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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

We develop a general framework for finding approximately-optimal preconditioners for solving linear systems. Leveraging this framework we obtain improved runtimes for fundamental preconditioning and linear system solving problems including…

Data Structures and Algorithms · Computer Science 2023-10-30 Arun Jambulapati , Jerry Li , Christopher Musco , Kirankumar Shiragur , Aaron Sidford , Kevin Tian

In real-world applications, it is important for machine learning algorithms to be robust against data outliers or corruptions. In this paper, we focus on improving the robustness of a large class of learning algorithms that are formulated…

Machine Learning · Computer Science 2021-06-04 Quanming Yao , Hangsi Yang , En-Liang Hu , James Kwok

This paper presents a GPU-accelerated computational framework for reconstructing high resolution (HR) LF images under a mixed Gaussian-Impulse noise condition. The main focus is on developing a high-performance approach considering…

Image and Video Processing · Electrical Eng. & Systems 2022-06-13 Trung-Hieu Tran , Kaicong Sun , Sven Simon

Sparse-view Computed Tomography (CT) is an emerging protocol designed to reduce X-ray dose radiation in medical imaging. Traditional Filtered Back Projection algorithm reconstructions suffer from severe artifacts due to sparse data. In…

Numerical Analysis · Mathematics 2024-12-03 Elena Loli Piccolomini , Davide Evangelista , Elena Morotti

Although remarkable progress has been made on single image super-resolution due to the revival of deep convolutional neural networks, deep learning methods are confronted with the challenges of computation and memory consumption in…

Computer Vision and Pattern Recognition · Computer Science 2020-01-01 Dehua Song , Chang Xu , Xu Jia , Yiyi Chen , Chunjing Xu , Yunhe Wang

Purpose: We present SCAMPI (Sparsity Constrained Application of deep Magnetic resonance Priors for Image reconstruction), an untrained deep Neural Network for MRI reconstruction without previous training on datasets. It expands the Deep…

Medical Physics · Physics 2024-05-21 Thomas M. Siedler , Peter M. Jakob , Volker Herold

Deep learning has significantly advanced PET image re-construction, achieving remarkable improvements in image quality through direct training on sinogram or image data. Traditional methods often utilize masks for inpainting tasks, but…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Bin Huang , Binzhong He , Yanhan Chen , Zhili Liu , Xinyue Wang , Binxuan Li , Qiegen Liu

Learning representation from relative similarity comparisons, often called ordinal embedding, gains rising attention in recent years. Most of the existing methods are based on semi-definite programming (\textit{SDP}), which is generally…

Machine Learning · Computer Science 2019-12-03 Ke Ma , Jinshan Zeng , Qianqian Xu , Xiaochun Cao , Wei Liu , Yuan Yao

This paper introduces a novel method for reconstructing cone beam computed tomography (CBCT) images for arbitrary orbits using a differentiable shift-variant filtered backprojection (FBP) neural network. Traditional CBCT reconstruction…

Computer Vision and Pattern Recognition · Computer Science 2024-10-22 Chengze Ye , Linda-Sophie Schneider , Yipeng Sun , Mareike Thies , Siyuan Mei , Andreas Maier

We derive several numerical methods for designing optimized first-order algorithms in unconstrained convex optimization settings. Our methods are based on the Performance Estimation Problem (PEP) framework, which casts the worst-case…

Optimization and Control · Mathematics 2025-07-29 Yassine Kamri , Julien M. Hendrickx , François Glineur

Electron cryomicroscopy (cryo-EM) is an imaging technique widely used in structural biology to determine the three-dimensional structure of biological molecules from noisy two-dimensional projections with unknown orientations. As the…

Numerical Analysis · Mathematics 2025-06-26 Bogdan Toader , Marcus A. Brubaker , Roy R. Lederman

Mirror descent (MD) is a powerful first-order optimization technique that subsumes several optimization algorithms including gradient descent (GD). In this work, we develop a semi-definite programming (SDP) framework to analyze the…

Optimization and Control · Mathematics 2022-01-19 Youbang Sun , Mahyar Fazlyab , Shahin Shahrampour

Patient motion during PET is inevitable. Its long acquisition time not only increases the motion and the associated artifacts but also the patient's discomfort, thus PET acceleration is desirable. However, accelerating PET acquisition will…

Image and Video Processing · Electrical Eng. & Systems 2023-02-15 Bo Zhou , Yu-Jung Tsai , Jiazhen Zhang , Xueqi Guo , Huidong Xie , Xiongchao Chen , Tianshun Miao , Yihuan Lu , James S. Duncan , Chi Liu

Pre-training large neural networks at scale imposes heavy memory demands on accelerators and often requires costly communication. We introduce Subnetwork Data Parallelism (SDP), a distributed training framework that partitions a model into…

Machine Learning · Computer Science 2025-10-06 Vaibhav Singh , Zafir Khalid , Edouard Oyallon , Eugene Belilovsky

Recent advances (Sherman, 2017; Sidford and Tian, 2018; Cohen et al., 2021) have overcome the fundamental barrier of dimension dependence in the iteration complexity of solving $\ell_\infty$ regression with first-order methods. Yet it…

Optimization and Control · Mathematics 2025-06-18 Cedar Site Bai , Brian Bullins

Image registration is a fundamental task for medical imaging. Resampling of the intensity values is required during registration and better spatial resolution with finer and sharper structures can improve the resampling performance and…

Image and Video Processing · Electrical Eng. & Systems 2022-01-03 Kaicong Sun , Sven Simon

Numerous dual-energy CT (DECT) techniques have been developed in the past few decades. Dual-energy CT (DECT) statistical iterative reconstruction (SIR) has demonstrated its potential for reducing noise and increasing accuracy. Our lab…

Image and Video Processing · Electrical Eng. & Systems 2023-02-02 Tao Ge , Maria Medrano , Rui Liao , David G. Politte , Jeffrey F. Williamson , Bruce R. Whiting , Joseph A. O'Sullivan

Our aim was to enhance visual quality and quantitative accuracy of dynamic positron emission tomography (PET)uptake images by improved image reconstruction, using sophisticated sparse penalty models that incorporate both 2D spatial+1D…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Ida Häggström , Yizun Lin , Si Li , Andrzej Krol , Yuesheng Xu , C. Ross Schmidtlein

Incoherent k-space undersampling and deep learning-based reconstruction methods have shown great success in accelerating MRI. However, the performance of most previous methods will degrade dramatically under high acceleration factors, e.g.,…

Image and Video Processing · Electrical Eng. & Systems 2026-01-21 Jin Liu , Qing Lin , Zhuang Xiong , Shanshan Shan , Chunyi Liu , Min Li , Feng Liu , G. Bruce Pike , Hongfu Sun , Yang Gao