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Alternating direction method of multiplier (ADMM) is a popular method used to design distributed versions of a machine learning algorithm, whereby local computations are performed on local data with the output exchanged among neighbors in…

Machine Learning · Computer Science 2018-06-07 Xueru Zhang , Mohammad Mahdi Khalili , Mingyan Liu

Inspired and underpinned by the idea of integral feedback, a distributed constant gain algorithm is proposed for multi-agent networks to solve convex optimization problems with local linear constraints. Assuming agent interactions are…

Optimization and Control · Mathematics 2021-11-19 Xuan Wang , Shaoshuai Mou , Brian. D. O. Anderson

This paper proposes a provably convergent multiblock ADMM for nonconvex optimization with nonlinear dynamics constraints, overcoming the divergence issue in classical extensions. We consider a class of optimization problems that arise from…

Optimization and Control · Mathematics 2025-06-24 Bowen Li , Ya-xiang Yuan

In this paper, a decentralized proximal method of multipliers (DPMM) is proposed to solve constrained convex optimization problems over multi-agent networks, where the local objective of each agent is a general closed convex function, and…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

The unit commitment problem (UC) is an optimization problem concerning the operation of electrical generators. Many algorithms have been proposed for the UC and in recent years a more decentralized approach, by solving the UC with…

Optimization and Control · Mathematics 2023-11-23 Rogier Hans Wuijts , Marjan van den Akker , Machteld van den Broek

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…

Systems and Control · Electrical Eng. & Systems 2021-01-13 Yijian Zhang , Emiliano Dall'Anese , Mingyi Hong

The alternating direction method of multipliers (ADMM) algorithm is a powerful and flexible tool for complex optimization problems of the form $\min\{f(x)+g(y) : Ax+By=c\}$. ADMM exhibits robust empirical performance across a range of…

Optimization and Control · Mathematics 2024-02-08 Rina Foygel Barber , Emil Y. Sidky

We propose a distributed nonparametric algorithm for solving measure-valued optimization problems with additive objectives. Such problems arise in several contexts in stochastic learning and control including Langevin sampling from an…

Optimization and Control · Mathematics 2022-02-21 Iman Nodozi , Abhishek Halder

We consider a class of multi-agent cooperative consensus optimization problems with local nonlinear convex constraints where only those agents connected by an edge can directly communicate, hence, the optimal consensus decision lies in the…

Optimization and Control · Mathematics 2023-02-23 Nazanin Abolfazli , Afrooz Jalilzadeh , Erfan Yazdandoost Hamedani

In this paper, we analyze the convergence of the alternating direction method of multipliers (ADMM) for minimizing a nonconvex and possibly nonsmooth objective function, $\phi(x_0,\ldots,x_p,y)$, subject to coupled linear equality…

Optimization and Control · Mathematics 2018-05-31 Yu Wang , Wotao Yin , Jinshan Zeng

In the paper, we study the stochastic alternating direction method of multipliers (ADMM) for the nonconvex optimizations, and propose three classes of the nonconvex stochastic ADMM with variance reduction, based on different reduced…

Optimization and Control · Mathematics 2017-07-27 Feihu Huang , Songcan Chen , Zhaosong Lu

This paper investigates the vulnerability of the Alternating Direction Method of Multipliers (ADMM) algorithm to shared data manipulation, with a focus on solving optimal power flow (OPF) problems. Deliberate data manipulation may cause the…

Systems and Control · Electrical Eng. & Systems 2025-11-03 Mohannad Alkhraijah , Rachel Harris , Samuel Litchfield , David Huggins , Daniel K. Molzahn

We consider cooperative multi-agent resource sharing problems over time-varying communication networks, where only local communications are allowed. The objective is to minimize the sum of agent-specific composite convex functions subject…

Optimization and Control · Mathematics 2019-08-27 Necdet Serhat Aybat , Erfan Yazdandoost Hamedani

Due to the limited energy of sensor nodes in wireless sensor networks, extending the networks lifetime is a major challenge that can be formulated as an optimization problem. In this paper, we propose a distributed iterative algorithm based…

Networking and Internet Architecture · Computer Science 2018-07-31 Farzad Tashtarian , Ahmadreza Montazerolghaem , Amir Varasteh

The parallel alternating direction method of multipliers (ADMM) algorithms have gained popularity in statistics and machine learning due to their efficient handling of large sample data problems. However, the parallel structure of these…

Statistics Theory · Mathematics 2024-04-11 Xiaofei Wu , Jiancheng Jiang , Zhimin Zhang

Many practical applications of optimal control are subject to real-time computational constraints. When applying model predictive control (MPC) in these settings, respecting timing constraints is achieved by limiting the number of…

Optimization and Control · Mathematics 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

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,…

Optimization and Control · Mathematics 2020-12-02 Yu Ye , Hao Chen , Ming Xiao , Mikael Skoglund , H. Vincent Poor

To meet the ever growing demand for both high throughput and uniform coverage in future wireless networks, dense network deployment will be ubiquitous, for which co- operation among the access points is critical. Considering the…

Information Theory · Computer Science 2014-05-14 Yuanming Shi , Jun Zhang , Khaled B. Letaief

In this paper, we design constant modulus probing waveforms with good correlation properties for collocated multi-input multi-output (MIMO) radar systems. The main content is as follows: first, we formulate the design problem as a fourth…

Signal Processing · Electrical Eng. & Systems 2019-09-04 Jiangtao Wang , Yongchao Wang

In this paper, the optimal consensus problem for general nonlinear multi-agent systems is studied, where both leaderless and leader-follower cases are considered in a unified framework. The key idea is to convert consensus problems into…

Optimization and Control · Mathematics 2026-04-07 Ziyuan Guo , Chuanzhi lv , Liping Zhang , Huanshui Zhang