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Uncertainty quantification for inverse problems in imaging has drawn much attention lately. Existing approaches towards this task define uncertainty regions based on probable values per pixel, while ignoring spatial correlations within the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Omer Belhasin , Yaniv Romano , Daniel Freedman , Ehud Rivlin , Michael Elad

We propose a new approach for the problem of relative depth estimation from a single image. Instead of directly regressing over depth scores, we formulate the problem as estimation of a probability distribution over depth and aim to learn…

Computer Vision and Pattern Recognition · Computer Science 2020-10-15 Alican Mertan , Yusuf Huseyin Sahin , Damien Jade Duff , Gozde Unal

Diffusion Probabilistic Models (DPMs) have recently been employed for image deblurring, formulated as an image-conditioned generation process that maps Gaussian noise to the high-quality image, conditioned on the blurry input.…

Computer Vision and Pattern Recognition · Computer Science 2023-12-14 Mengwei Ren , Mauricio Delbracio , Hossein Talebi , Guido Gerig , Peyman Milanfar

Uncertainty quantification is an important and challenging problem in deep learning. Previous methods rely on dropout layers which are not present in modern deep architectures or batch normalization which is sensitive to batch sizes. In…

Computer Vision and Pattern Recognition · Computer Science 2020-07-10 Lukasz Wandzik , Raul Vicente Garcia , Jörg Krüger

In ill-posed inverse problems, it is commonly desirable to obtain insight into the full spectrum of plausible solutions, rather than extracting only a single reconstruction. Information about the plausible solutions and their likelihoods is…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Omer Yair , Elias Nehme , Tomer Michaeli

Random field and random cluster theory are used to describe certain mathematical results concerning the probability distribution of image pixel intensities characterized as generic $2D$ integer arrays. The size of the smallest bounded…

Image and Video Processing · Electrical Eng. & Systems 2023-04-27 Robert A. Murphy

By circumventing the resolution limitations of optics, coherent diffractive imaging (CDI) and ptychography are making their way into scientific fields ranging from X-ray imaging to astronomy. Yet, the need for time consuming iterative phase…

Computational Physics · Physics 2023-10-13 Oliver Hoidn , Aashwin Ananda Mishra , Apurva Mehta

Deep learning (DL) has emerged as a tool for improving accelerated MRI reconstruction. A common strategy among DL methods is the physics-based approach, where a regularized iterative algorithm alternating between data consistency and a…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Burhaneddin Yaman , Seyed Amir Hossein Hosseini , Steen Moeller , Jutta Ellermann , Kâmil Uǧurbil , Mehmet Akçakaya

In this study, we propose a high-performance disparity (depth) estimation method using dual-pixel (DP) images with few parameters. Conventional end-to-end deep-learning methods have many parameters but do not fully exploit disparity…

Computer Vision and Pattern Recognition · Computer Science 2024-11-08 Teppei Kurita , Yuhi Kondo , Legong Sun , Takayuki Sasaki , Sho Nitta , Yasuhiro Hashimoto , Yoshinori Muramatsu , Yusuke Moriuchi

Uncertainty estimation, which provides a means of building explainable neural networks for medical imaging applications, have mostly been studied for single deep learning models that focus on a specific task. In this paper, we propose a…

Computer Vision and Pattern Recognition · Computer Science 2023-10-02 Leonhard F. Feiner , Martin J. Menten , Kerstin Hammernik , Paul Hager , Wenqi Huang , Daniel Rueckert , Rickmer F. Braren , Georgios Kaissis

Quantitative phase imaging (QPI) has been widely applied in characterizing cells and tissues. Spatial light interference microscopy (SLIM) is a highly sensitive QPI method, due to its partially coherent illumination and common path…

Image and Video Processing · Electrical Eng. & Systems 2024-06-12 Yuheng Jiao , Yuchen R. He , Mikhail E. Kandel , Xiaojun Liu , Wenlong Lu , Gabriel Popescu

This paper considers the generation of prediction intervals (PIs) by neural networks for quantifying uncertainty in regression tasks. It is axiomatic that high-quality PIs should be as narrow as possible, whilst capturing a specified…

Machine Learning · Statistics 2019-04-10 Tim Pearce , Mohamed Zaki , Alexandra Brintrup , Andy Neely

Although deep learning (DL) has received much attention in accelerated magnetic resonance imaging (MRI), recent studies show that tiny input perturbations may lead to instabilities of DL-based MRI reconstruction models. However, the…

Image and Video Processing · Electrical Eng. & Systems 2022-11-22 Jinghan Jia , Mingyi Hong , Yimeng Zhang , Mehmet Akçakaya , Sijia Liu

Diffusion MRI (dMRI) is the primary imaging modality used to study brain microstructure in vivo. Reliable and computationally efficient parameter inference for common dMRI biophysical models is a challenging inverse problem, due to factors…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 William Consagra , Lipeng Ning , Yogesh Rathi

Ptychography, as an essential tool for high-resolution and nondestructive material characterization, presents a challenging large-scale nonlinear and non-convex inverse problem; however, its intrinsic photon statistics create clear…

Machine Learning · Statistics 2021-11-02 Agnimitra Dasgupta , Zichao Wendy Di

Recent advances in deep learning have shown that uncertainty estimation is becoming increasingly important in applications such as medical imaging, natural language processing, and autonomous systems. However, accurately quantifying…

Machine Learning · Computer Science 2023-07-04 Uddeshya Upadhyay , Jae Myung Kim , Cordelia Schmidt , Bernhard Schölkopf , Zeynep Akata

Variational methods are widely applied to ill-posed inverse problems for they have the ability to embed prior knowledge about the solution. However, the level of performance of these methods significantly depends on a set of parameters,…

Optimization and Control · Mathematics 2020-01-23 Carla Bertocchi , Emilie Chouzenoux , Marie-Caroline Corbineau , Jean-Christophe Pesquet , Marco Prato

With the widespread success of deep neural networks in science and technology, it is becoming increasingly important to quantify the uncertainty of the predictions produced by deep learning. In this paper, we introduce a new method that…

Machine Learning · Computer Science 2019-08-15 Qingyang Wu , He Li , Lexin Li , Zhou Yu

Quantitative phase imaging (QPI) is an emerging label-free technique that produces images containing morphological and dynamical information without contrast agents. Unfortunately, the phase is wrapped in most imaging system. Phase…

Image and Video Processing · Electrical Eng. & Systems 2021-09-01 Fangshu Yang , Thanh-an Pham , Nathalie Brandenberg , Matthias P. Lutolf , Jianwei Ma , Michael Unser

Modern image restoration and super-resolution methods utilize deep learning due to its superior performance compared to traditional algorithms. However, deep learning typically requires large labeled training datasets, which are rarely…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Suraj Singh , Anastasia Batsheva , Oleg Y. Rogov , Ahmed Bouridane
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