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The data consistency for the physical forward model is crucial in inverse problems, especially in MR imaging reconstruction. The standard way is to unroll an iterative algorithm into a neural network with a forward model embedded. The…

Image and Video Processing · Electrical Eng. & Systems 2023-06-28 Guanxiong Luo , Mengmeng Kuang , Peng Cao

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

We propose a new method that uses deep learning techniques to solve the inverse problems. The inverse problem is cast in the form of learning an end-to-end mapping from observed data to the ground-truth. Inspired by the splitting strategy…

Computer Vision and Pattern Recognition · Computer Science 2017-12-04 Kai Fan , Qi Wei , Wenlin Wang , Amit Chakraborty , Katherine Heller

Deep neural networks (DNNs) have shown very promising results for various image restoration (IR) tasks. However, the design of network architectures remains a major challenging for achieving further improvements. While most existing…

Computer Vision and Pattern Recognition · Computer Science 2020-10-28 Weisheng Dong , Peiyao Wang , Wotao Yin , Guangming Shi , Fangfang Wu , Xiaotong Lu

We propose a neural network-based algorithm for solving forward and inverse problems for partial differential equations in unsupervised fashion. The solution is approximated by a deep neural network which is the minimizer of a cost…

Machine Learning · Computer Science 2019-04-12 Leah Bar , Nir Sochen

The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

Machine Learning · Computer Science 2019-01-25 Sohrab Ferdowsi

Models for image representation learning are typically designed for either recognition or generation. Various forms of contrastive learning help models learn to convert images to embeddings that are useful for classification, detection, and…

Computer Vision and Pattern Recognition · Computer Science 2026-01-21 Matthew Gwilliam , Xiao Wang , Xuefeng Hu , Zhenheng Yang

Solving inverse problems with neural networks benefits from very few theoretical guarantees when it comes to the recovery guarantees. We provide in this work convergence and recovery guarantees for self-supervised neural networks applied to…

Machine Learning · Computer Science 2025-06-04 Nathan Buskulic , Jalal Fadil , Yvain Quéau

We show that the representation of an image in a deep neural network (DNN) can be manipulated to mimic those of other natural images, with only minor, imperceptible perturbations to the original image. Previous methods for generating…

Computer Vision and Pattern Recognition · Computer Science 2016-03-07 Sara Sabour , Yanshuai Cao , Fartash Faghri , David J. Fleet

This work is concerned with the following fundamental question in scientific machine learning: Can deep-learning-based methods solve noise-free inverse problems to near-perfect accuracy? Positive evidence is provided for the first time,…

Image and Video Processing · Electrical Eng. & Systems 2022-07-13 Martin Genzel , Ingo Gühring , Jan Macdonald , Maximilian März

Differentiable rendering has been widely adopted in computer graphics as a powerful approach to inverse problems, enabling efficient gradient-based optimization by differentiating the image formation process with respect to millions of…

Despite the high performance achieved by deep neural networks on various tasks, extensive studies have demonstrated that small tweaks in the input could fail the model predictions. This issue of deep neural networks has led to a number of…

Machine Learning · Computer Science 2022-02-22 Ming-Chang Chiu , Xuezhe Ma

Electromagnetic (EM) imaging is widely applied in sensing for security, biomedicine, geophysics, and various industries. It is an ill-posed inverse problem whose solution is usually computationally expensive. Machine learning (ML)…

Computational Physics · Physics 2022-07-27 Rui Guo , Tianyao Huang , Maokun Li , Haiyang Zhang , Yonina C. Eldar

Deep learning (DL) has emerged as a leading approach in accelerating MR imaging. It employs deep neural networks to extract knowledge from available datasets and then applies the trained networks to reconstruct accurate images from limited…

Image and Video Processing · Electrical Eng. & Systems 2024-02-06 Shanshan Wang , Ruoyou Wu , Sen Jia , Alou Diakite , Cheng Li , Qiegen Liu , Leslie Ying

The application of deep learning to build accurate predictive models from functional neuroimaging data is often hindered by limited dataset sizes. Though data augmentation can help mitigate such training obstacles, most data augmentation…

Machine Learning · Computer Science 2019-10-21 Kevin P. Nguyen , Cherise Chin Fatt , Alex Treacher , Cooper Mellema , Madhukar H. Trivedi , Albert Montillo

Neural network systems describe complex mappings that can be very difficult to understand. In this paper, we study the inverse problem of determining the input images that get mapped to specific neural network classes. Ultimately, we expect…

Computer Vision and Pattern Recognition · Computer Science 2026-03-25 Rebecca Pattichis , Sebastian Janampa , Constantinos S. Pattichis , Marios S. Pattichis

In this work, we propose a model order reduction framework to deal with inverse problems in a non-intrusive setting. Inverse problems, especially in a partial differential equation context, require a huge computational load due to the…

Numerical Analysis · Mathematics 2024-01-22 Anna Ivagnes , Nicola Demo , Gianluigi Rozza

Physics-driven deep learning methods have emerged as a powerful tool for computational magnetic resonance imaging (MRI) problems, pushing reconstruction performance to new limits. This article provides an overview of the recent developments…

Image and Video Processing · Electrical Eng. & Systems 2022-10-17 Kerstin Hammernik , Thomas Küstner , Burhaneddin Yaman , Zhengnan Huang , Daniel Rueckert , Florian Knoll , Mehmet Akçakaya

Magnetic resonance imaging (MRI) is a widely used medical imaging modality. However, due to the limitations in hardware, scan time, and throughput, it is often clinically challenging to obtain high-quality MR images. The super-resolution…

Image and Video Processing · Electrical Eng. & Systems 2020-02-20 Qing Lyu , Hongming Shan , Ge Wang

Recently, researchers have utilized neural networks to accurately solve partial differential equations (PDEs), enabling the mesh-free method for scientific computation. Unfortunately, the network performance drops when encountering a high…

Machine Learning · Computer Science 2021-09-29 Pongpisit Thanasutives , Masayuki Numao , Ken-ichi Fukui