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Deep neural networks demonstrate to have a high performance on image classification tasks while being more difficult to train. Due to the complexity and vanishing gradient problem, it normally takes a lot of time and more computational…

Computer Vision and Pattern Recognition · Computer Science 2018-05-02 Mohammad Sadegh Ebrahimi , Hossein Karkeh Abadi

In this chapter we provide a theoretically founded investigation of state-of-the-art learning approaches for inverse problems from the point of view of spectral reconstruction operators. We give an extended definition of regularization…

Numerical Analysis · Mathematics 2024-06-05 Martin Burger , Samira Kabri

The paper considers the problem of performing a task defined on a model parameter that is only observed indirectly through noisy data in an ill-posed inverse problem. A key aspect is to formalize the steps of reconstruction and task as…

Computer Vision and Pattern Recognition · Computer Science 2022-10-11 Jonas Adler , Sebastian Lunz , Olivier Verdier , Carola-Bibiane Schönlieb , Ozan Öktem

This paper is concerned with the development, analysis and numerical realization of a novel variational model for the regularization of inverse problems in imaging. The proposed model is inspired by the architecture of generative…

Optimization and Control · Mathematics 2021-11-10 Andreas Habring , Martin Holler

Deep learning based fusion methods have been achieving promising performance in image fusion tasks. This is attributed to the network architecture that plays a very important role in the fusion process. However, in general, it is hard to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Hui Li , Tianyang Xu , Xiao-Jun Wu , Jiwen Lu , Josef Kittler

Artificial neural networks have advanced the frontiers of reversible steganography. The core strength of neural networks is the ability to render accurate predictions for a bewildering variety of data. Residual modulation is recognised as…

Computer Vision and Pattern Recognition · Computer Science 2023-03-08 Ching-Chun Chang , Xu Wang , Sisheng Chen , Hitoshi Kiya , Isao Echizen

Recovering a function or high-dimensional parameter vector from indirect measurements is a central task in various scientific areas. Several methods for solving such inverse problems are well developed and well understood. Recently, novel…

Numerical Analysis · Mathematics 2019-12-10 Housen Li , Johannes Schwab , Stephan Antholzer , Markus Haltmeier

Recovering images from undersampled linear measurements typically leads to an ill-posed linear inverse problem, that asks for proper statistical priors. Building effective priors is however challenged by the low train and test overhead…

Artificial Intelligence · Computer Science 2017-11-29 Morteza Mardani , Hatef Monajemi , Vardan Papyan , Shreyas Vasanawala , David Donoho , John Pauly

Iterative learning to infer approaches have become popular solvers for inverse problems. However, their memory requirements during training grow linearly with model depth, limiting in practice model expressiveness. In this work, we propose…

Machine Learning · Computer Science 2019-11-26 Patrick Putzky , Max Welling

Inverse problems arise in a number of domains such as medical imaging, remote sensing, and many more, relying on the use of advanced signal and image processing approaches -- such as sparsity-driven techniques -- to determine their…

Machine Learning · Computer Science 2019-02-01 Jaweria Amjad , Zhaoyan Lyu , Miguel R. D. Rodrigues

Deep convolutional neural networks trained on large datsets have emerged as an intriguing alternative for compressing images and solving inverse problems such as denoising and compressive sensing. However, it has only recently been realized…

Machine Learning · Computer Science 2019-07-09 Reinhard Heckel

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…

Computational Physics · Physics 2021-10-22 Feng Wang , Alberto Eljarrat , Johannes Müller , Trond Henninen , Erni Rolf , Christoph Koch

It's well-known that inverse problems are ill-posed and to solve them meaningfully one has to employ regularization methods. Traditionally, popular regularization methods have been the penalized Variational approaches. In recent years, the…

Machine Learning · Computer Science 2022-02-17 Abinash Nayak

High-resolution digital images are usually downscaled to fit various display screens or save the cost of storage and bandwidth, meanwhile the post-upscaling is adpoted to recover the original resolutions or the details in the zoom-in…

Image and Video Processing · Electrical Eng. & Systems 2020-05-13 Mingqing Xiao , Shuxin Zheng , Chang Liu , Yaolong Wang , Di He , Guolin Ke , Jiang Bian , Zhouchen Lin , Tie-Yan Liu

In recent years, large convolutional neural networks have been widely used as tools for image deblurring, because of their ability in restoring images very precisely. It is well known that image deblurring is mathematically modeled as an…

Computer Vision and Pattern Recognition · Computer Science 2023-06-01 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini , James Nagy

The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality. Unfortunately, these new methods often lack reliability and explainability, and there is a…

Image and Video Processing · Electrical Eng. & Systems 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser

Can regularization terms in the training of invertible neural networks lead to known Bayesian point estimators in reconstruction? Invertible networks are attractive for inverse problems due to their inherent stability and interpretability.…

Machine Learning · Computer Science 2025-10-31 Nick Heilenkötter

Learned image reconstruction has become a pillar in computational imaging and inverse problems. Among the most successful approaches are learned iterative networks, which are formulated by unrolling classical iterative optimisation…

Image and Video Processing · Electrical Eng. & Systems 2025-12-10 Andreas Hauptmann , Ozan Öktem

Transfer learning is a widely-used paradigm in deep learning, where models pre-trained on standard datasets can be efficiently adapted to downstream tasks. Typically, better pre-trained models yield better transfer results, suggesting that…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Hadi Salman , Andrew Ilyas , Logan Engstrom , Ashish Kapoor , Aleksander Madry

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…

Image and Video Processing · Electrical Eng. & Systems 2022-06-22 Margaret Duff , Neill D. F. Campbell , Matthias J. Ehrhardt