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Deep learning-based image restoration methods generally struggle with faithfully preserving the structures of the original image. In this work, we propose a novel Residual-Conditioned Optimal Transport (RCOT) approach, which models image…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Xiaole Tang , Xin Hu , Xiang Gu , Jian Sun

Magnetic Resonance Imaging (MRI) has long been considered to be among "the gold standards" of diagnostic medical imaging. The long acquisition times, however, render MRI prone to motion artifacts, let alone their adverse contribution to the…

Image and Video Processing · Electrical Eng. & Systems 2021-04-14 Tomer Weiss , Ortal Senouf , Sanketh Vedula , Oleg Michailovich , Michael Zibulevsky , Alex Bronstein

Training data are usually limited or heterogeneous in many chemical and biological applications. Existing machine learning models for chemistry and materials science fail to consider generalizing beyond training domains. In this article, we…

Machine Learning · Computer Science 2023-10-31 Fang Wu , Nicolas Courty , Shuting Jin , Stan Z. Li

Optimal transport has been an essential tool for reconstructing dynamics from complex data. With the increasingly available multifaceted data, a system can often be characterized across multiple spaces. Therefore, it is crucial to maintain…

Optimization and Control · Mathematics 2024-06-06 Zixuan Cang , Yanxiang Zhao

Optimal transport aligns samples across distributions by minimizing the transportation cost between them, e.g., the geometric distances. Yet, it ignores coherence structure in the data such as clusters, does not handle outliers well, and…

Machine Learning · Computer Science 2023-05-31 Ching-Yao Chuang , Stefanie Jegelka , David Alvarez-Melis

All-in-one image restoration has emerged as a practical and promising low-level vision task for real-world applications. In this context, the key issue lies in how to deal with different types of degraded images simultaneously. In this…

Computer Vision and Pattern Recognition · Computer Science 2024-11-05 Xiaole Tang , Xiang Gu , Xiaoyi He , Xin Hu , Jian Sun

Recent advances in data-centric deep generative models have led to significant progress in solving inverse imaging problems. However, these models (e.g., diffusion models (DMs)) typically require large amounts of fully sampled (clean)…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Shijun Liang , Ismail R. Alkhouri , Siddhant Gautam , Qing Qu , Saiprasad Ravishankar

Optimal Transport (OT) theory investigates the cost-minimizing transport map that moves a source distribution to a target distribution. Recently, several approaches have emerged for learning the optimal transport map for a given cost…

Machine Learning · Computer Science 2025-04-01 Jaemoo Choi , Yongxin Chen , Jaewoong Choi

In this work, we propose a novel machine learning approach to compute the optimal transport map between two continuous distributions from their unpaired samples, based on the DeepParticle methods. The proposed method leads to a min-min…

Machine Learning · Statistics 2025-07-01 Yingyuan Li , Aokun Wang , Zhongjian Wang

Recently, much progress has been made in unsupervised denoising learning. However, existing methods more or less rely on some assumptions on the signal and/or degradation model, which limits their practical performance. How to construct an…

Image and Video Processing · Electrical Eng. & Systems 2022-04-29 Wei Wang , Fei Wen , Zeyu Yan , Peilin Liu

Inverse boundary value problems for the radiative transport equation play important roles in optics-based medical imaging techniques such as diffuse optical tomography (DOT) and fluorescence optical tomography (FOT). Despite the rapid…

Numerical Analysis · Mathematics 2015-06-19 Tian Ding , Kui Ren

Reconstructing dynamics using samples from sparsely time-resolved snapshots is an important problem in both natural sciences and machine learning. Here, we introduce a new deep learning approach for solving regularized unbalanced optimal…

Machine Learning · Computer Science 2025-05-09 Zhenyi Zhang , Tiejun Li , Peijie Zhou

Medical imaging is nowadays a pillar in diagnostics and therapeutic follow-up. Current research tries to integrate established - but ionizing - tomographic techniques with technologies offering reduced radiation exposure. Diffuse Optical…

Numerical Analysis · Mathematics 2024-02-15 Alessandro Benfenati , Paola Causin , Martina Quinteri

A major challenge of the long measurement times in magnetic resonance imaging (MRI), an important medical imaging technology, is that patients may move during data acquisition. This leads to severe motion artifacts in the reconstructed…

Image and Video Processing · Electrical Eng. & Systems 2024-09-17 Tobit Klug , Kun Wang , Stefan Ruschke , Reinhard Heckel

One of the key challenges in high speed off road navigation on ground vehicles is that the kinodynamics of the vehicle terrain interaction can differ dramatically depending on the terrain. Previous approaches to addressing this challenge…

In this paper, we review physics- and data-driven reconstruction techniques for simultaneous positron emission tomography (PET) / magnetic resonance imaging (MRI) systems, which have significant advantages for clinical imaging of cancer,…

Image and Video Processing · Electrical Eng. & Systems 2022-06-15 Abhejit Rajagopal , Andrew P. Leynes , Nicholas Dwork , Jessica E. Scholey , Thomas A. Hope , Peder E. Z. Larson

Motion artifacts are a pervasive problem in MRI, leading to misdiagnosis or mischaracterization in population-level imaging studies. Current retrospective rigid intra-slice motion correction techniques jointly optimize estimates of the…

Image and Video Processing · Electrical Eng. & Systems 2023-11-17 Nalini M. Singh , Neel Dey , Malte Hoffmann , Bruce Fischl , Elfar Adalsteinsson , Robert Frost , Adrian V. Dalca , Polina Golland

We propose an image restoration algorithm that can control the perceptual quality and/or the mean square error (MSE) of any pre-trained model, trading one over the other at test time. Our algorithm is few-shot: Given about a dozen images…

Artificial Intelligence · Computer Science 2024-08-13 Theo Adrai , Guy Ohayon , Tomer Michaeli , Michael Elad

We propose a novel unsupervised deep-learning-based algorithm for dynamic magnetic resonance imaging (MRI) reconstruction. Dynamic MRI requires rapid data acquisition for the study of moving organs such as the heart. Existing reconstruction…

Image and Video Processing · Electrical Eng. & Systems 2021-01-26 Jaejun Yoo , Kyong Hwan Jin , Harshit Gupta , Jerome Yerly , Matthias Stuber , Michael Unser

The ability of deep image prior (DIP) to recover high-quality images from incomplete or corrupted measurements has made it popular in inverse problems in image restoration and medical imaging including magnetic resonance imaging (MRI).…

Computer Vision and Pattern Recognition · Computer Science 2024-02-09 Shijun Liang , Evan Bell , Qing Qu , Rongrong Wang , Saiprasad Ravishankar
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