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In this paper, we propose an algorithmic framework, dubbed inertial alternating direction methods of multipliers (iADMM), for solving a class of nonconvex nonsmooth multiblock composite optimization problems with linear constraints. Our…

最优化与控制 · 数学 2023-01-26 Le Thi Khanh Hien , Duy Nhat Phan , Nicolas Gillis

We propose a distributed version of the Alternating Direction Method of Multipliers (ADMM) with linear updates for directed networks. We show that if the objective function of the minimization problem is smooth and strongly convex, our…

最优化与控制 · 数学 2023-09-21 Kiran Rokade , Rachel Kalpana Kalaimani

This paper considers a convex optimization problem with cost and constraints that evolve over time. The function to be minimized is strongly convex and possibly non-differentiable, and variables are coupled through linear constraints. In…

系统与控制 · 电气工程与系统科学 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

Privacy-preserving distributed processing has received considerable attention recently. The main purpose of these algorithms is to solve certain signal processing tasks over a network in a decentralised fashion without revealing…

信号处理 · 电气工程与系统科学 2023-12-14 Sebastian O. Jordan , Qiongxiu Li , Richard Heusdens

The alternating direction method of multipliers (ADMM) is one of the most widely used first-order optimisation methods in the literature owing to its simplicity, flexibility and efficiency. Over the years, numerous efforts are made to…

最优化与控制 · 数学 2019-12-02 Clarice Poon , Jingwei Liang

In the fields of statistics, machine learning, image science, and related areas, there is an increasing demand for decentralized collection or storage of large-scale datasets, as well as distributed solution methods. To tackle this…

最优化与控制 · 数学 2024-01-17 Bowen Li , Bin Shi

Decentralized methods are gaining popularity for data-driven models in power systems as they offer significant computational scalability while guaranteeing full data ownership by utility stakeholders. However, decentralized methods still…

分布式、并行与集群计算 · 计算机科学 2020-10-20 Paritosh Ramanan , Murat Yildirim , Nagi Gebraeel , Edmond Chow

Privacy-preserving distributed processing has recently attracted considerable attention. It aims to design solutions for conducting signal processing tasks over networks in a decentralized fashion without violating privacy. Many algorithms…

密码学与安全 · 计算机科学 2020-09-03 Qiongxiu Li , Jaron Skovsted Gundersen , Richard Heusdens , Mads Græsbøll Christensen

UAV swarms can form virtual antenna arrays to exploit additional spatial degrees of freedom and enhance integrated sensing and communication (ISAC). The optimization of UAV positions is challenging due to the distributed nature of swarms…

信号处理 · 电气工程与系统科学 2025-11-06 Zhiyuan Zhai , Wei Ni , Xin Wang , Dusit Niyato , Ekram Hossain

There has been an increasing necessity for scalable optimization methods, especially due to the explosion in the size of datasets and model complexity in modern machine learning applications. Scalable solvers often distribute the…

最优化与控制 · 数学 2020-09-08 Guilherme França , José Bento

In this work, we present a hardware compatible neural network training algorithm in which we used alternating direction method of multipliers (ADMM) and iterative least-square methods. The motive behind this approach was to conduct a method…

机器学习 · 计算机科学 2020-09-08 Seyedeh Niusha Alavi Foumani , Ce Guo , Wayne Luk

Distributed optimization and learning has recently garnered great attention due to its wide applications in sensor networks, smart grids, machine learning, and so forth. Despite rapid development, existing distributed optimization and…

机器学习 · 计算机科学 2024-03-04 Ziqin Chen , Yongqiang Wang

As a well-known optimization framework, the Alternating Direction Method of Multipliers (ADMM) has achieved tremendous success in many classification and regression applications. Recently, it has attracted the attention of deep learning…

机器学习 · 计算机科学 2021-12-23 Junxiang Wang , Hongyi Li , Liang Zhao

In this paper, we propose a faster stochastic alternating direction method of multipliers (ADMM) for nonconvex optimization by using a new stochastic path-integrated differential estimator (SPIDER), called as SPIDER-ADMM. Moreover, we prove…

最优化与控制 · 数学 2020-08-12 Feihu Huang , Songcan Chen , Heng Huang

This paper investigates a cooperative motion planning problem for large-scale connected autonomous vehicles (CAVs) under limited communications, which addresses the challenges of high communication and computing resource requirements. Our…

机器人学 · 计算机科学 2024-01-18 Haichao Liu , Zhenmin Huang , Zicheng Zhu , Yulin Li , Shaojie Shen , Jun Ma

Quantization of the parameters of machine learning models, such as deep neural networks, requires solving constrained optimization problems, where the constraint set is formed by the Cartesian product of many simple discrete sets. For such…

最优化与控制 · 数学 2021-03-02 Tianjian Huang , Prajwal Singhania , Maziar Sanjabi , Pabitra Mitra , Meisam Razaviyayn

This paper considers the distributed optimization of a sum of locally observable, non-convex functions. The optimization is performed over a multi-agent networked system, and each local function depends only on a subset of the variables. An…

最优化与控制 · 数学 2016-05-04 Sandeep Kumar , Rahul Jain , Ketan Rajawat

The alternating direction of multipliers method (ADMM) is a popular method to solve distributed consensus optimization utilizing efficient communication among various nodes in the network. However, in the presence of faulty or attacked…

最优化与控制 · 数学 2025-12-10 Vishnu Vijay , Kartik A. Pant , Minhyun Cho , Inseok Hwang

The alternating direction method of multipliers (ADMM) were extensively investigated in the past decades for solving separable convex optimization problems. Fewer researchers focused on exploring its convergence properties for the nonconvex…

数值分析 · 数学 2019-07-02 Jianchao Bai , Junli Liang , Ke Guo , Yang Jing

Federated systems enable collaborative training on highly heterogeneous data through model personalization, which can be facilitated by employing multi-task learning algorithms. However, significant variation in device computing…