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We revisit the classical Local SGD and Federated Averaging (FedAvg) methods for distributed optimization and federated learning. While prior work has primarily focused on iteration complexity, we analyze these methods through the lens of…

Optimization and Control · Mathematics 2025-09-30 Adrien Fradin , Peter Richtárik , Alexander Tyurin

Text summarization is essential for information aggregation and demands large amounts of training data. However, concerns about data privacy and security limit data collection and model training. To eliminate this concern, we propose a…

Artificial Intelligence · Computer Science 2023-04-25 Rongfeng Pan , Jianzong Wang , Lingwei Kong , Zhangcheng Huang , Jing Xiao

Federated learning is a distributed machine learning approach in which a single server and multiple clients collaboratively build machine learning models without sharing datasets on clients. A challenging issue of federated learning is data…

Machine Learning · Computer Science 2022-06-28 Koji Matsuda , Yuya Sasaki , Chuan Xiao , Makoto Onizuka

In the context of Federated Learning with heterogeneous data environments, local models tend to converge to their own local model optima during local training steps, deviating from the overall data distributions. Aggregation of these local…

Machine Learning · Computer Science 2025-10-29 Mortesa Hussaini , Jan Theiß , Anthony Stein

Federated Averaging (FedAvg, also known as Local-SGD) (McMahan et al., 2017) is a classical federated learning algorithm in which clients run multiple local SGD steps before communicating their update to an orchestrating server. We propose…

Machine Learning · Computer Science 2021-08-11 Haoyu Zhao , Zhize Li , Peter Richtárik

Federated learning is a method of training models on private data distributed over multiple devices. To keep device data private, the global model is trained by only communicating parameters and updates which poses scalability challenges…

Federated Learning (FL) has been becoming a popular interdisciplinary research area in both applied mathematics and information sciences. Mathematically, FL aims to collaboratively optimize aggregate objective functions over distributed…

Machine Learning · Computer Science 2024-12-03 Shusen Yang , Fangyuan Zhao , Zihao Zhou , Liang Shi , Xuebin Ren , Zongben Xu

Federated learning is a popular distributed and privacy-preserving learning paradigm in machine learning. Recently, some federated learning algorithms have been proposed to solve the distributed minimax problems. However, these federated…

Machine Learning · Computer Science 2024-03-01 Feihu Huang , Xinrui Wang , Junyi Li , Songcan Chen

Most algorithms for solving optimization problems or finding saddle points of convex-concave functions are fixed-point algorithms. In this work we consider the generic problem of finding a fixed point of an average of operators, or an…

Machine Learning · Computer Science 2020-06-17 Grigory Malinovsky , Dmitry Kovalev , Elnur Gasanov , Laurent Condat , Peter Richtárik

Federated learning is an emerging distributed machine learning framework aiming at protecting data privacy. Data heterogeneity is one of the core challenges in federated learning, which could severely degrade the convergence rate and…

Machine Learning · Statistics 2025-11-27 Feifei Wang , Huiyun Tang , Yang Li

We propose a novel framework to study asynchronous federated learning optimization with delays in gradient updates. Our theoretical framework extends the standard FedAvg aggregation scheme by introducing stochastic aggregation weights to…

Machine Learning · Computer Science 2022-06-22 Yann Fraboni , Richard Vidal , Laetitia Kameni , Marco Lorenzi

We study distributed optimization methods based on the {\em local training (LT)} paradigm: achieving communication efficiency by performing richer local gradient-based training on the clients before parameter averaging. Looking back at the…

Machine Learning · Computer Science 2022-07-12 Grigory Malinovsky , Kai Yi , Peter Richtárik

Federated learning (FL) is vulnerable to heterogeneously distributed data, since a common global model in FL may not adapt to the heterogeneous data distribution of each user. To counter this issue, personalized FL (PFL) was proposed to…

Machine Learning · Computer Science 2022-01-28 Tiansheng Huang , Shiwei Liu , Li Shen , Fengxiang He , Weiwei Lin , Dacheng Tao

Federated Learning is a machine learning paradigm where we aim to train machine learning models in a distributed fashion. Many clients/edge devices collaborate with each other to train a single model on the central. Clients do not share…

Machine Learning · Computer Science 2022-11-28 Mann Patel

Federated learning (FL) has emerged as a widely adopted training paradigm for privacy-preserving machine learning. While the SGD-based FL algorithms have demonstrated considerable success in the past, there is a growing trend towards…

Machine Learning · Computer Science 2024-07-29 Yujia Wang , Shiqiang Wang , Songtao Lu , Jinghui Chen

In federated learning, communication cost is often a critical bottleneck to scale up distributed optimization algorithms to collaboratively learn a model from millions of devices with potentially unreliable or limited communication and…

Machine Learning · Computer Science 2020-11-24 Farzin Haddadpour , Mohammad Mahdi Kamani , Aryan Mokhtari , Mehrdad Mahdavi

Conditional stochastic optimization has found applications in a wide range of machine learning tasks, such as invariant learning, AUPRC maximization, and meta-learning. As the demand for training models with large-scale distributed data…

Machine Learning · Computer Science 2023-10-05 Xidong Wu , Jianhui Sun , Zhengmian Hu , Junyi Li , Aidong Zhang , Heng Huang

Personalization methods in federated learning aim to balance the benefits of federated and local training for data availability, communication cost, and robustness to client heterogeneity. Approaches that require clients to communicate all…

Machine Learning · Computer Science 2022-04-28 Karan Singhal , Hakim Sidahmed , Zachary Garrett , Shanshan Wu , Keith Rush , Sushant Prakash

Personalized federated learning (PFL) offers a flexible framework for aggregating information across distributed clients with heterogeneous data. This work considers a personalized federated learning setting that simultaneously learns…

Machine Learning · Statistics 2025-06-03 Xin Yu , Zelin He , Ying Sun , Lingzhou Xue , Runze Li

Due to the curse of statistical heterogeneity across clients, adopting a personalized federated learning method has become an essential choice for the successful deployment of federated learning-based services. Among diverse branches of…

Machine Learning · Computer Science 2022-08-12 Seok-Ju Hahn , Minwoo Jeong , Junghye Lee