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We present a novel framework, namely AADMM, for acceleration of linearized alternating direction method of multipliers (ADMM). The basic idea of AADMM is to incorporate a multi-step acceleration scheme into linearized ADMM. We demonstrate…

Optimization and Control · Mathematics 2014-02-13 Yuyuan Ouyang , Yunmei Chen , Guanghui Lan , Eduardo Pasiliao

The four-dimensional variational data assimilation (4D-Var) has emerged as an important methodology, widely used in numerical weather prediction, oceanographic modeling, and climate forecasting. Classical unconstrained gradient-based…

Numerical Analysis · Mathematics 2024-10-08 Bowen Li , Bin Shi

In this paper, we carry out a unified study for $L_1$ over $L_2$ sparsity promoting models, which are widely used in the regime of coherent dictionaries for recovering sparse nonnegative/arbitrary signals. First, we provide a unified…

Optimization and Control · Mathematics 2023-01-24 Min Tao , Xiao-Ping Zhang

Anomaly detection with only prior knowledge from normal samples attracts more attention because of the lack of anomaly samples. Existing CNN-based pixel reconstruction approaches suffer from two concerns. First, the reconstruction source…

Computer Vision and Pattern Recognition · Computer Science 2022-12-12 Zhiyuan You , Kai Yang , Wenhan Luo , Lei Cui , Yu Zheng , Xinyi Le

Anomaly detection in multivariate time series (MTS) is hindered by dynamic inter-variable dependencies and feature entanglement under spectral noise, and in practice, is further complicated by the absence of anomaly labels. Existing…

Machine Learning · Computer Science 2026-05-25 Yunhua Pei , Zixing Song , Jin Zheng , John Cartlidge

Precisely-labeled data sets with sufficient amount of samples are very important for training deep convolutional neural networks (CNNs). However, many of the available real-world data sets contain erroneously labeled samples and those…

Computer Vision and Pattern Recognition · Computer Science 2016-03-03 Samaneh Azadi , Jiashi Feng , Stefanie Jegelka , Trevor Darrell

Trajectory optimization is becoming increasingly powerful in addressing motion planning problems of underactuated robotic systems. Numerous prior studies solve such a class of large non-convex optimal control problems in a hierarchical…

Robotics · Computer Science 2020-03-19 Ziyi Zhou , Ye Zhao

Most advanced unsupervised anomaly detection (UAD) methods rely on modeling feature representations of frozen encoder networks pre-trained on large-scale datasets, e.g. ImageNet. However, the features extracted from the encoders that are…

Computer Vision and Pattern Recognition · Computer Science 2023-10-25 Jia Guo , Shuai Lu , Lize Jia , Weihang Zhang , Huiqi Li

In this paper, we propose two low-complexity peak to average power ratio(PAPR) reduction algorithms for orthogonal frequency division multiplexing(OFDM) signals. The main content is as follows: First, a non-convex optimization model is…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Hao Su , Jiangtao Wang , Yongchao Wang

The application of supervised models to clinical screening tasks is challenging due to the need for annotated data for each considered pathology. Unsupervised Anomaly Detection (UAD) is an alternative approach that aims to identify any…

Image and Video Processing · Electrical Eng. & Systems 2025-01-24 Finn Behrendt , Debayan Bhattacharya , Robin Mieling , Lennart Maack , Julia Krüger , Roland Opfer , Alexander Schlaefer

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…

Optimization and Control · Mathematics 2024-09-17 M. Marques Alves , M. Geremia

Displacement estimation is very important in ultrasound elastography and failing to estimate displacement correctly results in failure in generating strain images. As conventional ultrasound elastography techniques suffer from decorrelation…

Image and Video Processing · Electrical Eng. & Systems 2019-04-25 Md. Golam Kibria , Hassan Rivaz

The alternating direction method of multipliers (ADMM) is an effective method for solving wide fields of convex problems. At each iteration, the classical ADMM solves two subproblems exactly. However, in many applications, it is expensive…

Optimization and Control · Mathematics 2019-03-07 Yan Gu , Nobuo Yamashita

We consider the problem of max-min beamforming (MMB) for cell-free massive multi-input multi-output (MIMO) systems, where the objective is to maximize the minimum achievable rate among all users. Existing MMB methods are mainly based on…

Signal Processing · Electrical Eng. & Systems 2025-07-28 Bin Wang , Jun Fang , Yue Xiao , Martin Haardt

Alternating direction method of multiplier (ADMM) is a widely used algorithm for solving constrained optimization problems in image restoration. Among many useful features, one critical feature of the ADMM algorithm is its modular structure…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Stanley H. Chan , Xiran Wang , Omar A. Elgendy

This work studies the linear convergence of an accelerated scheme of the Alternating Direction Method of Multipliers (ADMM) for strongly convex and Lipschitz-smooth problems. We use the methodology of expressing the accelerated ADMM as a…

Optimization and Control · Mathematics 2025-12-08 Meisam Tavakoli , Fabian Jakob , Guido Carnevale , Giuseppe Notarstefano , Andrea Iannelli

Optimal transport on a graph focuses on finding the most efficient way to transfer resources from one distribution to another while considering the graph's structure. This paper introduces a new distributed algorithm that solves the optimal…

Optimization and Control · Mathematics 2025-07-08 Yacine Mokhtari , Emmanuel Moulay , Patrick Coirault , Jérôme Le Ny

We present a novel adversarial distortion learning (ADL) for denoising two- and three-dimensional (2D/3D) biomedical image data. The proposed ADL consists of two auto-encoders: a denoiser and a discriminator. The denoiser removes noise from…

Image and Video Processing · Electrical Eng. & Systems 2024-03-13 Morteza Ghahremani , Mohammad Khateri , Alejandra Sierra , Jussi Tohka

The alternating direction method of multipliers (ADMM) is a widely used method for solving many convex minimization models arising in signal and image processing. In this paper, we propose an inertial ADMM for solving a two-block separable…

Optimization and Control · Mathematics 2021-04-02 Yang Yang , Yuchao Tang

Adaptive optics (AO) corrected ood imaging of the retina is a popular technique for studying the retinal structure and function in the living eye. However, the raw retinal images are usually of poor contrast and the interpretation of such…

Optimization and Control · Mathematics 2020-12-30 Xiaotong Chen , James L. Herring , James G. Nagy , Yuanzhe Xi , Bo Yu