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Inspired by recent work of Islamov et al (2021), we propose a family of Federated Newton Learn (FedNL) methods, which we believe is a marked step in the direction of making second-order methods applicable to FL. In contrast to the…

Machine Learning · Computer Science 2022-05-24 Mher Safaryan , Rustem Islamov , Xun Qian , Peter Richtárik

We develop several new communication-efficient second-order methods for distributed optimization. Our first method, NEWTON-STAR, is a variant of Newton's method from which it inherits its fast local quadratic rate. However, unlike Newton's…

Machine Learning · Computer Science 2021-02-16 Rustem Islamov , Xun Qian , Peter Richtárik

Inspired by the recent work FedNL (Safaryan et al, FedNL: Making Newton-Type Methods Applicable to Federated Learning), we propose a new communication efficient second-order framework for Federated learning, namely FLECS. The proposed…

Optimization and Control · Mathematics 2022-06-07 Artem Agafonov , Dmitry Kamzolov , Rachael Tappenden , Alexander Gasnikov , Martin Takáč

Despite their high computation and communication costs, Newton-type methods remain an appealing option for distributed training due to their robustness against ill-conditioned convex problems. In this work, we study ommunication compression…

Machine Learning · Computer Science 2022-06-09 Rustem Islamov , Xun Qian , Slavomír Hanzely , Mher Safaryan , Peter Richtárik

We propose a communication and computation efficient second-order method for distributed optimization. For each iteration, our method only requires $\mathcal{O}(d)$ communication complexity, where $d$ is the problem dimension. We also…

Optimization and Control · Mathematics 2023-05-30 Chengchang Liu , Lesi Chen , Luo Luo , John C. S. Lui

Communication on heterogeneous edge networks is a fundamental bottleneck in Federated Learning (FL), restricting both model capacity and user participation. To address this issue, we introduce two novel strategies to reduce communication…

Machine Learning · Computer Science 2019-01-09 Sebastian Caldas , Jakub Konečny , H. Brendan McMahan , Ameet Talwalkar

Federated learning is a promising framework to mitigate data privacy and computation concerns. However, the communication cost between the server and clients has become the major bottleneck for successful deployment. Despite notable…

Machine Learning · Computer Science 2022-05-03 Yang He , Hui-Po Wang , Maximilian Zenk , Mario Fritz

Second-order federated learning (FL) algorithms offer faster convergence than their first-order counterparts by leveraging curvature information. However, they are hindered by high computational and storage costs, particularly for…

Machine Learning · Computer Science 2025-01-15 Abdulmomen Ghalkha , Chaouki Ben Issaid , Mehdi Bennis

Model compression is important in federated learning (FL) with large models to reduce communication cost. Prior works have been focusing on sparsification based compression that could desparately affect the global model accuracy. In this…

Machine Learning · Computer Science 2022-04-05 Shengyuan Hu , Jack Goetz , Kshitiz Malik , Hongyuan Zhan , Zhe Liu , Yue Liu

Federated Learning (FL) is an emerging learning framework that enables edge devices to collaboratively train ML models without sharing their local data. FL faces, however, a significant challenge due to the high amount of information that…

Machine Learning · Computer Science 2025-08-12 Mohamad Assaad , Zeinab Nehme , Merouane Debbah

Federated Learning (FL) is a promising technique for the collaborative training of deep neural networks across multiple devices while preserving data privacy. Despite its potential benefits, FL is hindered by excessive communication costs…

Machine Learning · Computer Science 2024-02-27 Vasileios Tsouvalas , Aaqib Saeed , Tanir Ozcelebi , Nirvana Meratnia

Second-order methods are widely adopted to improve the convergence rate of learning algorithms. In federated learning (FL), these methods require the clients to share their local Hessian matrices with the parameter server (PS), which comes…

Machine Learning · Computer Science 2024-12-06 Shayan Mohajer Hamidi , Ali Bereyhi , Saba Asaad , H. Vincent Poor

Newton-type methods are popular in federated learning due to their fast convergence. Still, they suffer from two main issues, namely: low communication efficiency and low privacy due to the requirement of sending Hessian information from…

Machine Learning · Computer Science 2022-06-20 Anis Elgabli , Chaouki Ben Issaid , Amrit S. Bedi , Ketan Rajawat , Mehdi Bennis , Vaneet Aggarwal

Recent developments have shown that Muon-type optimizers based on linear minimization oracles (LMOs) over non-Euclidean norm balls have the potential to get superior practical performance than Adam-type methods in the training of large…

Machine Learning · Computer Science 2026-04-14 Xun Qian , Alexander Gaponov , Grigory Malinovsky , Peter Richtárik

Second-order methods are provably faster than first-order methods, and their efficient implementations for large-scale optimization problems have attracted significant attention. Yet, optimization problems in ML often have nonsmooth…

Optimization and Control · Mathematics 2026-02-10 Amal Alphonse , Pavel Dvurechensky , Clemens Sirotenko

Deep learning involves a difficult non-convex optimization problem with a large number of weights between any two adjacent layers of a deep structure. To handle large data sets or complicated networks, distributed training is needed, but…

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

Federated learning (FL) is a promising and powerful approach for training deep learning models without sharing the raw data of clients. During the training process of FL, the central server and distributed clients need to exchange a vast…

Machine Learning · Computer Science 2021-04-27 Zhefeng Qiao , Xianghao Yu , Jun Zhang , Khaled B. Letaief

There is a growing interest in the distributed optimization framework that goes under the name of Federated Learning (FL). In particular, much attention is being turned to FL scenarios where the network is strongly heterogeneous in terms of…

Machine Learning · Computer Science 2022-09-14 Nicolò Dal Fabbro , Subhrakanti Dey , Michele Rossi , Luca Schenato

In this paper, we consider a strongly convex finite-sum minimization problem over a decentralized network and propose a communication-efficient decentralized Newton's method for solving it. We first apply dynamic average consensus (DAC) so…

Optimization and Control · Mathematics 2022-10-04 Huikang Liu , Jiaojiao Zhang , Anthony Man-Cho So , Qing Ling
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