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Inverse problems span across diverse fields. In medical contexts, computed tomography (CT) plays a crucial role in reconstructing a patient's internal structure, presenting challenges due to artifacts caused by inherently ill-posed inverse…

Image and Video Processing · Electrical Eng. & Systems 2024-04-01 Ishak Ayad , Nicolas Larue , Maï K. Nguyen

Recently, deep unfolding methods that guide the design of deep neural networks (DNNs) through iterative algorithms have received increasing attention in the field of inverse problems. Unlike general end-to-end DNNs, unfolding methods have…

Optimization and Control · Mathematics 2022-11-28 Zhuo-Xu Cui , Qingyong Zhu , Jing Cheng , Dong Liang

The high complexity of various inverse problems poses a significant challenge to model-based reconstruction schemes, which in such situations often reach their limits. At the same time, we witness an exceptional success of data-based…

Computer Vision and Pattern Recognition · Computer Science 2019-09-04 T. A. Bubba , G. Kutyniok , M. Lassas , M. März , W. Samek , S. Siltanen , V. Srinivasan

Physiological motion can affect the diagnostic quality of magnetic resonance imaging (MRI). While various retrospective motion correction methods exist, many struggle to generalize across different motion types and body regions. In…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Qi Wang , Veronika Ecker , Marcel Früh , Sergios Gatidis , Thomas Küstner

In the area of magnetic resonance imaging (MRI), an extensive range of non-linear reconstruction algorithms have been proposed that can be used with general Fourier subsampling patterns. However, the design of these subsampling patterns has…

Image and Video Processing · Electrical Eng. & Systems 2018-05-04 Baran Gözcü , Rabeeh Karimi Mahabadi , Yen-Huan Li , Efe Ilıcak , Tolga Çukur , Jonathan Scarlett , Volkan Cevher

Compressed Sensing MRI reconstructs images of the body's internal anatomy from undersampled measurements, thereby reducing scan time. Recently, deep learning has shown great potential for reconstructing high-fidelity images from highly…

Image and Video Processing · Electrical Eng. & Systems 2025-04-07 Armeet Singh Jatyani , Jiayun Wang , Aditi Chandrashekar , Zihui Wu , Miguel Liu-Schiaffini , Bahareh Tolooshams , Anima Anandkumar

Learning-based single image super-resolution (SISR) methods are continuously showing superior effectiveness and efficiency over traditional model-based methods, largely due to the end-to-end training. However, different from model-based…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 Kai Zhang , Luc Van Gool , Radu Timofte

We present a new approach for representing and reconstructing multidimensional magnetic resonance imaging (MRI) data. Our method builds on a novel, learned feature-based image representation that disentangles different types of features,…

Image and Video Processing · Electrical Eng. & Systems 2026-01-01 Ruiyang Zhao , Fan Lam

Smoothed analysis is a powerful paradigm in overcoming worst-case intractability in unsupervised learning and high-dimensional data analysis. While polynomial time smoothed analysis guarantees have been obtained for worst-case intractable…

Data Structures and Algorithms · Computer Science 2019-04-25 Aditya Bhaskara , Aidao Chen , Aidan Perreault , Aravindan Vijayaraghavan

There are various inverse problems -- including reconstruction problems arising in medical imaging -- where one is often aware of the forward operator that maps variables of interest to the observations. It is therefore natural to ask…

Image and Video Processing · Electrical Eng. & Systems 2020-06-23 Jaweria Amjad , Zhaoyan Lyu , Miguel R. D. Rodrigues

Functional Magnetic Resonance Imaging (fMRI) is a neuroimaging technique with pivotal importance due to its scientific and clinical applications. As with any widely used imaging modality, there is a need to ensure the quality of the same,…

Image and Video Processing · Electrical Eng. & Systems 2020-09-29 David Calhas , Rui Henriques

Magnetic resonance imaging (MRI) is renowned for its exceptional soft tissue contrast and high spatial resolution, making it a pivotal tool in medical imaging. The integration of deep learning algorithms offers significant potential for…

Image and Video Processing · Electrical Eng. & Systems 2024-06-06 Wanyu Bian

Near isometric orthogonal embeddings to lower dimensions are a fundamental tool in data science and machine learning. In this paper, we present the construction of such embeddings that minimizes the maximum distortion for a given set of…

Machine Learning · Statistics 2017-12-15 Kshiteej Sheth , Dinesh Garg , Anirban Dasgupta

We propose a dictionary-matching-free pipeline for multi-parametric quantitative MRI image computing. Our approach has two stages based on compressed sensing reconstruction and deep learned quantitative inference. The reconstruction phase…

Computer Vision and Pattern Recognition · Computer Science 2020-04-23 Mohammad Golbabaee , Guido Buonincontri , Carolin Pirkl , Marion Menzel , Bjoern Menze , Mike Davies , Pedro Gomez

We propose an unrolled algorithm approach for learning spatially adaptive parameter maps in the framework of convolutional synthesis-based $\ell_1$ regularization. More precisely, we consider a family of pre-trained convolutional filters…

Machine Learning · Computer Science 2025-10-23 Andreas Kofler , Luca Calatroni , Christoph Kolbitsch , Kostas Papafitsoros

Following the success of deep learning in a wide range of applications, neural network-based machine learning techniques have received interest as a means of accelerating magnetic resonance imaging (MRI). A number of ideas inspired by deep…

Signal Processing · Electrical Eng. & Systems 2019-04-03 Florian Knoll , Kerstin Hammernik , Chi Zhang , Steen Moeller , Thomas Pock , Daniel K. Sodickson , Mehmet Akcakaya

Anomaly detection (AD) is increasingly recognized as a key component for ensuring the resilience of future communication systems. While deep learning has shown state-of-the-art AD performance, its application in critical systems is hindered…

Machine Learning · Computer Science 2025-10-29 Lukas Schynol , Marius Pesavento

The problem of sparse multichannel blind deconvolution (S-MBD) arises frequently in many engineering applications such as radar/sonar/ultrasound imaging. To reduce its computational and implementation cost, we propose a compression method…

Signal Processing · Electrical Eng. & Systems 2023-07-05 Bahareh Tolooshams , Satish Mulleti , Demba Ba , Yonina C. Eldar

Efficient and fast reconstruction of anatomical structures plays a crucial role in clinical practice. Minimizing retrieval and processing times not only potentially enhances swift response and decision-making in critical scenarios but also…

The great success of Deep Neural Networks (DNNs) has inspired the algorithmic development of DNN-based Fixed-Point (DNN-FP) for computer vision tasks. DNN-FP methods, trained by Back-Propagation Through Time or computing the inaccurate…

Computer Vision and Pattern Recognition · Computer Science 2023-01-31 Peng Qiao , Sidun Liu , Tao Sun , Ke Yang , Yong Dou