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In this survey paper, we review recent uses of convolution neural networks (CNNs) to solve inverse problems in imaging. It has recently become feasible to train deep CNNs on large databases of images, and they have shown outstanding…

Image and Video Processing · Electrical Eng. & Systems 2018-09-11 Michael T. McCann , Kyong Hwan Jin , Michael Unser

Deep complex-valued neural networks (CVNNs) provide a powerful way to leverage complex number operations and representations and have succeeded in several phase-based applications. However, previous networks have not fully explored the…

Image and Video Processing · Electrical Eng. & Systems 2025-03-06 Yanting Yang , Yiren Zhang , Zongyu Li , Jeffery Siyuan Tian , Matthieu Dagommer , Jia Guo

This study takes advantage of recent advances in machine learning to establish a physics-based data analytic platform for distributed reconstruction of mechanical properties in layered components from full waveform data. In this vein, two…

Numerical Analysis · Mathematics 2023-10-20 Yang Xu , Fatemeh Pourahmadian , Jian Song , Conglin Wang

We propose a method to use artificial neural networks to approximate light scattering by multilayer nanoparticles. We find the network needs to be trained on only a small sampling of the data in order to approximate the simulation to high…

Deep neural networks as image priors have been recently introduced for problems such as denoising, super-resolution and inpainting with promising performance gains over hand-crafted image priors such as sparsity and low-rank. Unlike learned…

Computer Vision and Pattern Recognition · Computer Science 2020-03-31 Gauri Jagatap , Chinmay Hegde

Learning-based methods have demonstrated remarkable performance in solving inverse problems, particularly in image reconstruction tasks. Despite their success, these approaches often lack theoretical guarantees, which are crucial in…

Numerical Analysis · Mathematics 2025-10-21 Clemens Arndt , Judith Nickel

Untrained networks inspired by deep image priors have shown promising capabilities in recovering high-quality images from noisy or partial measurements without requiring training sets. Their success is widely attributed to implicit…

Image and Video Processing · Electrical Eng. & Systems 2024-07-22 Yilin Liu , Yunkui Pang , Jiang Li , Yong Chen , Pew-Thian Yap

In electromagnetic inverse scattering, the goal is to reconstruct object permittivity using scattered waves. While deep learning has shown promise as an alternative to iterative solvers, it is primarily used in supervised frameworks which…

Neural integral equations are deep learning models based on the theory of integral equations, where the model consists of an integral operator and the corresponding equation (of the second kind) which is learned through an optimization…

Numerical Analysis · Mathematics 2025-11-14 Emanuele Zappala

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…

Optimization and Control · Mathematics 2023-12-25 Andreas Habring , Martin Holler

Self-replication is a key aspect of biological life that has been largely overlooked in Artificial Intelligence systems. Here we describe how to build and train self-replicating neural networks. The network replicates itself by learning to…

Artificial Intelligence · Computer Science 2018-05-28 Oscar Chang , Hod Lipson

In numerous practical applications, especially in medical image reconstruction, it is often infeasible to obtain a large ensemble of ground-truth/measurement pairs for supervised learning. Therefore, it is imperative to develop unsupervised…

Image and Video Processing · Electrical Eng. & Systems 2021-03-31 Subhadip Mukherjee , Ozan Öktem , Carola-Bibiane Schönlieb

Deep learning methods have been successfully used in various computer vision tasks. Inspired by that success, deep learning has been explored in magnetic resonance imaging (MRI) reconstruction. In particular, integrating deep learning and…

Image and Video Processing · Electrical Eng. & Systems 2023-10-06 Peizhou Huang , Chaoyi Zhang , Xiaoliang Zhang , Xiaojuan Li , Liang Dong , Leslie Ying

Spectral density functions quantify how environmental modes couple to quantum systems and govern their open dynamics. Inferring such frequency-dependent functions from time-domain measurements is an ill-conditioned inverse problem. Here, we…

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

Image and Video Processing · Electrical Eng. & Systems 2020-07-20 Dongdong Chen , Mike E. Davies

The performance of approaches to Music Instrument Classification, a popular task in Music Information Retrieval, is often impacted and limited by the lack of availability of annotated data for training. We propose to address this issue with…

Sound · Computer Science 2022-11-16 Hsin-Hung Chen , Alexander Lerch

Ultrasound imaging is caught between the quest for the highest image quality, and the necessity for clinical usability. Our contribution is two-fold: First, we propose a novel fully convolutional neural network for ultrasound…

Computer Vision and Pattern Recognition · Computer Science 2019-04-10 Walter Simson , Rüdiger Göbl , Magdalini Paschali , Markus Krönke , Klemens Scheidhauer , Wolfgang Weber , Nassir Navab

We consider the task of solving generic inverse problems, where one wishes to determine the hidden parameters of a natural system that will give rise to a particular set of measurements. Recently many new approaches based upon deep learning…

Machine Learning · Computer Science 2021-10-13 Simiao Ren , Willie Padilla , Jordan Malof

Deep neural networks have proven extremely efficient at solving a wide rangeof inverse problems, but most often the uncertainty on the solution they provideis hard to quantify. In this work, we propose a generic Bayesian framework…

Machine Learning · Statistics 2020-11-18 Zaccharie Ramzi , Benjamin Remy , Francois Lanusse , Jean-Luc Starck , Philippe Ciuciu

Deep learning frameworks have become powerful tools for approaching scientific problems such as turbulent flow, which has wide-ranging applications. In practice, however, existing scientific machine learning approaches have difficulty…

Machine Learning · Computer Science 2024-07-25 Jakin Ng , Yongji Wang , Ching-Yao Lai