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Anomaly detection for Magnetic Resonance Images (MRIs) can be solved with unsupervised methods by learning the distribution of healthy images and identifying anomalies as outliers. In presence of an additional dataset of unlabelled data…

Machine Learning · Computer Science 2020-07-27 Alexandra-Ioana Albu , Alina Enescu , Luigi Malagò

We present two efficient numerical methods for susceptibility artifact correction applicable in Echo Planar Imaging (EPI), an ultra fast Magnetic Resonance Imaging (MRI) technique widely used in clinical applications. Both methods address a…

Optimization and Control · Mathematics 2016-11-23 Jan Macdonald , Lars Ruthotto

In order to determine the 3D structure of a thick sample, researchers have recently combined ptychography (for high resolution) and tomography (for 3D imaging) in a single experiment. 2-step methods are usually adopted for reconstruction,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-21 Huibin Chang , Pablo Enfedaque , Stefano Marchesini

Time-of-flight positron emission tomography (TOF-PET) detectors exhibiting multiple coincidence time resolution (CTR) components, such as those induced by the mixing of Cherenkov and scintillation photons, have attracted increasing…

Medical Physics · Physics 2026-05-29 Kibo Ote , Fumio Hashimoto , Yuya Onishi , Ryosuke Ota , Maxime Toussaint , Francis Loignon-Houle

We present a constrained motion control framework for a redundant surgical system designed for minimally invasive treatment of pelvic osteolysis. The framework comprises a kinematics model of a six Degrees-of-Freedom (DoF) robotic arm…

Robotics · Computer Science 2018-01-23 Farshid Alambeigi , Shahriar Sefati , Mehran Armand

We study a class of structured convex optimization problems, which have a two-block separable objective and nonlinear functional constraints as well as affine constraints that couple the two block variables. Such problems naturally arise…

Optimization and Control · Mathematics 2026-02-27 Zhengjie Xiong , Yangyang Xu

Label-free tomographic microscopy offers a compelling means to visualize three-dimensional (3D) refractive index (RI) distributions from two-dimensional (2D) intensity measurements. However, limited forward-model accuracy and the ill-posed…

Optics · Physics 2025-02-27 Delong Yang , Shaohui Zhang , Jiasong Sun , Chao Zuo , Qun Hao

Accurate estimation of the Underwater acoustic (UWA) is a key part of underwater communications, especially for coherent systems. The severe multipath effects and large delay spreads make the estimation problem large-scale. The…

Signal Processing · Electrical Eng. & Systems 2023-08-25 Tian Tian , Agastya Raj , Bruno Missi Xavier , Ying Zhang , Feiyun Wu , Kunde Yang

We study the problem of minimizing the sum of a smooth function and a nonsmooth convex regularizer over a compact Riemannian submanifold embedded in Euclidean space. By introducing an auxiliary splitting variable, we propose an adaptive…

Optimization and Control · Mathematics 2025-10-22 Kangkang Deng , Jiachen Jin , Jiang Hu , Hongxia Wang

We consider a class of structured, nonconvex, nonsmooth optimization problems under orthogonality constraints, where the objectives combine a smooth function, a nonsmooth concave function, and a nonsmooth weakly convex function. This class…

Optimization and Control · Mathematics 2025-01-14 Ganzhao Yuan

Skull-induced aberrations remain a major drawback of transcranial ultrasound localization microscopy (ULM), degrading sensitivity and spatial accuracy through microbubble mislocalization, false detections, and imaging artifacts, such as…

We consider joint channel estimation and faulty antenna detection for massive multiple-input multiple-output (MIMO) systems operating in time-division duplexing (TDD) mode. For systems with faulty antennas, we show that the impact of faulty…

Information Theory · Computer Science 2017-09-21 Peng Zhang , Lu Gan , Cong Ling , Sumei Sun

We present an adaptive regularization scheme for optimizing composite energy functionals arising in image analysis problems. The scheme automatically trades off data fidelity and regularization depending on the current data fit during the…

Computer Vision and Pattern Recognition · Computer Science 2017-05-10 Byung-Woo Hong , Ja-Keoung Koo , Martin Burger , Stefano Soatto

Recently, many variance reduced stochastic alternating direction method of multipliers (ADMM) methods (e.g.\ SAG-ADMM, SDCA-ADMM and SVRG-ADMM) have made exciting progress such as linear convergence rates for strongly convex problems.…

Machine Learning · Computer Science 2017-07-12 Yuanyuan Liu , Fanhua Shang , James Cheng

The alternating direction method of multipliers (ADMM) has emerged as a powerful technique for large-scale structured optimization. Despite many recent results on the convergence properties of ADMM, a quantitative characterization of the…

Optimization and Control · Mathematics 2016-11-17 Euhanna Ghadimi , André Teixeira , Iman Shames , Mikael Johansson

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…

Optimization and Control · Mathematics 2017-11-02 Qinghua Liu , Xinyue Shen , Yuantao Gu

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…

Machine Learning · Computer Science 2025-04-01 Jintao Xu , Yifei Li , Wenxun Xing

In the paper, we study the stochastic alternating direction method of multipliers (ADMM) for the nonconvex optimizations, and propose three classes of the nonconvex stochastic ADMM with variance reduction, based on different reduced…

Optimization and Control · Mathematics 2017-07-27 Feihu Huang , Songcan Chen , Zhaosong Lu

ADMM-FFT is an iterative method with high reconstruction accuracy for laminography but suffers from excessive computation time and large memory consumption. We introduce mLR, which employs memoization to replace the time-consuming Fast…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-05 Bin Ma , Viktor Nikitin , Xi Wang , Tekin Bicer , Dong Li

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.…

Systems and Control · Electrical Eng. & Systems 2022-11-17 Vivek Khatana , Murti V. Salapaka