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This paper proposes a proximal variant of the alternating direction method of multipliers (ADMM) for distributed optimization. Although the current versions of ADMM algorithm provide promising numerical results in producing solutions that…

最优化与控制 · 数学 2023-09-01 Reza Mirzaeifard , Naveen K. D. Venkategowda , Alexander Jung , Stefan Werner

Decentralized optimization over time-varying networks has a wide range of applications in distributed learning, signal processing and various distributed control problems. The agents of the distributed system locally hold optimization…

最优化与控制 · 数学 2023-12-14 Alexander Rogozin , Alexander Gasnikov , Aleksander Beznosikov , Dmitry Kovalev

In this paper, we consider a network of agents that jointly aim to minimise the sum of local functions subject to coupling constraints involving all local variables. To solve this problem, we propose a novel solution based on a primal-dual…

最优化与控制 · 数学 2025-02-11 Mohamed Abdelmouamin Messilem , Guido Carnevale , Ruggero Carli

This paper investigates the distributed continuous-time nonconvex optimization problem over unbalanced directed networks. The objective is to cooperatively drive all the agent states to an optimal solution that minimizes the sum of the…

最优化与控制 · 数学 2022-12-01 Jin Zhang , Yahui Hao , Lu Liu , Haibo Ji

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…

信号处理 · 电气工程与系统科学 2019-09-04 Jiangtao Wang , Yongchao Wang

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

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…

最优化与控制 · 数学 2018-05-31 Yu Wang , Wotao Yin , Jinshan Zeng

In distributed optimization and federated learning, asynchronous alternating direction method of multipliers (ADMM) serves as an attractive option for large-scale optimization, data privacy, straggler nodes and variety of objective…

机器学习 · 计算机科学 2025-08-19 Sagar Shrestha

We propose a Regularized Adaptive Momentum Dual Averaging (RAMDA) algorithm for training structured neural networks. Similar to existing regularized adaptive methods, the subproblem for computing the update direction of RAMDA involves a…

机器学习 · 计算机科学 2024-12-30 Zih-Syuan Huang , Ching-pei Lee

We consider the consensual distributed optimization problem and propose an asynchronous version of the Alternating Direction Method of Multipliers (ADMM) algorithm to solve it. The `asynchronous' part here refers to the fact that only one…

最优化与控制 · 数学 2022-04-01 Suhail M. Shah , Konstantin E. Avrachenkov

In this paper, we propose an inexact Augmented Lagrangian Method (ALM) for the optimization of convex and nonsmooth objective functions subject to linear equality constraints and box constraints where errors are due to fixed-point data. To…

最优化与控制 · 数学 2019-07-23 Yan Zhang , Michael M. Zavlanos

We consider the problem of tracking the minimum of a time-varying convex optimization problem over a dynamic graph. Motivated by target tracking and parameter estimation problems in intermittently connected robotic and sensor networks, the…

最优化与控制 · 数学 2019-05-20 Rishabh Dixit , Amrit Singh Bedi , Ketan Rajawat

This paper introduces the Bi-linear consensus Alternating Direction Method of Multipliers (Bi-cADMM), aimed at solving large-scale regularized Sparse Machine Learning (SML) problems defined over a network of computational nodes.…

机器学习 · 计算机科学 2024-06-27 Alireza Olama , Andreas Lundell , Jan Kronqvist , Elham Ahmadi , Eduardo Camponogara

We study strongly convex distributed optimization problems where a set of agents are interested in solving a separable optimization problem collaboratively. In this paper, we propose and study a two time-scale decentralized gradient descent…

最优化与控制 · 数学 2022-08-16 Hadi Reisizadeh , Behrouz Touri , Soheil Mohajer

In this paper, we propose a new stochastic alternating direction method of multipliers (ADMM) algorithm, which incrementally approximates the full gradient in the linearized ADMM formulation. Besides having a low per-iteration complexity as…

机器学习 · 计算机科学 2013-08-19 Leon Wenliang Zhong , James T. Kwok

Regularization is a popular technique in machine learning for model estimation and avoiding overfitting. Prior studies have found that modern ordered regularization can be more effective in handling highly correlated, high-dimensional data…

机器学习 · 计算机科学 2019-11-01 Mahammad Humayoo , Xueqi Cheng

When the data is distributed across multiple servers, lowering the communication cost between the servers (or workers) while solving the distributed learning problem is an important problem and is the focus of this paper. In particular, we…

机器学习 · 计算机科学 2020-03-25 Anis Elgabli , Jihong Park , Amrit S. Bedi , Mehdi Bennis , Vaneet Aggarwal

Many practical applications require solving an optimization over large and high-dimensional data sets, which makes these problems hard to solve and prohibitively time consuming. In this paper, we propose a parallel distributed algorithm…

分布式、并行与集群计算 · 计算机科学 2012-12-03 Elad Gilboa , Phani Chavali , Peng Yang , Arye Nehorai

In this paper we consider a distributed convex optimization problem over time-varying undirected networks. We propose a dual method, primarily averaged network dual ascent (PANDA), that is proven to converge R-linearly to the optimal point…

最优化与控制 · 数学 2018-10-16 Marie Maros , Joakim Jaldén

This paper provides an overview of the historical progression of distributed optimization techniques, tracing their development from early duality-based methods pioneered by Dantzig, Wolfe, and Benders in the 1960s to the emergence of the…

最优化与控制 · 数学 2023-08-11 Aadharsh Aadhithya A , Abinesh S , Akshaya J , Jayanth M , Vishnu Radhakrishnan , Sowmya V , Soman K. P
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