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Inverse problems exist in many domains such as phase imaging, image processing, and computer vision. These problems are often solved with application-specific algorithms, even though their nature remains the same: mapping input image(s) to…

计算物理 · 物理学 2021-10-22 Feng Wang , Alberto Eljarrat , Johannes Müller , Trond Henninen , Erni Rolf , Christoph Koch

Deep generative models are rapidly gaining traction in medical imaging. Nonetheless, most generative architectures struggle to capture the underlying probability distributions of volumetric data, exhibit convergence problems, and offer no…

机器学习 · 计算机科学 2019-07-29 Guilherme Pombo , Robert Gray , Tom Varsavsky , John Ashburner , Parashkev Nachev

Inverse modeling for computing a high-dimensional spatially-varying property field from indirect sparse and noisy observations is a challenging problem. This is due to the complex physical system of interest often expressed in the form of…

计算物理 · 物理学 2021-02-22 Govinda Anantha Padmanabha , Nicholas Zabaras

Blind inverse problems in imaging arise from uncertainties in the system used to collect (noisy) measurements of images. Recovering clean images from these measurements typically requires identifying the imaging system, either implicitly or…

图像与视频处理 · 电气工程与系统科学 2025-03-28 Brett Levac , Ajil Jalal , Kannan Ramchandran , Jonathan I. Tamir

Accurate quantification of uncertainty in neural network predictions remains a central challenge for scientific applications involving high-dimensional, correlated data. While existing methods capture either aleatoric or epistemic…

机器学习 · 计算机科学 2025-08-26 Harrison J. Goldwyn , Mitchell Krock , Johann Rudi , Daniel Getter , Julie Bessac

Reconstructing medical images from partial measurements is an important inverse problem in Computed Tomography (CT) and Magnetic Resonance Imaging (MRI). Existing solutions based on machine learning typically train a model to directly map…

图像与视频处理 · 电气工程与系统科学 2022-06-17 Yang Song , Liyue Shen , Lei Xing , Stefano Ermon

Deep learning has become a popular tool for medical image analysis, but the limited availability of training data remains a major challenge, particularly in the medical field where data acquisition can be costly and subject to privacy…

图像与视频处理 · 电气工程与系统科学 2024-06-11 Aghiles Kebaili , Jérôme Lapuyade-Lahorgue , Su Ruan

This review provides an introduction to - and overview of - the current state of the art in neural-network based regularization methods for inverse problems in imaging. It aims to introduce readers with a solid knowledge in applied…

最优化与控制 · 数学 2023-12-25 Andreas Habring , Martin Holler

Fueled by the expressive power of deep neural networks, normalizing flows have achieved spectacular success in generative modeling, or learning to draw new samples from a distribution given a finite dataset of training samples. Normalizing…

机器学习 · 计算机科学 2023-05-05 Yuehaw Khoo , Michael Lindsey , Hongli Zhao

Diffusion models have emerged as the new state-of-the-art generative model with high quality samples, with intriguing properties such as mode coverage and high flexibility. They have also been shown to be effective inverse problem solvers,…

计算机视觉与模式识别 · 计算机科学 2025-10-06 Hyungjin Chung , Dohoon Ryu , Michael T. McCann , Marc L. Klasky , Jong Chul Ye

Convolutional Neural Networks (CNNs) can play a key role in Medical Image Analysis under large-scale annotated datasets. However, preparing such massive dataset is demanding. In this context, Generative Adversarial Networks (GANs) can…

图像与视频处理 · 电气工程与系统科学 2021-06-04 Changhee Han

This work investigates the detection of instabilities that may occur when utilizing deep learning models for image reconstruction tasks. Although neural networks often empirically outperform traditional reconstruction methods, their usage…

图像与视频处理 · 电气工程与系统科学 2020-03-31 Jan Macdonald , Maximilian März , Luis Oala , Wojciech Samek

Deep generative models have been studied and developed primarily in the context of natural images and computer vision. This has spurred the development of (Bayesian) methods that use these generative models for inverse problems in image…

信号处理 · 电气工程与系统科学 2025-04-17 Tristan S. W. Stevens , Jeroen Overdevest , Oisín Nolan , Wessel L. van Nierop , Ruud J. G. van Sloun , Yonina C. Eldar

Since most inverse problems arising in scientific and engineering applications are ill-posed, prior information about the solution space is incorporated, typically through regularization, to establish a well-posed problem with a unique…

信号处理 · 电气工程与系统科学 2024-06-18 Carter Lyons , Raghu G. Raj , Margaret Cheney

Purpose: Magnetic Resonance Imaging (MRI) enables non-invasive assessment of brain abnormalities during early life development. Permanent magnet scanners operating in the neonatal intensive care unit (NICU) facilitate MRI of sick infants,…

图像与视频处理 · 电气工程与系统科学 2025-05-23 Yamin Arefeen , Brett Levac , Bhairav Patel , Chang Ho , Jonathan I. Tamir

Synthetic medical image generation has evolved as a key technique for neural network training and validation. A core challenge, however, remains in the domain gap between simulations and real data. While deep learning-based domain transfer…

Inverse Problems in medical imaging and computer vision are traditionally solved using purely model-based methods. Among those variational regularization models are one of the most popular approaches. We propose a new framework for applying…

计算机视觉与模式识别 · 计算机科学 2019-01-14 Sebastian Lunz , Ozan Öktem , Carola-Bibiane Schönlieb

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

For solving linear inverse problems, particularly of the type that appears in tomographic imaging and compressive sensing, this paper develops two new approaches. The first approach is an iterative algorithm that minimizes a regularized…

信号处理 · 电气工程与系统科学 2023-11-30 Carter Lyons , Raghu G. Raj , Margaret Cheney

Deep neural network approaches to inverse imaging problems have produced impressive results in the last few years. In this paper, we consider the use of generative models in a variational regularisation approach to inverse problems. The…

图像与视频处理 · 电气工程与系统科学 2022-06-22 Margaret Duff , Neill D. F. Campbell , Matthias J. Ehrhardt