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In this paper, we consider nonconvex optimization problems with nonsmooth nonconvex objective function and nonlinear equality constraints. We assume that both the objective function and the functional constraints can be separated into 2…

最优化与控制 · 数学 2025-03-04 Lahcen El Bourkhissi , Ion Necoara

Alternating Direction Method of Multipliers (ADMM) has recently been proposed as a potential alternative optimizer to the Stochastic Gradient Descent(SGD) for deep learning problems. This is because ADMM can solve gradient vanishing and…

最优化与控制 · 数学 2021-06-24 Junxiang Wang , Zheng Chai , Yue Cheng , Liang Zhao

Large language models (LLMs) are proliferating rapidly at the edge, delivering intelligent capabilities across diverse application scenarios. However, their practical deployment in collaborative scenarios confronts fundamental challenges:…

分布式、并行与集群计算 · 计算机科学 2025-11-05 Xiumei Deng , Zehui Xiong , Binbin Chen , Dong In Kim , Merouane Debbah , H. Vincent Poor

We analyze the performance of the alternating direction method of multipliers (ADMM) to track, in a decentralized manner, a solution of a stochastic sequence of optimization problems parametrized by a discrete time Markov process. The main…

最优化与控制 · 数学 2019-03-18 Marie Maros , Joakim Jalén

The recent deployment of multi-agent networks has enabled the distributed solution of learning problems, where agents cooperate to train a global model without sharing their local, private data. This work specifically targets some prevalent…

最优化与控制 · 数学 2024-08-20 Nicola Bastianello , Diego Deplano , Mauro Franceschelli , Karl H. Johansson

The alternating direction method of multipliers (ADMM) has been recently recognized as a promising optimizer for large-scale machine learning models. However, there are very few results studying ADMM from the aspect of communication costs,…

最优化与控制 · 数学 2020-12-02 Yu Ye , Hao Chen , Ming Xiao , Mikael Skoglund , H. Vincent Poor

Federated learning (FL) has obtained tremendous progress in providing collaborative training solutions for distributed data silos with privacy guarantees. However, few existing works explore a more realistic scenario where the clients hold…

机器学习 · 计算机科学 2024-06-18 Liwei Che , Jiaqi Wang , Xinyue Liu , Fenglong Ma

Federated learning enables training a global machine learning model from data distributed across multiple sites, without having to move the data. This is particularly relevant in healthcare applications, where data is rife with personal,…

密码学与安全 · 计算机科学 2020-02-24 Olivia Choudhury , Aris Gkoulalas-Divanis , Theodoros Salonidis , Issa Sylla , Yoonyoung Park , Grace Hsu , Amar Das

Federated learning facilitates the collaborative training of models without the sharing of raw data. However, recent attacks demonstrate that simply maintaining data locality during training processes does not provide sufficient privacy…

机器学习 · 计算机科学 2019-08-16 Stacey Truex , Nathalie Baracaldo , Ali Anwar , Thomas Steinke , Heiko Ludwig , Rui Zhang , Yi Zhou

The alternating direction method of multipliers (ADMM) is a widely used method for solving many convex minimization models arising in signal and image processing. In this paper, we propose an inertial ADMM for solving a two-block separable…

最优化与控制 · 数学 2021-04-02 Yang Yang , Yuchao Tang

We present a stochastic setting for optimization problems with nonsmooth convex separable objective functions over linear equality constraints. To solve such problems, we propose a stochastic Alternating Direction Method of Multipliers…

机器学习 · 计算机科学 2013-01-23 Hua Ouyang , Niao He , Alexander Gray

The generalized alternating direction method of multipliers (ADMM) of Xiao et al. [{\tt Math. Prog. Comput., 2018}] aims at the two-block linearly constrained composite convex programming problem, in which each block is in the form of…

最优化与控制 · 数学 2022-04-05 Hongwu Li , Haibin Zhang , Yunhai Xiao

This paper presents a hierarchical federated learning (FL) framework that extends the alternating direction method of multipliers (ADMM) with smoothing techniques, tailored for non-convex and non-smooth objectives. Unlike traditional…

机器学习 · 计算机科学 2025-03-13 Reza Mirzaeifard , Stefan Werner

Wireless connectivity is instrumental in enabling scalable federated learning (FL), yet wireless channels bring challenges for model training, in which channel randomness perturbs each worker's model update while multiple workers' updates…

机器学习 · 计算机科学 2020-11-18 Anis Elgabli , Jihong Park , Chaouki Ben Issaid , Mehdi Bennis

This paper presents a novel accelerated distributed algorithm for unconstrained consensus optimization over static undirected networks. The proposed algorithm combines the benefits of acceleration from momentum, the robustness of the…

Privacy data protection in the medical field poses challenges to data sharing, limiting the ability to integrate data across hospitals for training high-precision auxiliary diagnostic models. Traditional centralized training methods are…

计算机视觉与模式识别 · 计算机科学 2024-08-26 Tian Bowen , Xu Zhengyang , Yin Zhihao , Wang Jingying , Yue Yutao

This paper considers a class of structured fractional minimization problems. The numerator consists of a differentiable function, a simple nonconvex nonsmooth function, a concave nonsmooth function, and a convex nonsmooth function composed…

最优化与控制 · 数学 2025-04-01 Ganzhao Yuan

Federated learning (FL) is proving to be one of the most promising paradigms for leveraging distributed resources, enabling a set of clients to collaboratively train a machine learning model while keeping the data decentralized. The…

机器学习 · 计算机科学 2022-09-12 Mirko Nardi , Lorenzo Valerio , Andrea Passarella

The parallel alternating direction method of multipliers (ADMM) algorithm is widely recognized for its effectiveness in handling large-scale datasets stored in a distributed manner, making it a popular choice for solving statistical…

机器学习 · 统计学 2023-11-22 Xiaofei Wu , Zhimin Zhang , Zhenyu Cui

Personalized medication aims to tailor healthcare to individual patient characteristics. However, the heterogeneity of patient data across healthcare systems presents significant challenges to achieving accurate and effective personalized…

人工智能 · 计算机科学 2024-12-10 Jiechao Gao , Yuangang Li