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Federated learning has emerged in the last decade as a distributed optimization paradigm due to the rapidly increasing number of portable devices able to support the heavy computational needs related to the training of machine learning…

Machine Learning · Computer Science 2024-10-10 Emanuel Buttaci , Giuseppe Carlo Calafiore

In this paper, we study stochastic non-convex optimization with non-convex random functions. Recent studies on non-convex optimization revolve around establishing second-order convergence, i.e., converging to a nearly second-order optimal…

Optimization and Control · Mathematics 2017-11-02 Mingrui Liu , Tianbao Yang

This paper explores second-order optimization methods in Federated Learning (FL), addressing the critical challenges of slow convergence and the excessive communication rounds required to achieve optimal performance from the global model.…

Machine Learning · Computer Science 2025-05-30 Mrinmay Sen , Sidhant R Nair , C Krishna Mohan

Stochastic compositional optimization generalizes classic (non-compositional) stochastic optimization to the minimization of compositions of functions. Each composition may introduce an additional expectation. The series of expectations may…

Optimization and Control · Mathematics 2021-09-29 Tianyi Chen , Yuejiao Sun , Wotao Yin

Federated Learning (FL) is currently the most widely adopted framework for collaborative training of (deep) machine learning models under privacy constraints. Albeit it's popularity, it has been observed that Federated Learning yields…

Machine Learning · Computer Science 2019-10-07 Felix Sattler , Klaus-Robert Müller , Wojciech Samek

We present two stochastic descent algorithms that apply to unconstrained optimization and are particularly efficient when the objective function is slow to evaluate and gradients are not easily obtained, as in some PDE-constrained…

Optimization and Control · Mathematics 2019-04-30 David Kozak , Stephen Becker , Alireza Doostan , Luis Tenorio

This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the context of machine learning applications. Through case studies on text classification and the training of deep neural…

Machine Learning · Statistics 2018-02-12 Léon Bottou , Frank E. Curtis , Jorge Nocedal

Federated Learning (FL) is a distributed machine learning approach where multiple clients work together to solve a machine learning task. One of the key challenges in FL is the issue of partial participation, which occurs when a large…

Machine Learning · Computer Science 2023-03-01 Grigory Malinovsky , Samuel Horváth , Konstantin Burlachenko , Peter Richtárik

In this work, we consider constrained stochastic optimization problems under hidden convexity, i.e., those that admit a convex reformulation via non-linear (but invertible) map $c(\cdot)$. A number of non-convex problems ranging from…

Optimization and Control · Mathematics 2024-11-12 Ilyas Fatkhullin , Niao He , Yifan Hu

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…

We consider the problem of federated learning in a one-shot setting in which there are $m$ machines, each observing $n$ sample functions from an unknown distribution on non-convex loss functions. Let $F:[-1,1]^d\to\mathbb{R}$ be the…

Machine Learning · Computer Science 2024-02-07 Arsalan Sharifnassab , Saber Salehkaleybar , S. Jamaloddin Golestani

We propose two novel conditional gradient-based methods for solving structured stochastic convex optimization problems with a large number of linear constraints. Instances of this template naturally arise from SDP-relaxations of…

Machine Learning · Computer Science 2020-07-09 Maria-Luiza Vladarean , Ahmet Alacaoglu , Ya-Ping Hsieh , Volkan Cevher

A novel machine learning optimization process coined Restrictive Federated Model Selection (RFMS) is proposed under the scenario, for example, when data from healthcare units can not leave the site it is situated on and it is forbidden to…

Machine Learning · Computer Science 2019-08-12 Xudong Sun , Andrea Bommert , Florian Pfisterer , Jörg Rahnenführer , Michel Lang , Bernd Bischl

Federated Learning (FL) enables distributed model training on edge devices while preserving data privacy. However, clients tend to have non-Independent and Identically Distributed (non-IID) data, which often leads to client-drift, and…

Machine Learning · Computer Science 2026-02-23 Fotios Zantalis , Evangelos Zervas , Grigorios Koulouras

Federated Learning (FL) is a decentralized machine learning framework that enables collaborative model training while respecting data privacy. In various applications, non-uniform availability or participation of users is unavoidable due to…

Machine Learning · Computer Science 2023-09-26 Periklis Theodoropoulos , Konstantinos E. Nikolakakis , Dionysis Kalogerias

In this paper, we investigate unconstrained and constrained sample-based federated optimization, respectively. For each problem, we propose a privacy preserving algorithm using stochastic successive convex approximation (SSCA) techniques,…

Machine Learning · Computer Science 2021-03-18 Chencheng Ye , Ying Cui

Federated learning allows loads of edge computing devices to collaboratively learn a global model without data sharing. The analysis with partial device participation under non-IID and unbalanced data reflects more reality. In this work, we…

Machine Learning · Computer Science 2020-12-23 Qianqian Tong , Guannan Liang , Jinbo Bi

This paper studies a new latency optimization problem in unmanned aerial vehicles (UAVs)-enabled federated learning (FL) with integrated sensing and communication. In this setup, distributed UAVs participate in model training using sensed…

Information Theory · Computer Science 2024-11-15 Shaba Shaon , Tien Nguyen , Lina Mohjazi , Aryan Kaushik , Dinh C. Nguyen

Federated learning faces challenges due to the heterogeneity in data volumes and distributions at different clients, which can compromise model generalization ability to various distributions. Existing approaches to address this issue based…

Machine Learning · Computer Science 2024-11-13 Zhishuai Guo , Tianbao Yang

This paper studies a compressed momentum-based single-point zeroth-order algorithm for stochastic distributed nonconvex optimization, aiming to alleviate communication overhead and address the unavailability of explicit gradient…

Optimization and Control · Mathematics 2026-05-12 Linjing Chen , Antai Xie , Xinlei Yi , Xiaoqiang Ren , Xiaofan Wang
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