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The alternating direction method of multipliers (ADM or ADMM) breaks a complex optimization problem into much simpler subproblems. The ADM algorithms are typically short and easy to implement yet exhibit (nearly) state-of-the-art…

Optimization and Control · Mathematics 2021-02-02 Ming Yan , Wotao Yin

Alternating Direction Method of Multipliers (ADMM) has been used successfully in many conventional machine learning applications and is considered to be a useful alternative to Stochastic Gradient Descent (SGD) as a deep learning optimizer.…

Optimization and Control · Mathematics 2021-07-07 Junxiang Wang , Fuxun Yu , Xiang Chen , Liang Zhao

The high memory consumption and computational costs of Recurrent neural network language models (RNNLMs) limit their wider application on resource constrained devices. In recent years, neural network quantization techniques that are capable…

Machine Learning · Computer Science 2021-12-01 Junhao Xu , Xie Chen , Shoukang Hu , Jianwei Yu , Xunying Liu , Helen Meng

This paper develops an adaptive proximal alternating direction method of multipliers (ADMM) for solving linearly constrained, composite optimization problems under the assumption that the smooth component of the objective is weakly convex,…

Optimization and Control · Mathematics 2026-05-04 Leandro Farias Maia , David H. Gutman , Renato D. C. Monteiro , Gilson N. Silva

The objective of this paper is to design an efficient and convergent alternating direction method of multipliers (ADMM) for finding a solution of medium accuracy to conic programming problems whose constraints consist of linear equalities,…

Optimization and Control · Mathematics 2014-12-02 Defeng Sun , Kim-Chuan Toh , Liuqin Yang

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

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…

Optimization and Control · Mathematics 2023-01-26 Le Thi Khanh Hien , Duy Nhat Phan , Nicolas Gillis

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…

Multiagent Systems · Computer Science 2024-02-07 Zilong Cheng , Jun Ma , Wenxin Wang , Zicheng Zhu , Clarence W. de Silva , Tong Heng Lee

In this paper, we develop a dual alternating direction method of multipliers (ADMM) for an image decomposition model. In this model, an image is divided into two meaningful components, i.e., a cartoon part and a texture part. The…

Image and Video Processing · Electrical Eng. & Systems 2024-12-20 Qingsong Wang , Chengjing Wang , Peipei Tang , Dunbiao Niu

Alternating Direction Method of Multipliers (ADMM) is a popular method for solving large-scale Machine Learning problems. Stochastic ADMM was proposed to reduce the per iteration computational complexity, which is more suitable for big data…

Numerical Analysis · Computer Science 2023-04-25 Chao Zhang , Zebang Shen , Hui Qian , Tengfei Zhou , Jianya Zhou , Jianying Zhou

Sparse penalized quantile regression provides an effective framework for variable selection and robust estimation in high-dimensional data analysis. When ex planatory variables are organized into groups, achieving sparsity both within and…

Computation · Statistics 2026-04-23 Huayan Kou , Yuwen Gu , Yi Lian , Rui Zhang , Jun Fan

Complex ADMM-Net, a complex-valued neural network architecture inspired by the alternating direction method of multipliers (ADMM), is designed for interference removal in super-resolution stepped frequency radar angle-range-doppler imaging.…

Signal Processing · Electrical Eng. & Systems 2021-07-07 Jeremy Johnston , Yinchuan Li , Marco Lops , Xiaodong Wang

An alternate direction method of multipliers (ADMM)-based detectors can achieve good performance in both small and large-scale multiple-input multiple-output (MIMO) systems. However, due to the difficulty of choosing the optimal penalty…

Signal Processing · Electrical Eng. & Systems 2021-03-02 Isayiyas Nigatu Tiba , Quan Zhang , Jing Jiang , Yongchao Wang

We propose a distributed algorithm, named Distributed Alternating Direction Method of Multipliers (D-ADMM), for solving separable optimization problems in networks of interconnected nodes or agents. In a separable optimization problem there…

Optimization and Control · Mathematics 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

The alternating direction method of multipliers (ADMM) is a popular approach for solving optimization problems that are potentially non-smooth and with hard constraints. It has been applied to various computer graphics applications,…

Graphics · Computer Science 2019-09-04 Juyong Zhang , Yue Peng , Wenqing Ouyang , Bailin Deng

In this paper, we aim to provide a comprehensive analysis on the linear rate convergence of the alternating direction method of multipliers (ADMM) for solving linearly constrained convex composite optimization problems. Under a certain…

Optimization and Control · Mathematics 2015-08-11 Deren Han , Defeng Sun , Liwei Zhang

Accompanied with the rising popularity of compressed sensing, the Alternating Direction Method of Multipliers (ADMM) has become the most widely used solver for linearly constrained convex problems with separable objectives. In this work, we…

Numerical Analysis · Computer Science 2016-07-12 Canyi Lu , Jiashi Feng , Shuicheng Yan , Zhouchen Lin

The Alternating Direction Method of Multipliers (ADMM) has now days gained tremendous attentions for solving large-scale machine learning and signal processing problems due to the relative simplicity. However, the two-block structure of the…

Optimization and Control · Mathematics 2020-03-23 Mingxi Zhu , Kresimir Mihic , Yinyu Ye

Deep neural networks (DNNs) have achieved significant success in a variety of real world applications, i.e., image classification. However, tons of parameters in the networks restrict the efficiency of neural networks due to the large model…

Machine Learning · Computer Science 2019-08-21 Yuzhe Ma , Ran Chen , Wei Li , Fanhua Shang , Wenjian Yu , Minsik Cho , Bei Yu

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…

Numerical Analysis · Mathematics 2019-07-02 Jianchao Bai , Junli Liang , Ke Guo , Yang Jing