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The Alternating Direction Method of Multipliers (ADMM) has been studied for years. The traditional ADMM algorithm needs to compute, at each iteration, an (empirical) expected loss function on all training examples, resulting in a…

机器学习 · 统计学 2014-06-10 Peilin Zhao , Jinwei Yang , Tong Zhang , Ping Li

We present AUQ-ADMM, an adaptive uncertainty-weighted consensus ADMM method for solving large-scale convex optimization problems in a distributed manner. Our key contribution is a novel adaptive weighting scheme that empirically increases…

最优化与控制 · 数学 2022-04-20 Jianping Ye , Caleb Wan , Samy Wu Fung

In decentralized consensus optimization, a connected network of agents collaboratively minimize the sum of their local objective functions over a common decision variable, where their information exchange is restricted between the…

最优化与控制 · 数学 2015-06-16 Wei Shi , Qing Ling , Kun Yuan , Gang Wu , Wotao Yin

We propose both serial and parallel proximal (linearized) alternating direction method of multipliers (ADMM) algorithms for training residual neural networks. In contrast to backpropagation-based approaches, our methods inherently mitigate…

机器学习 · 计算机科学 2025-04-01 Jintao Xu , Yifei Li , Wenxun Xing

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…

统计理论 · 数学 2024-04-11 Xiaofei Wu , Jiancheng Jiang , Zhimin Zhang

This paper introduces a novel approach to solving multi-block nonconvex composite optimization problems through a proximal linearized Alternating Direction Method of Multipliers (ADMM). This method incorporates an Increasing Penalization…

最优化与控制 · 数学 2025-04-01 Ganzhao Yuan

Adaptive Demodulation (ADM) is a newly proposed rate-adaptive system which operates without requiring Channel State Information (CSI) at the transmitter (unlike adaptive modulation) by using adaptive decision region boundaries at the…

信息论 · 计算机科学 2016-11-17 J. David Brown , Jamshid Abouei , Konstantinos N. Plataniotis , Subbarayan Pasupathy

The stable principal component pursuit (SPCP) is a non-smooth convex optimization problem, the solution of which enables one to reliably recover the low rank and sparse components of a data matrix which is corrupted by a dense noise matrix,…

最优化与控制 · 数学 2015-02-10 Necdet Serhat Aybat , Garud Iyengar

In this paper, we develop an efficient detector for massive multiple-input multiple-output (MIMO) communication systems via penalty-sharing alternating direction method of multipliers (PS-ADMM). Its main content are as follows: first, we…

信号处理 · 电气工程与系统科学 2020-10-15 Quan Zhang , Yongchao Wang

As a well-known optimization framework, the Alternating Direction Method of Multipliers (ADMM) has achieved tremendous success in many classification and regression applications. Recently, it has attracted the attention of deep learning…

机器学习 · 计算机科学 2021-12-23 Junxiang Wang , Hongyi Li , Liang Zhao

Large scale, non-convex optimization problems arising in many complex networks such as the power system call for efficient and scalable distributed optimization algorithms. Existing distributed methods are usually iterative and require…

最优化与控制 · 数学 2017-10-26 Junyao Guo , Gabriela Hug , Ozan Tonguz

The alternating direction method of multipliers (ADMM) has been recognized as a versatile approach for solving modern large-scale machine learning and signal processing problems efficiently. When the data size and/or the problem dimension…

分布式、并行与集群计算 · 计算机科学 2016-05-04 Tsung-Hui Chang , Wei-Cheng Liao , Mingyi Hong , Xiangfeng Wang

The Alternating Direction Method of Multipliers (ADMM) has been proved to be effective for solving separable convex optimization subject to linear constraints. In this paper, we propose a Generalized Symmetric ADMM (GS-ADMM), which updates…

最优化与控制 · 数学 2018-12-11 Jianchao Bai , Jicheng Li , Fengmin Xu , Hongchao Zhang

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 paper presents optimal scaling of the alternating directions method of multipliers (ADMM) algorithm for a class of distributed quadratic programming problems. The scaling corresponds to the ADMM step-size and relaxation parameter, as…

最优化与控制 · 数学 2016-11-15 André Teixeira , Euhanna Ghadimi , Iman Shames , Henrik Sandberg , Mikael Johansson

Distance metric learning is successful in discovering intrinsic relations in data. However, most algorithms are computationally demanding when the problem size becomes large. In this paper, we propose a discriminative metric learning…

机器学习 · 计算机科学 2019-05-15 Jun Li , Xun Lin , Xiaoguang Rui , Yong Rui , Dacheng Tao

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…

最优化与控制 · 数学 2022-02-21 Iman Nodozi , Abhishek Halder

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…

数值分析 · 数学 2019-07-02 Jianchao Bai , Junli Liang , Ke Guo , Yang Jing

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…

最优化与控制 · 数学 2013-04-26 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

Low-rank representation (LRR) is an effective method for subspace clustering and has found wide applications in computer vision and machine learning. The existing LRR solver is based on the alternating direction method (ADM). It suffers…

最优化与控制 · 数学 2011-09-05 Zhouchen Lin , Risheng Liu , Zhixun Su