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Compressed sensing based magnetic resonance imaging (CS-MRI) provides an efficient way to reduce scanning time of MRI. Recently deep learning has been introduced into CS-MRI to further improve the image quality and shorten reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2019-08-13 Wenzhong Zhou , Huiqian Du , Wenbo Mei , Liping Fang

This paper presents a geometric analysis of the simultaneous blind deconvolution and phase retrieval (BDPR) problem via a structured low-rank tensor recovery framework. Due to the highly complicated structure of the associated sensing…

Signal Processing · Electrical Eng. & Systems 2025-09-16 Xiao Liang , Zhen Qin , Zhihui Zhu , Shuang Li

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

Magnetic resonance imaging (MRI) is a widely used non-invasive imaging modality. However, a persistent challenge lies in balancing image quality with imaging speed. This trade-off is primarily constrained by k-space measurements, which…

Image and Video Processing · Electrical Eng. & Systems 2025-11-19 Guanxiong Luo , Shoujin Huang , Martin Uecker

Time-resolved MR angiography (tMRA) has been widely used for dynamic contrast enhanced MRI (DCE-MRI) due to its highly accelerated acquisition. In tMRA, the periphery of the k-space data are sparsely sampled so that neighbouring frames can…

Image and Video Processing · Electrical Eng. & Systems 2020-03-31 Eunju Cha , Hyungjin Chung , Eung Yeop Kim , Jong Chul Ye

Low Rank Decomposition (LRD) is a model compression technique applied to the weight tensors of deep learning models in order to reduce the number of trainable parameters and computational complexity. However, due to high number of new…

Machine Learning · Computer Science 2025-05-27 Habib Hajimolahoseini , Walid Ahmed , Yang Liu

Tensor networks are a class of algorithms aimed at reducing the computational complexity of high-dimensional problems. They are used in an increasing number of applications, from quantum simulations to machine learning. Exploiting data…

Numerical Analysis · Mathematics 2024-10-25 Melven Röhrig-Zöllner , Manuel Joey Becklas , Jonas Thies , Achim Basermann

Deep learning in k-space has demonstrated great potential for image reconstruction from undersampled k-space data in fast magnetic resonance imaging (MRI). However, existing deep learning-based image reconstruction methods typically apply…

Image and Video Processing · Electrical Eng. & Systems 2020-06-11 Tianming Du , Honggang Zhang , Yuemeng Li , Hee Kwon Song , Yong Fan

We show that Gaussian process regression (GPR) allows representing multivariate functions with low-dimensional terms via kernel design. When using a kernel built with HDMR (High-dimensional model representation), one obtains a similar type…

Numerical Analysis · Mathematics 2023-01-27 Eita Sasaki , Manabu Ihara , Sergei Manzhos

Fusing a hyperspectral image with a multispectral image acquired over the same scene, \textit{i.e.}, hyperspectral image super-resolution, has become a popular computational way to access the latent high-spatial-spectral-resolution image.…

Computer Vision and Pattern Recognition · Computer Science 2025-10-08 Yinjian Wang , Wei Li , Yuanyuan Gui , Gemine Vivone

Since higher-order tensors are naturally suitable for representing multi-dimensional data in real-world, e.g., color images and videos, low-rank tensor representation has become one of the emerging areas in machine learning and computer…

Computer Vision and Pattern Recognition · Computer Science 2022-12-02 Yisi Luo , Xile Zhao , Zhemin Li , Michael K. Ng , Deyu Meng

Recent approaches based on transform-based tensor nuclear norm (TNN) have demonstrated notable effectiveness in hyperspectral image (HSI) inpainting by leveraging low-rank structures in latent representations. Recent developments…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Yunshan Li , Wenwu Gong , Qianqian Wang , Chao Wang , Lili Yang

Deep neural networks have achieved great success in many data processing applications. However, the high computational complexity and storage cost makes deep learning hard to be used on resource-constrained devices, and it is not…

Machine Learning · Computer Science 2023-03-27 Xinwei Ou , Zhangxin Chen , Ce Zhu , Yipeng Liu

Parallel imaging has been an essential technique to accelerate MR imaging. Nevertheless, the acceleration rate is still limited due to the ill-condition and challenges associated with the undersampled reconstruction. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2019-08-07 Yanxia Chen , Taohui Xiao , Cheng Li , Qiegen Liu , Shanshan Wang

Purpose: To systematically investigate the influence of various data consistency layers, (semi-)supervised learning and ensembling strategies, defined in a $\Sigma$-net, for accelerated parallel MR image reconstruction using deep learning.…

Image and Video Processing · Electrical Eng. & Systems 2019-12-20 Kerstin Hammernik , Jo Schlemper , Chen Qin , Jinming Duan , Ronald M. Summers , Daniel Rueckert

Registration networks have shown great application potentials in medical image analysis. However, supervised training methods have a great demand for large and high-quality labeled datasets, which is time-consuming and sometimes impractical…

Computer Vision and Pattern Recognition · Computer Science 2021-05-21 Dengqiang Jia , Shangqi Gao , Qunlong Chen , Xinzhe Luo , Xiahai Zhuang

Radio-frequency (RF) tomographic imaging is a promising technique for inferring multi-dimensional physical space by processing RF signals traversed across a region of interest. However, conventional RF tomography schemes are generally based…

Information Theory · Computer Science 2017-12-19 Tao Deng , Xiao-Yang Liu , Feng Qian , Anwar Walid

Limited view tomographic reconstruction aims to reconstruct a tomographic image from a limited number of sinogram or projection views arising from sparse view or limited angle acquisitions that reduce radiation dose or shorten scanning…

Image and Video Processing · Electrical Eng. & Systems 2020-09-04 Bo Zhou , S. Kevin Zhou , James S. Duncan , Chi Liu

Machine learning models are commonly trained end-to-end and in a supervised setting, using paired (input, output) data. Examples include recent super-resolution methods that train on pairs of (low-resolution, high-resolution) images.…

Computer Vision and Pattern Recognition · Computer Science 2021-12-10 Razvan V Marinescu , Daniel Moyer , Polina Golland

Higher-order low-rank tensor arises in many data processing applications and has attracted great interests. Inspired by low-rank approximation theory, researchers have proposed a series of effective tensor completion methods. However, most…

Computer Vision and Pattern Recognition · Computer Science 2020-06-23 Haijin Zeng , Xiaozhen Xie , Jifeng Ning
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