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A challenging problem in decentralized optimization is to develop algorithms with fast convergence on random and time varying topologies under unreliable and bandwidth-constrained communication network. This paper studies a stochastic…

Optimization and Control · Mathematics 2025-05-29 Chung-Yiu Yau , Haoming Liu , Hoi-To Wai

We study optimization algorithms for the finite sum problems frequently arising in machine learning applications. First, we propose novel variants of stochastic gradient descent with a variance reduction property that enables linear…

Machine Learning · Computer Science 2017-07-06 Jakub Konečný

Multiple local steps are key to communication-efficient federated learning. However, theoretical guarantees for such algorithms, without data heterogeneity-bounding assumptions, have been lacking in general non-smooth convex problems.…

Machine Learning · Computer Science 2025-03-28 Karlo Palenzuela , Ali Dadras , Alp Yurtsever , Tommy Löfstedt

Federated bilevel optimization (FBO) has shown great potential recently in machine learning and edge computing due to the emerging nested optimization structure in meta-learning, fine-tuning, hyperparameter tuning, etc. However, existing…

Machine Learning · Computer Science 2023-12-29 Yifan Yang , Peiyao Xiao , Kaiyi Ji

In recent years, multi-objective optimization (MOO) emerges as a foundational problem underpinning many multi-agent multi-task learning applications. However, existing algorithms in MOO literature remain limited to centralized learning…

Machine Learning · Computer Science 2024-01-09 Haibo Yang , Zhuqing Liu , Jia Liu , Chaosheng Dong , Michinari Momma

In recent years, federated minimax optimization has attracted growing interest due to its extensive applications in various machine learning tasks. While Smoothed Alternative Gradient Descent Ascent (Smoothed-AGDA) has proved its success in…

Machine Learning · Statistics 2024-04-22 Wei Shen , Minhui Huang , Jiawei Zhang , Cong Shen

Low-Rank Adaptation (LoRA), which introduces a product of two trainable low-rank matrices into frozen pre-trained weights, is widely used for efficient fine-tuning of language models in federated learning (FL). However, when combined with…

Machine Learning · Computer Science 2025-10-28 Seanie Lee , Sangwoo Park , Dong Bok Lee , Dominik Wagner , Haebin Seong , Tobias Bocklet , Juho Lee , Sung Ju Hwang

Federated Learning (FL) facilitates the fine-tuning of Foundation Models (FMs) using distributed data sources, with Low-Rank Adaptation (LoRA) gaining popularity due to its low communication costs and strong performance. While recent work…

Machine Learning · Computer Science 2025-05-27 Zihao Peng , Jiandian Zeng , Boyuan Li , Guo Li , Shengbo Chen , Tian Wang

We introduce FedSGM, a unified framework for federated constrained optimization that addresses four major challenges in federated learning (FL): functional constraints, communication bottlenecks, local updates, and partial client…

Machine Learning · Computer Science 2026-01-26 Antesh Upadhyay , Sang Bin Moon , Abolfazl Hashemi

Bilevel Optimization has witnessed notable progress recently with new emerging efficient algorithms. However, its application in the Federated Learning setting remains relatively underexplored, and the impact of Federated Learning's…

Machine Learning · Computer Science 2024-02-28 Junyi Li , Feihu Huang , Heng Huang

In this paper, we study a large-scale multi-agent minimax optimization problem, which models many interesting applications in statistical learning and game theory, including Generative Adversarial Networks (GANs). The overall objective is a…

Machine Learning · Computer Science 2023-06-07 Zhenyu Sun , Ermin Wei

Adaptive moment estimation (Adam), as a Stochastic Gradient Descent (SGD) variant, has gained widespread popularity in federated learning (FL) due to its fast convergence. However, federated Adam (FedAdam) algorithms suffer from a threefold…

Machine Learning · Computer Science 2025-09-22 Xiumei Deng , Jun Li , Kang Wei , Long Shi , Zehui Xiong , Ming Ding , Wen Chen , Shi Jin , H. Vincent Poor

Federated Learning (FL) has emerged as a de facto machine learning area and received rapid increasing research interests from the community. However, catastrophic forgetting caused by data heterogeneity and partial participation poses…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Kangyang Luo , Xiang Li , Yunshi Lan , Ming Gao

Federated Learning (FL) is a decentralized machine learning architecture, which leverages a large number of remote devices to learn a joint model with distributed training data. However, the system-heterogeneity is one major challenge in a…

Machine Learning · Computer Science 2024-05-14 Xingyu Li , Zhe Qu , Bo Tang , Zhuo Lu

The classical line search for learning rate (LR) tuning in the stochastic gradient descent (SGD) algorithm can tame the convergence slowdown due to data-sampling noise. In a federated setting, wherein the client heterogeneity introduces a…

Machine Learning · Computer Science 2025-10-28 Geetika , Somya Tyagi , Bapi Chatterjee

Federated learning (FL) has emerged as a prominent approach for collaborative training of machine learning models across distributed clients while preserving data privacy. However, the quest to balance acceleration and stability becomes a…

Machine Learning · Computer Science 2024-05-21 Liuzhi Zhou , Yu He , Kun Zhai , Xiang Liu , Sen Liu , Xingjun Ma , Guangnan Ye , Yu-Gang Jiang , Hongfeng Chai

Federated Learning (FL), a distributed learning paradigm that scales on-device learning collaboratively, has emerged as a promising approach for decentralized AI applications. Local optimization methods such as Federated Averaging (FedAvg)…

Machine Learning · Computer Science 2024-01-25 Honglin Yuan

In this paper, we analyze the sample and communication complexity of the federated linear stochastic approximation (FedLSA) algorithm. We explicitly quantify the effects of local training with agent heterogeneity. We show that the…

Machine Learning · Statistics 2025-12-22 Paul Mangold , Sergey Samsonov , Safwan Labbi , Ilya Levin , Reda Alami , Alexey Naumov , Eric Moulines

For federated learning (FL) algorithms such as FedSAM, their generalization capability is crucial for real-word applications. In this paper, we revisit the generalization problem in FL and investigate the impact of data heterogeneity on FL…

Machine Learning · Computer Science 2026-04-21 Liu junkang , Yuanyuan Liu , Fanhua Shang , Hongying Liu , Jin Liu , Wei Feng

As a prevalent distributed learning paradigm, Federated Learning (FL) trains a global model on a massive amount of devices with infrequent communication. This paper investigates a class of composite optimization and statistical recovery…

Machine Learning · Computer Science 2022-10-04 Yajie Bao , Michael Crawshaw , Shan Luo , Mingrui Liu