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Magnetic Resonance Imaging (MRI) is a kind of medical imaging technology used for diagnostic imaging of diseases, but its image quality may be suffered by the long acquisition time. The compressive sensing (CS) based strategy may decrease…

最优化与控制 · 数学 2021-11-25 Yanyun Ding , Peili Li , Yunhai Xiao , Haibin Zhang

Steered-Mixtures-of-Experts (SMoE) models provide sparse, edge-aware representations, applicable to many use-cases in image processing. This includes denoising, super-resolution and compression of 2D- and higher dimensional pixel data.…

图像与视频处理 · 电气工程与系统科学 2022-07-26 Elvira Fleig , Jonas Geistert , Erik Bochinski , Rolf Jongebloed , Thomas Sikora

We propose a new relative-error inexact version of the alternating direction method of multipliers (ADMM) for convex optimization. We prove the asymptotic convergence of our main algorithm as well as pointwise and ergodic…

最优化与控制 · 数学 2024-09-17 M. Marques Alves , M. Geremia

The Alternating Direction Method of Multipliers (ADMM) provides a natural way of solving inverse problems with multiple partial differential equations (PDE) forward models and nonsmooth regularization. ADMM allows splitting these…

数值分析 · 数学 2021-04-29 Luke Lozenski , Umberto Villa

This article reports an algorithm for multi-agent distributed optimization problems with a common decision variable, local linear equality and inequality constraints and set constraints with convergence rate guarantees.…

系统与控制 · 电气工程与系统科学 2022-11-17 Vivek Khatana , Murti V. Salapaka

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

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

To meet the ever growing demand for both high throughput and uniform coverage in future wireless networks, dense network deployment will be ubiquitous, for which co- operation among the access points is critical. Considering the…

信息论 · 计算机科学 2014-05-14 Yuanming Shi , Jun Zhang , Khaled B. Letaief

Non-convex quadratically constrained quadratic programming (QCQP) problems have numerous applications in signal processing, machine learning, and wireless communications, albeit the general QCQP is NP-hard, and several interesting special…

最优化与控制 · 数学 2016-09-21 Kejun Huang , Nicholas D. Sidiropoulos

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

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.…

信号处理 · 电气工程与系统科学 2021-07-07 Jeremy Johnston , Yinchuan Li , Marco Lops , Xiaodong Wang

In this paper we propose an efficient distributed algorithm for solving loosely coupled convex optimization problems. The algorithm is based on a primal-dual interior-point method in which we use the alternating direction method of…

最优化与控制 · 数学 2015-02-10 Mariette Annergren , Sina Khoshfetrat Pakazad , Anders Hansson , Bo Wahlberg

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

Recently, learned image compression methods have developed rapidly and exhibited excellent rate-distortion performance when compared to traditional standards, such as JPEG, JPEG2000 and BPG. However, the learning-based methods suffer from…

图像与视频处理 · 电气工程与系统科学 2022-06-24 Bowen Li , Yao Xin , Youneng Bao , Fanyang Meng , Yongsheng Liang , Wen Tan

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

A method for quasistatic cohesive fracture is introduced that uses an alternating direction method of multipliers (ADMM) to implement an energy approach to cohesive fracture. The ADMM algorithm minimizes a non-smooth, non-convex potential…

数值分析 · 数学 2022-02-15 James Petrie , M. Reza Hirmand , Katerina D. Papoulia

Compressive sensing (CS) is an effective approach for fast Magnetic Resonance Imaging (MRI). It aims at reconstructing MR images from a small number of under-sampled data in k-space, and accelerating the data acquisition in MRI. To improve…

计算机视觉与模式识别 · 计算机科学 2017-05-22 Yan Yang , Jian Sun , Huibin Li , Zongben Xu

We employ chordal decomposition to reformulate a large and sparse semidefinite program (SDP), either in primal or dual standard form, into an equivalent SDP with smaller positive semidefinite (PSD) constraints. In contrast to previous…

最优化与控制 · 数学 2020-08-07 Yang Zheng , Giovanni Fantuzzi , Antonis Papachristodoulou , Paul Goulart , Andrew Wynn

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…

数值分析 · 计算机科学 2016-07-12 Canyi Lu , Jiashi Feng , Shuicheng Yan , Zhouchen Lin

The alternating direction method of multipliers (ADMM) is commonly used for distributed model fitting problems, but its performance and reliability depend strongly on user-defined penalty parameters. We study distributed ADMM methods that…

机器学习 · 计算机科学 2017-06-21 Zheng Xu , Gavin Taylor , Hao Li , Mario Figueiredo , Xiaoming Yuan , Tom Goldstein