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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

Alternating Direction Method of Multipliers (ADMM) algorithm has been widely adopted for solving the distributed optimization problem (DOP). In this paper, a new distributed parallel ADMM algorithm is proposed, which allows the agents to…

最优化与控制 · 数学 2021-11-23 Ziye Liu , Fanghong Guo , Wei Wang , Xiaoqun Wu

We propose a distributed optimization method for solving a distributed model predictive consensus problem. The goal is to design a distributed controller for a network of dynamical systems to optimize a coupled objective function while…

最优化与控制 · 数学 2012-12-07 Tyler H. Summers , John Lygeros

This paper addresses a multi-stage generation investment problem for a strategic (price-maker) power producer in electricity markets. This problem is exposed to different sources of uncertainty, including short-term operational (e.g.,…

最优化与控制 · 数学 2018-10-31 Vladimir Dvorkin , Jalal Kazempour , Luis Baringo , Pierre Pinson

In this paper we propose an Alternating Direction Method of Multipliers (ADMM) algorithm for solving a Model Predictive Control (MPC) optimization problem, in which the system has state and input constraints and a nonlinear input map. The…

最优化与控制 · 数学 2018-07-30 Sebastian East , Mark Cannon

This paper investigates the collision-free control problem for multi-agent systems. For such multi-agent systems, it is the typical situation where conventional methods using either the usual centralized model predictive control (MPC), or…

多智能体系统 · 计算机科学 2024-02-07 Zilong Cheng , Jun Ma , Wenxin Wang , Zicheng Zhu , Clarence W. de Silva , Tong Heng Lee

This work investigates the theoretical performance of the alternating-direction method of multipliers (ADMM) as it applies to nonconvex optimization problems, and in particular, problems with nonconvex constraint sets. The alternating…

最优化与控制 · 数学 2022-03-16 Stuart M. Harwood

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…

最优化与控制 · 数学 2024-12-16 Anusha Srikanthan , Aren Karapetyan , Vijay Kumar , Nikolai Matni

Multi-agent distributed consensus optimization problems arise in many signal processing applications. Recently, the alternating direction method of multipliers (ADMM) has been used for solving this family of problems. ADMM based distributed…

系统与控制 · 计算机科学 2015-06-18 Tsung-Hui Chang , Mingyi Hong , Xiangfeng Wang

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

The alternating direction method of multipliers (ADMM) is a powerful splitting algorithm for linearly constrained convex optimization problems. In view of its popularity and applicability, a growing attention is drawn towards the ADMM in…

最优化与控制 · 数学 2022-08-19 Sedi Bartz , Rubén Campoy , Hung M. Phan

We propose new methods to speed up convergence of the Alternating Direction Method of Multipliers (ADMM), a common optimization tool in the context of large scale and distributed learning. The proposed method accelerates the speed of…

机器学习 · 计算机科学 2016-04-05 Changkyu Song , Sejong Yoon , Vladimir Pavlovic

Cumulative prospect theory (CPT) is known to model human decisions well, with substantial empirical evidence supporting this claim. CPT works by distorting probabilities and is more general than the classic expected utility and coherent…

机器学习 · 计算机科学 2016-03-01 Prashanth L. A. , Cheng Jie , Michael Fu , Steve Marcus , Csaba Szepesvári

The paper presents a distributed model predictive control (DMPC) scheme for continuous-time nonlinear systems based on the alternating direction method of multipliers (ADMM). A stopping criterion in the ADMM algorithm limits the iterations…

最优化与控制 · 数学 2017-06-30 Anja Bestler , Knut Graichen

With the proliferation of distributed energy resources and the volume of data stored due to advancement in metering infrastructure, energy management in power system operation needs distributed computing. In this paper, we propose a fully…

系统与控制 · 电气工程与系统科学 2020-05-21 Shailesh Wasti , Pablo Ubiratan , Shahab Afshar , Vahid Disfani

This paper considers the problem of distributed model fitting using the alternating directions method of multipliers (ADMM). ADMM splits the learning problem into several smaller subproblems, usually by partitioning the data samples. The…

最优化与控制 · 数学 2022-03-04 Dinesh Krishnamoorthy , Vyacheslav Kungurtsev

The alternating direction method of multipliers (ADMM) has emerged as a powerful technique for large-scale structured optimization. Despite many recent results on the convergence properties of ADMM, a quantitative characterization of the…

最优化与控制 · 数学 2016-11-17 Euhanna Ghadimi , André Teixeira , Iman Shames , Mikael Johansson

In this paper, we propose and analyze an inexact version of the symmetric proximal alternating direction method of multipliers (ADMM) for solving linearly constrained optimization problems. Basically, the method allows its first subproblem…

最优化与控制 · 数学 2020-06-05 Vando A. Adona , Max L. N. Gonçalves

The alternating direction method of multipliers (ADMM) is a flexible method to solve a large class of convex minimization problems. Particular features are its unconditional convergence with respect to the involved step size and its direct…

数值分析 · 数学 2017-04-21 Sören Bartels , Marijo Milicevic

Cumulative prospect theory (CPT) is the first theory for decision-making under uncertainty that combines full theoretical soundness and empirically realistic features [P.P. Wakker - Prospect theory: For risk and ambiguity, Page 2]. While…

计算机科学中的逻辑 · 计算机科学 2025-05-15 Thomas Brihaye , Krishnendu Chatterjee , Stefanie Mohr , Maximilian Weininger
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