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相关论文: Alternating Direction Method of Multipliers for Sp…

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In this paper we consider from two different aspects the proximal alternating direction method of multipliers (ADMM) in Hilbert spaces. We first consider the application of the proximal ADMM to solve well-posed linearly constrained…

最优化与控制 · 数学 2023-10-11 Qinian Jin

The success of convolutional neural networks (CNNs) in computer vision applications has been accompanied by a significant increase of computation and memory costs, which prohibits its usage on resource-limited environments such as mobile or…

计算机视觉与模式识别 · 计算机科学 2019-03-25 Shaohui Lin , Rongrong Ji , Yuchao Li , Cheng Deng , Xuelong Li

A lift-and-permute scheme of alternating direction method of multipliers (ADMM) is proposed for linearly constrained convex programming. It contains not only the newly developed balanced augmented Lagrangian method and its dual-primal…

最优化与控制 · 数学 2022-03-31 Shiru Li , Yong Xia , Tao Zhang

We propose an alternating direction method of multipliers (ADMM) to solve an optimization problem stemming from inverse lithography. The objective functional of the optimization problem includes three terms: the misfit between the imaging…

数值分析 · 数学 2026-04-21 Junqing Chen , Haibo Liu

Plug-and-Play Alternating Direction Method of Multipliers (PnP-ADMM) is a widely-used algorithm for solving inverse problems by integrating physical measurement models and convolutional neural network (CNN) priors. PnP-ADMM has been…

计算机视觉与模式识别 · 计算机科学 2023-12-01 Chicago Park , Shirin Shoushtari , Weijie Gan , Ulugbek S. Kamilov

This work proposes a novel adaptive linearized alternating direction multiplier method (LADMM) to convex optimization, which improves the convergence rate of the LADMM-based algorithm by adjusting step-size iteratively.The innovation of…

最优化与控制 · 数学 2024-07-04 Boran Wang

Recent advances in neural-network architecture allow for seamless integration of convex optimization problems as differentiable layers in an end-to-end trainable neural network. Integrating medium and large scale quadratic programs into a…

最优化与控制 · 数学 2021-12-15 Andrew Butler , Roy Kwon

Many problems in machine learning and other fields can be (re)for-mulated as linearly constrained separable convex programs. In most of the cases, there are multiple blocks of variables. However, the traditional alternating direction method…

数值分析 · 计算机科学 2014-05-30 Zhouchen Lin , Risheng Liu , Huan Li

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

Convolutional sparse coding improves on the standard sparse approximation by incorporating a global shift-invariant model. The most efficient convolutional sparse coding methods are based on the alternating direction method of multipliers…

机器学习 · 计算机科学 2022-02-09 Farshad G. Veshki , Sergiy A. Vorobyov

The Alternating Direction Method of Multipliers (ADMM) has gained a lot of attention for solving large-scale and objective-separable constrained optimization. However, the two-block variable structure of the ADMM still limits the practical…

最优化与控制 · 数学 2020-03-24 Kresimir Mihic , Mingxi Zhu , Yinyu Ye

This technical note is an ancillary material for our research paper (Itoh and Parente, 2019). We discuss an alternating direction method of multipliers with generalized augmented terms (ADMM-GAT) and introduce a generalized residual balance…

最优化与控制 · 数学 2019-09-19 Yuki Itoh , Mario Parente

In this paper, we propose a generalized alternating direction method of multipliers (ADMM) with semi-proximal terms for solving a class of convex composite conic optimization problems, of which some are high-dimensional, to moderate…

最优化与控制 · 数学 2018-01-17 Yunhai Xiao , Liang Chen , Donghui Li

The alternating direction method of multipliers (ADMM) has been widely adopted in low-rank approximation and low-order model identification tasks; however, the performance of nonconvex ADMM is highly reliant on the choice of penalty…

最优化与控制 · 数学 2023-09-11 Qingyuan Liu , Zhengchao Huang , Hao Ye , Dexian Huang , Chao Shang

This paper addresses the problem of efficiently classifying high-dimensional data over decentralized networks. Penalized support vector machines (SVMs) are widely used for high-dimensional classification tasks. However, the double…

机器学习 · 统计学 2025-03-11 Canyi Chen , Nan Qiao , Liping Zhu

We present a stochastic setting for optimization problems with nonsmooth convex separable objective functions over linear equality constraints. To solve such problems, we propose a stochastic Alternating Direction Method of Multipliers…

机器学习 · 计算机科学 2013-01-23 Hua Ouyang , Niao He , Alexander Gray

We present the Alternating Direction Method of Multipliers for Performance Boosting (ADMM-PB), an approach to design performance boosting controllers for stable or pre-stabilized nonlinear systems, while explicitly seeking input and state…

系统与控制 · 电气工程与系统科学 2025-11-05 Gianluca Giacomelli , Danilo Saccani , Siep Weiland , Giancarlo Ferrari-Trecate , Valentina Breschi

Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine leaning, communications, and many other fields. Despite its…

最优化与控制 · 数学 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

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

The Alternating Direction Method of Multipliers (ADMM) is a widely used method for structured convex optimization, and its practical performance depends strongly on the choice of penalty and relaxation parameters. Motivated by settings such…

最优化与控制 · 数学 2026-04-30 Junan Lin , Paul J. Goulart , Luca Furieri