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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

Federated learning is a machine learning training paradigm that enables clients to jointly train models without sharing their own localized data. However, the implementation of federated learning in practice still faces numerous challenges,…

Machine Learning · Computer Science 2023-04-21 Yujia Wang , Lu Lin , Jinghui Chen

The real-time solution of parametric optimization problems is critical for applications that demand high accuracy under tight real-time constraints, such as model predictive control. To this end, this work presents a learning-based…

Machine Learning · Computer Science 2025-11-17 Lukas Lüken , Sergio Lucia

In this paper, we consider constrained optimization problems with convex, smooth objective and constraints. We propose a new stochastic gradient algorithm, called the Stochastic Moving Ball Approximation (SMBA) method, to solve this class…

Optimization and Control · Mathematics 2024-12-03 Nitesh Kumar Singh , Ion Necoara

In this paper, we present a distributed algorithm for solving convex, constraint-coupled, optimization problems over peer-to-peer networks. We consider a network of processors that aim to cooperatively minimize the sum of local cost…

Optimization and Control · Mathematics 2021-04-14 Andrea Camisa , Alessia Benevento , Giuseppe Notarstefano

We address the problem of federated learning (FL) where users are distributed and partitioned into clusters. This setup captures settings where different groups of users have their own objectives (learning tasks) but by aggregating their…

Machine Learning · Statistics 2021-06-10 Avishek Ghosh , Jichan Chung , Dong Yin , Kannan Ramchandran

This paper focuses on finding approximate solutions to stochastic optimal control problems with control domains being not necessarily convex, where the state trajectory is subject to controlled stochastic differential equations. The…

Optimization and Control · Mathematics 2025-07-15 Shaolin Ji , Rundong Xu

In practice, many machine learning (ML) problems come with constraints, and their applied domains involve distributed sensitive data that cannot be shared with others, e.g., in healthcare. Collaborative learning in such practical scenarios…

Machine Learning · Computer Science 2024-05-02 Chuan He , Le Peng , Ju Sun

Personalized Federated Learning (PFL) has witnessed remarkable advancements, enabling the development of innovative machine learning applications that preserve the privacy of training data. However, existing theoretical research in this…

In this paper we introduce a class of novel distributed algorithms for solving stochastic big-data convex optimization problems over directed graphs. In the addressed set-up, the dimension of the decision variable can be extremely high and…

Optimization and Control · Mathematics 2020-10-06 Francesco Farina , Giuseppe Notarstefano

This paper considers the Federated learning (FL) in a stochastic approximation (SA) framework. Here, each client $i$ trains a local model using its dataset $\mathcal{D}^{(i)}$ and periodically transmits the model parameters $w^{(i)}_n$ to a…

Machine Learning · Computer Science 2025-11-27 Srihari P , Anik Kumar Paul , Bharath Bhikkaji

Stochastic gradient descent type methods are ubiquitous in machine learning, but they are only applicable to the optimization of differentiable functions. Proximal algorithms are more general and applicable to nonsmooth functions. We…

Optimization and Control · Mathematics 2025-05-20 Laurent Condat , Elnur Gasanov , Peter Richtárik

This paper considers the stochastic convex composite optimization problem and presents multi-cut stochastic approximation (SA) methods for solving it, whose models in expectation overestimate its objective function. The multi-cut model…

Optimization and Control · Mathematics 2026-03-03 Jiaming Liang , Renato D. C. Monteiro , Honghao Zhang

The data-compatibility approach to constrained optimization, proposed here, strives to a point that is "close enough" to the solution set and whose target function value is "close enough" to the constrained minimum value. These notions can…

Optimization and Control · Mathematics 2020-10-26 Yair Censor , Maroun Zaknoon , Alexander J. Zaslavski

Federated Learning (FL) is a paradigm for large-scale distributed learning which faces two key challenges: (i) efficient training from highly heterogeneous user data, and (ii) protecting the privacy of participating users. In this work, we…

Machine Learning · Computer Science 2023-01-06 Maxence Noble , Aurélien Bellet , Aymeric Dieuleveut

We propose a new iteration scheme, the Cauchy-Simplex, to optimize convex problems over the probability simplex $\{w\in\mathbb{R}^n\ |\ \sum_i w_i=1\ \textrm{and}\ w_i\geq0\}$. Specifically, we map the simplex to the positive quadrant of a…

Optimization and Control · Mathematics 2025-05-22 James Chok , Geoffrey M. Vasil

This paper tackles the challenge of achieving Differential Privacy (DP) in Federated Learning (FL) under partial-participation, where only a subset of the machines participate in each time-step. While previous work achieved optimal…

Machine Learning · Computer Science 2025-06-04 Roie Reshef , Kfir Yehuda Levy

We study a hierarchical federated learning (FL) problem, where clients cooperatively seek to select among multiple optimal solutions of a primary distributed learning problem, a solution that minimizes a secondary loss function. This…

Optimization and Control · Mathematics 2026-05-26 Mohammadjavad Ebrahimi , Yuyang Qiu , Shisheng Cui , Farzad Yousefian

Federated learning (FL) has emerged as a promising paradigm for distributed machine learning, enabling collaborative training of a global model across multiple local devices without requiring them to share raw data. Despite its…

Machine Learning · Computer Science 2025-07-04 Dang Qua Nguyen , Morteza Hashemi , Erik Perrins , Sergiy A. Vorobyov , David J. Love , Taejoon Kim

Federated learning (FL) is an important technique for learning models from decentralized data in a privacy-preserving way. Existing FL methods usually uniformly sample clients for local model learning in each round. However, different…

Machine Learning · Computer Science 2023-06-27 Tao Qi , Fangzhao Wu , Lingjuan Lyu , Yongfeng Huang , Xing Xie