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This paper presents a family of algorithms for decentralized convex composite problems. We consider the setting of a network of agents that cooperatively minimize a global objective function composed of a sum of local functions plus a…

Optimization and Control · Mathematics 2023-02-14 Yichuan Li , Petros G. Voulgaris , Dusan M. Stipanovic , Nikolaos M. Freris

Federated Learning (FL) is a nascent decentralized learning framework under which a massive collection of heterogeneous clients collaboratively train a model without revealing their local data. Scarce communication, privacy leakage, and…

Machine Learning · Computer Science 2023-02-21 Ming Xiang , Lili Su

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

Optimization and Control · Mathematics 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin

We study decentralized asynchronous multiagent optimization over networks, modeled as static (possibly directed) graphs. The optimization problem consists of minimizing a (possibly nonconvex) smooth function--the sum of the agents' local…

Optimization and Control · Mathematics 2020-02-03 Ye Tian , Ying Sun , Gesualdo Scutari

Despite the growing prominence of generative adversarial networks (GANs), optimization in GANs is still a poorly understood topic. In this paper, we analyze the "gradient descent" form of GAN optimization i.e., the natural setting where we…

Machine Learning · Computer Science 2018-01-16 Vaishnavh Nagarajan , J. Zico Kolter

Federated learning has shown its advances recently but is still facing many challenges, such as how algorithms save communication resources and reduce computational costs, and whether they converge. To address these critical issues, we…

Machine Learning · Computer Science 2024-04-22 Shenglong Zhou , Geoffrey Ye Li

This paper deals with an optimization problem over a network of agents, where the cost function is the sum of the individual objectives of the agents and the constraint set is the intersection of local constraints. Most existing methods…

Optimization and Control · Mathematics 2018-06-20 Van Sy Mai , Eyad H. Abed

Many modern large-scale machine learning problems benefit from decentralized and stochastic optimization. Recent works have shown that utilizing both decentralized computing and local stochastic gradient estimates can outperform…

Optimization and Control · Mathematics 2020-11-06 Haoran Sun , Songtao Lu , Mingyi Hong

In this paper, we propose an energy-efficient federated meta-learning framework. The objective is to enable learning a meta-model that can be fine-tuned to a new task with a few number of samples in a distributed setting and at low…

Machine Learning · Computer Science 2021-06-01 Anis Elgabli , Chaouki Ben Issaid , Amrit S. Bedi , Mehdi Bennis , Vaneet Aggarwal

Different federated optimization algorithms typically employ distinct client-selection strategies: some methods communicate only with a randomly sampled subset of clients at each round, while others need to periodically communicate with all…

Machine Learning · Computer Science 2025-12-08 Xiaowen Jiang , Anton Rodomanov , Sebastian U. Stich

Despite the established convergence theory of Optimistic Gradient Descent Ascent (OGDA) and Extragradient (EG) methods for the convex-concave minimax problems, little is known about the theoretical guarantees of these methods in nonconvex…

Machine Learning · Computer Science 2022-10-19 Pouria Mahdavinia , Yuyang Deng , Haochuan Li , Mehrdad Mahdavi

Consensus optimization enables autonomous agents to solve joint tasks through peer-to-peer exchanges alone. Classical decentralized gradient descent is appealing for its minimal state but fails to achieve exact consensus with fixed…

Optimization and Control · Mathematics 2025-12-02 Hong Wang

Federated learning is an emerging distributed machine learning framework which jointly trains a global model via a large number of local devices with data privacy protections. Its performance suffers from the non-vanishing biases introduced…

Machine Learning · Computer Science 2023-07-06 Yan Sun , Li Shen , Tiansheng Huang , Liang Ding , Dacheng Tao

We study diffusion and consensus based optimization of a sum of unknown convex objective functions over distributed networks. The only access to these functions is through stochastic gradient oracles, each of which is only available at a…

Numerical Analysis · Computer Science 2015-09-01 N. Denizcan Vanli , Muhammed O. Sayin , Suleyman S. Kozat

Communication efficiency is a major bottleneck in the applications of distributed networks. To address the problem, the problem of quantized distributed optimization has attracted a lot of attention. However, most of the existing quantized…

Optimization and Control · Mathematics 2022-11-01 Yongyang Xiong , Ligang Wu , Keyou You , Lihua Xie

We study $\textit{gradient descent}$ (GD) for logistic regression on linearly separable data with stepsizes that adapt to the current risk, scaled by a constant hyperparameter $\eta$. We show that after at most $1/\gamma^2$ burn-in steps,…

Machine Learning · Statistics 2025-04-21 Ruiqi Zhang , Jingfeng Wu , Licong Lin , Peter L. Bartlett

We study a class of distributed optimization algorithms that aim to alleviate high communication costs by allowing clients to perform multiple local gradient-type training steps before communication. In a recent breakthrough, Mishchenko et…

Machine Learning · Computer Science 2025-06-11 Artavazd Maranjyan , Mher Safaryan , Peter Richtárik

This work investigates fault-resilient federated learning when the data samples are non-uniformly distributed across workers, and the number of faulty workers is unknown to the central server. In the presence of adversarially faulty workers…

Machine Learning · Computer Science 2020-08-20 Yanjie Dong , Georgios B. Giannakis , Tianyi Chen , Julian Cheng , Md. Jahangir Hossain , Victor C. M. Leung

Multi-objective optimization (MOO) is receiving more attention in various fields such as multi-task learning. Recent works provide some effective algorithms with theoretical analysis but they are limited by the standard $L$-smooth or…

Machine Learning · Computer Science 2025-03-11 Qi Zhang , Peiyao Xiao , Shaofeng Zou , Kaiyi Ji

Generative adversarial networks (GANs) learn the distribution of observed samples through a zero-sum game between two machine players, a generator and a discriminator. While GANs achieve great success in learning the complex distribution of…

Machine Learning · Computer Science 2020-06-19 Farzan Farnia , William Wang , Subhro Das , Ali Jadbabaie