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Alternating Direction Method of Multipliers (ADMM) is a widely used tool for machine learning in distributed settings, where a machine learning model is trained over distributed data sources through an interactive process of local…

Machine Learning · Computer Science 2020-05-19 Zonghao Huang , Rui Hu , Yuanxiong Guo , Eric Chan-Tin , Yanmin Gong

Federated learning is a promising distributed training paradigm that effectively safeguards data privacy. However, it may involve significant communication costs, which hinders training efficiency. In this paper, we aim to enhance…

Machine Learning · Computer Science 2024-10-01 Shiwei Li , Yingyi Cheng , Haozhao Wang , Xing Tang , Shijie Xu , Weihong Luo , Yuhua Li , Dugang Liu , Xiuqiang He , Ruixuan Li

Recent studies of federated graph foundational models (FedGFMs) break the idealized and untenable assumption of having centralized data storage to train graph foundation models, and accommodate the reality of distributed, privacy-restricted…

Machine Learning · Computer Science 2026-01-30 Yinlin Zhu , Di Wu , Xianzhi Zhang , Yuming Ai , Xunkai Li , Miao Hu , Guocong Quan

We propose Adaptive Compressed Gradient Descent (AdaCGD) - a novel optimization algorithm for communication-efficient training of supervised machine learning models with adaptive compression level. Our approach is inspired by the recently…

Machine Learning · Computer Science 2022-11-02 Maksim Makarenko , Elnur Gasanov , Rustem Islamov , Abdurakhmon Sadiev , Peter Richtarik

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

Fourier phase retrieval (FPR) is an inverse problem that recovers the signal from its Fourier magnitude measurement, it's ill-posed especially when the sampling rates are low. In this paper, an untrained generative prior is introduced to…

Signal Processing · Electrical Eng. & Systems 2022-10-25 Liyuan Ma , Hongxia Wang , Ningyi Leng , Ziyang Yuan

We consider a network of agents that are cooperatively solving a global optimization problem, where the objective function is the sum of privately known local objective functions of the agents and the decision variables are coupled via…

Optimization and Control · Mathematics 2013-08-01 Ermin Wei , Asuman Ozdaglar

Reinforcement learning (RL) shows great potential in sequential decision-making. At present, mainstream RL algorithms are data-driven, which usually yield better asymptotic performance but much slower convergence compared with model-driven…

Machine Learning · Computer Science 2024-02-27 Yang Guan , Jingliang Duan , Shengbo Eben Li , Jie Li , Jianyu Chen , Bo Cheng

Adaptive gradient methods have attracted much attention of machine learning communities due to the high efficiency. However their acceleration effect in practice, especially in neural network training, is hard to analyze, theoretically. The…

Optimization and Control · Mathematics 2020-06-15 Xunpeng Huang , Hao Zhou , Runxin Xu , Zhe Wang , Lei Li

This paper studies efficient distributed optimization methods for multi-agent networks. Specifically, we consider a convex optimization problem with a globally coupled linear equality constraint and local polyhedra constraints, and develop…

Systems and Control · Computer Science 2016-11-15 Tsung-Hui Chang

A novel Decentralized Noisy Model Update Tracking Federated Learning algorithm (FedNMUT) is proposed that is tailored to function efficiently in the presence of noisy communication channels that reflect imperfect information exchange. This…

Machine Learning · Computer Science 2024-03-26 Vishnu Pandi Chellapandi , Antesh Upadhyay , Abolfazl Hashemi , Stanislaw H. Żak

Bilevel optimization is a popular hierarchical model in machine learning, and has been widely applied to many machine learning tasks such as meta learning, hyperparameter learning and policy optimization. Although many bilevel optimization…

Machine Learning · Computer Science 2022-11-15 Feihu Huang

The primal-dual method of multipliers (PDMM) was originally designed for solving a decomposable optimisation problem over a general network. In this paper, we revisit PDMM for optimisation over a centralized network. We first note that the…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-21 Guoqiang Zhang , Kenta Niwa , W. Bastiaan Kleijn

Federated Learning (FL) has emerged as a privacy-preserving method for training machine learning models in a distributed manner on edge devices. However, on-device models face inherent computational power and memory limitations, potentially…

Machine Learning · Computer Science 2024-10-11 Kin Wai Lau , Yasar Abbas Ur Rehman , Pedro Porto Buarque de Gusmão , Lai-Man Po , Lan Ma , Yuyang Xie

The Alternating Direction Method of Multipliers (ADMM) is widely used for linearly constrained convex problems. It is proven to have an $o(1/\sqrt{K})$ nonergodic convergence rate and a faster $O(1/K)$ ergodic rate after ergodic averaging,…

Numerical Analysis · Mathematics 2018-12-13 Huan Li , Zhouchen Lin

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

A gradient enhanced ADMM algorithm for optimal transport on general surfaces is proposed in this paper. Based on Benamou and Brenier's dynamical formulation, we combine gradient recovery techniques on surfaces with the ADMM algorithm, not…

Numerical Analysis · Mathematics 2024-06-25 Guozhi Dong , Hailong Guo , Chengrun Jiang , Zuoqiang Shi

Generating adversarial examples (AEs) can be formulated as an optimization problem. Among various optimization-based attacks, the gradient-based PGD and the momentum-based MI-FGSM have garnered considerable interest. However, all these…

Machine Learning · Computer Science 2025-12-17 Wei Tao , Sheng Long , Xin Liu , Wei Li , Qing Tao

We present a flexible Alternating Direction Method of Multipliers (F-ADMM) algorithm for solving optimization problems involving a strongly convex objective function that is separable into $n \geq 2$ blocks, subject to (non-separable)…

Optimization and Control · Mathematics 2015-03-24 Daniel P. Robinson , Rachael E. H. Tappenden

We propose a general algorithmic framework for constrained matrix and tensor factorization, which is widely used in signal processing and machine learning. The new framework is a hybrid between alternating optimization (AO) and the…

Machine Learning · Statistics 2016-08-24 Kejun Huang , Nicholas D. Sidiropoulos , Athanasios P. Liavas
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