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We develop a new proximal-gradient method for minimizing the sum of a differentiable, possibly nonconvex, function plus a convex, possibly non differentiable, function. The key features of the proposed method are the definition of a…

Numerical Analysis · Mathematics 2016-05-13 Silvia Bonettini , Ignace Loris , Federica Porta , Marco Prato

Background: Respiratory-resolved four-dimensional magnetic resonance imaging (4D-MRI) provides essential motion information for accurate radiation treatments of mobile tumors. However, obtaining high-quality 4D-MRI suffers from long…

Medical Physics · Physics 2023-08-04 Maarten Terpstra , Matteo Maspero , Joost Verhoeff , Cornelis van den Berg

We propose a novel deformation corrected compressed sensing (DC-CS) framework to recover dynamic magnetic resonance images from undersampled measurements. We introduce a generalized formulation that is capable of handling a wide class of…

Computer Vision and Pattern Recognition · Computer Science 2014-09-04 Sajan Goud Lingala , Edward DiBella , Mathews Jacob

Tomographic image reconstruction is well understood if the specimen being studied is stationary during data acquisition. However, if this specimen changes during the measuring process, standard reconstruction techniques can lead to severe…

Analysis of PDEs · Mathematics 2022-04-13 B. N. Hahn , M. -L. Kienle-Garrido , C. Klingenberg , S. Warnecke

In recent years, anomaly detection has become an essential field in medical image analysis. Most current anomaly detection methods for medical images are based on image reconstruction. In this work, we propose a novel anomaly detection…

Computer Vision and Pattern Recognition · Computer Science 2023-01-20 Florentin Bieder , Julia Wolleb , Robin Sandkühler , Philippe C. Cattin

The ability to reconstruct high-quality images from undersampled MRI data is vital in improving MRI temporal resolution and reducing acquisition times. Deep learning methods have been proposed for this task, but the lack of verified methods…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Samah Khawaled , Moti Freiman

In this paper, we propose an inexact block coordinate descent algorithm for large-scale nonsmooth nonconvex optimization problems. At each iteration, a particular block variable is selected and updated by inexactly solving the original…

Optimization and Control · Mathematics 2019-12-12 Yang Yang , Marius Pesavento , Zhi-Quan Luo , Björn Ottersten

Counting the repetition of human exercise and physical rehabilitation is a common task in rehabilitation and exercise training. The existing vision-based repetition counting methods less emphasize the concurrent motions in the same video.…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Yu Cheng Hsu , Qingpeng Zhang , Efstratios Tsougenis , Kwok-Leung Tsui

In this paper, we consider the nonsmooth convex optimization problems over the fixed point constraint sets of firmly nonexpansive operators. To find an optimal solution of the problem, we present an iterative method based on the hybrid…

Optimization and Control · Mathematics 2026-03-23 Ontima Pankoon , Nimit Nimana , Yeol Je Cho

With the rapid growth of neuroimaging technologies, a great effort has been dedicated recently to investigate the dynamic changes in brain activity. Examples include time course calcium imaging and dynamic brain functional connectivity. In…

Methodology · Statistics 2020-08-31 Wei Hu , Tianyu Pan , Dehan Kong , Weining Shen

Accelerated coordinate descent is widely used in optimization due to its cheap per-iteration cost and scalability to large-scale problems. Up to a primal-dual transformation, it is also the same as accelerated stochastic gradient descent…

Optimization and Control · Mathematics 2016-05-30 Zeyuan Allen-Zhu , Zheng Qu , Peter Richtárik , Yang Yuan

The presence of motion artifacts in magnetic resonance imaging (MRI) scans poses a significant challenge, where even minor patient movements can lead to artifacts that may compromise the scan's utility.This paper introduces MAsked MOtion…

Image and Video Processing · Electrical Eng. & Systems 2024-11-05 Lennart Alexander Van der Goten , Jingyu Guo , Kevin Smith

This paper considers the robust phase retrieval problem, which can be cast as a nonsmooth and nonconvex optimization problem. We propose a new inexact proximal linear algorithm with the subproblem being solved inexactly. Our contributions…

Optimization and Control · Mathematics 2024-02-12 Zhong Zheng , Shiqian Ma , Lingzhou Xue

Three-dimensional (3D) and dynamic 3D+time (4D) reconstruction of coronary arteries from X-ray coronary angiography (CA) has the potential to improve clinical procedures. However, there are multiple challenges to be addressed, most notably,…

Image and Video Processing · Electrical Eng. & Systems 2025-07-28 Kirsten W. H. Maas , Danny Ruijters , Nicola Pezzotti , Anna Vilanova

There is a growing interest in using robust control theory to analyze and design optimization and machine learning algorithms. This paper studies a class of nonconvex optimization problems whose cost functions satisfy the so-called…

Optimization and Control · Mathematics 2019-12-11 Huaqing Xiong , Yuejie Chi , Bin Hu , Wei Zhang

Parallel imaging techniques reduce magnetic resonance imaging (MRI) scan time but image quality degrades as the acceleration factor increases. In clinical practice, conservative acceleration factors are chosen because no mechanism exists to…

Image and Video Processing · Electrical Eng. & Systems 2026-05-26 Ilias I. Giannakopoulos , Lokesh B Gautham Muthukumar , Yvonne W. Lui , Riccardo Lattanzi

Cardiac motion estimation and segmentation play important roles in quantitatively assessing cardiac function and diagnosing cardiovascular diseases. In this paper, we propose a novel deep learning method for joint estimation of motion and…

Computer Vision and Pattern Recognition · Computer Science 2018-06-12 Chen Qin , Wenjia Bai , Jo Schlemper , Steffen E. Petersen , Stefan K. Piechnik , Stefan Neubauer , Daniel Rueckert

Recently, there has been growing interest in developing optimization methods for solving large-scale machine learning problems. Most of these problems boil down to the problem of minimizing an average of a finite set of smooth and strongly…

Optimization and Control · Mathematics 2018-02-09 Aryan Mokhtari , Mert Gürbüzbalaban , Alejandro Ribeiro

Interactive autonomous applications require robustness of the perception engine to artifacts in unconstrained videos. In this paper, we examine the effect of camera motion on the task of action detection. We develop a novel ranking method…

Computer Vision and Pattern Recognition · Computer Science 2022-05-03 Burhan A. Mudassar , Sho Ko , Maojingjing Li , Priyabrata Saha , Saibal Mukhopadhyay

Recent years have seen a flurry of activities in designing provably efficient nonconvex procedures for solving statistical estimation problems. Due to the highly nonconvex nature of the empirical loss, state-of-the-art procedures often…

Machine Learning · Computer Science 2020-06-09 Cong Ma , Kaizheng Wang , Yuejie Chi , Yuxin Chen
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