindri Magnusson

In this paper, we propose a novel distributed algorithm for consensus optimization over networks and a robust extension tailored to deal with asynchronous agents and packet losses. Indeed, to robustly achieve dynamic consensus on the…

Optimization and Control · Mathematics 2025-09-04 Guido Carnevale , Nicola Bastianello , Giuseppe Notarstefano , Ruggero Carli

In this paper, we design a novel distributed learning algorithm using stochastic compressed communications. In detail, we pursue a modular approach, merging ADMM and a gradient-based approach, benefiting from the robustness of the former…

Optimization and Control · Mathematics 2025-07-01 Guido Carnevale , Nicola Bastianello

In distributed optimization and federated learning, asynchronous alternating direction method of multipliers (ADMM) serves as an attractive option for large-scale optimization, data privacy, straggler nodes and variety of objective…

Machine Learning · Computer Science 2025-08-19 Sagar Shrestha

In this paper, we focus on an asynchronous distributed optimization problem. In our problem, each node is endowed with a convex local cost function, and is able to communicate with its neighbors over a directed communication network.…

Optimization and Control · Mathematics 2023-09-12 Apostolos I. Rikos , Wei Jiang , Themistoklis Charalambous , Karl H. Johansson

Machine Learning has proven useful in the recent years as a way to achieve failure prediction for industrial systems. However, the high computational resources necessary to run learning algorithms are an obstacle to its widespread…

Artificial Intelligence · Computer Science 2020-01-22 Nicolas Aussel , Sophie Chabridon , Yohan Petetin

Aiming at solving large-scale learning problems, this paper studies distributed optimization methods based on the alternating direction method of multipliers (ADMM). By formulating the learning problem as a consensus problem, the ADMM can…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-04 Tsung-Hui Chang , Mingyi Hong , Wei-Cheng Liao , Xiangfeng Wang

The recent deployment of multi-agent networks has enabled the distributed solution of learning problems, where agents cooperate to train a global model without sharing their local, private data. This work specifically targets some prevalent…

Optimization and Control · Mathematics 2024-08-20 Nicola Bastianello , Diego Deplano , Mauro Franceschelli , Karl H. Johansson
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