English
Related papers

Related papers: Manifold Reconstruction of Differences: A Model-Ba…

200 papers

The problem of identifying geometric structure in data is a cornerstone of (unsupervised) learning. As a result, Geometric Representation Learning has been widely applied across scientific and engineering domains. In this work, we…

Machine Learning · Computer Science 2025-06-03 Imran Nasim , Melanie Weber

We introduce a generative smoothness regularization on manifolds (SToRM) model for the recovery of dynamic image data from highly undersampled measurements. The model assumes that the images in the dataset are non-linear mappings of…

Image and Video Processing · Electrical Eng. & Systems 2021-03-12 Qing Zou , Abdul Haseeb Ahmed , Prashant Nagpal , Stanley Kruger , Mathews Jacob

In order to avoid the curse of dimensionality, frequently encountered in Big Data analysis, there was a vast development in the field of linear and nonlinear dimension reduction techniques in recent years. These techniques (sometimes…

Graphics · Computer Science 2020-02-27 Barak Sober , David Levin

CT reconstruction provides radiologists with images for diagnosis and treatment, yet current deep learning methods are typically limited to specific anatomies and datasets, hindering generalization ability to unseen anatomies and lesions.…

Image and Video Processing · Electrical Eng. & Systems 2025-10-31 Shaokai Wu , Yapan Guo , Yanbiao Ji , Jing Tong , Yuxiang Lu , Mei Li , Suizhi Huang , Yue Ding , Hongtao Lu

Dynamic computed tomography (CT) reconstruction faces significant challenges in addressing motion artifacts, particularly for nonperiodic rapid movements such as cardiac imaging with fast heart rates. Traditional methods struggle with the…

Computer Vision and Pattern Recognition · Computer Science 2025-05-07 Muge Du , Zhuozhao Zheng , Wenying Wang , Guotao Quan , Wuliang Shi , Le Shen , Li Zhang , Liang Li , Yinong Liu , Yuxiang Xing

Current state-of-the-art motion-based dynamic computed tomography reconstruction techniques estimate the deformation by considering motion models in the entire object volume although occasionally the proper change is local. In this article,…

Optimization and Control · Mathematics 2023-09-06 Anh-Tuan Nguyen , Jens Renders , Jan Sijbers , Jan De Beenhouwer

We consider the problem of reconstructing the intrinsic geometry of a manifold from noisy pairwise distance observations. Specifically, let $M$ denote a diameter 1 d-dimensional manifold and $\mu$ a probability measure on $M$ that is…

Machine Learning · Statistics 2025-11-18 Charles Fefferman , Jonathan Marty , Kevin Ren

We introduce an unsupervised deep manifold learning algorithm for motion-compensated dynamic MRI. We assume that the motion fields in a free-breathing lung MRI dataset live on a manifold. The motion field at each time instant is modeled as…

Image and Video Processing · Electrical Eng. & Systems 2021-11-23 Qing Zou , Luis A. Torres , Sean B. Fain , Mathews Jacob

Although existing deep learning compressed-sensing-based Magnetic Resonance Imaging (CS-MRI) methods have achieved considerably impressive performance, explainability and generalizability continue to be challenging for such methods since…

Image and Video Processing · Electrical Eng. & Systems 2023-03-14 Xiaohong Fan , Yin Yang , Ke Chen , Jianping Zhang , Ke Dong

Medical multi-modal pre-training has revealed promise in computer-aided diagnosis by leveraging large-scale unlabeled datasets. However, existing methods based on masked autoencoders mainly rely on data-level reconstruction tasks, but lack…

Computer Vision and Pattern Recognition · Computer Science 2024-04-10 Yupei Zhang , Li Pan , Qiushi Yang , Tan Li , Zhen Chen

Objective: To propose and validate an unsupervised MRI reconstruction method that does not require fully sampled k-space data. Materials and Methods: The proposed method, deep image prior with structured sparsity (DISCUS), extends the deep…

Image and Video Processing · Electrical Eng. & Systems 2025-05-30 Muhammad Ahmad Sultan , Chong Chen , Yingmin Liu , Katarzyna Gil , Karolina Zareba , Rizwan Ahmad

Performing magnetic resonance imaging (MRI) reconstruction from under-sampled k-space data can accelerate the procedure to acquire MRI scans and reduce patients' discomfort. The reconstruction problem is usually formulated as a denoising…

Image and Video Processing · Electrical Eng. & Systems 2023-12-11 Tianqi Xiang , Wenjun Yue , Yiqun Lin , Jiewen Yang , Zhenkun Wang , Xiaomeng Li

We present a comprehensive overview of the Deep Image Prior (DIP) framework and its applications to image reconstruction in computed tomography. Unlike conventional deep learning methods that rely on large, supervised datasets, the DIP…

Image and Video Processing · Electrical Eng. & Systems 2026-02-24 Simon Arridge , Riccardo Barbano , Alexander Denker , Zeljko Kereta

We propose a novel algorithm for supervised dimensionality reduction named Manifold Partition Discriminant Analysis (MPDA). It aims to find a linear embedding space where the within-class similarity is achieved along the direction that is…

Machine Learning · Computer Science 2020-11-24 Yang Zhou , Shiliang Sun

Massive multi-input multi-output (MIMO) in Frequency Division Duplex (FDD) mode suffers from heavy feedback overhead for Channel State Information (CSI). In this paper, a novel manifold learning-based CSI feedback framework (MLCF) is…

Information Theory · Computer Science 2024-08-27 Yandi Cao , Haifan Yin , Ziao Qin , Weidong Li , Weimin Wu , Mérouane Debbah

Model-Based Image Reconstruction (MBIR) methods significantly enhance the quality of computed tomographic (CT) reconstructions relative to analytical techniques, but are limited by high computational cost. In this paper, we propose a…

Image and Video Processing · Electrical Eng. & Systems 2019-11-22 Venkatesh Sridhar , Xiao Wang , Gregery T. Buzzard , Charles A. Bouman

Deep neural networks achieve state-of-the-art results for accelerated MRI reconstruction. Most research on deep learning based imaging focuses on improving neural network architectures trained and evaluated on fixed and homogeneous training…

Image and Video Processing · Electrical Eng. & Systems 2025-08-20 Kang Lin , Anselm Krainovic , Kun Wang , Reinhard Heckel

Neural network pruning is an essential approach for reducing the computational complexity of deep models so that they can be well deployed on resource-limited devices. Compared with conventional methods, the recently developed dynamic…

Computer Vision and Pattern Recognition · Computer Science 2021-03-11 Yehui Tang , Yunhe Wang , Yixing Xu , Yiping Deng , Chao Xu , Dacheng Tao , Chang Xu

Accurate motion estimation at high acceleration factors enables rapid motion-compensated reconstruction in Magnetic Resonance Imaging (MRI) without compromising the diagnostic image quality. In this work, we introduce an attention-aware…

Image and Video Processing · Electrical Eng. & Systems 2024-04-30 Aya Ghoul , Jiazhen Pan , Andreas Lingg , Jens Kübler , Patrick Krumm , Kerstin Hammernik , Daniel Rueckert , Sergios Gatidis , Thomas Küstner

An important task in image processing and neuroimaging is to extract quantitative information from the acquired images in order to make observations about the presence of disease or markers of development in populations. Having a…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Camilo Bermudez , Andrew J. Plassard , Larry T. Davis , Allen T. Newton , Susan M Resnick , Bennett A. Landman