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Deep neural networks (NNs) are powerful black box predictors that have recently achieved impressive performance on a wide spectrum of tasks. Quantifying predictive uncertainty in NNs is a challenging and yet unsolved problem. Bayesian NNs,…

Machine Learning · Statistics 2017-11-07 Balaji Lakshminarayanan , Alexander Pritzel , Charles Blundell

$\bf{Purpose:}$ The goal of this study was (i) to use artificial intelligence to automate the traditionally labor-intensive process of manual segmentation of tumor regions in pathology slides performed by a pathologist and (ii) to validate…

Uncertainty quantification for image data is dominated by complex deep learning methods, yet the field lacks an interpretable, mathematically grounded baseline. We propose Bayesian scattering to fill this gap, serving as a first-step…

Machine Learning · Computer Science 2026-03-24 Bernardo Fichera , Zarko Ivkovic , Kjell Jorner , Philipp Hennig , Viacheslav Borovitskiy

Organ at risk (OAR) segmentation in computed tomography (CT) imagery is a difficult task for automated segmentation methods and can be crucial for downstream radiation treatment planning. U-net has become a de-facto standard for medical…

Image and Video Processing · Electrical Eng. & Systems 2024-02-27 Abdullah Nazib , Riad Hassan , Zahidul Islam , Clinton Fookes

Bayesian Neural Networks provide a principled framework for uncertainty quantification by modeling the posterior distribution of network parameters. However, exact posterior inference is computationally intractable, and widely used…

Machine Learning · Computer Science 2025-12-02 Alfredo Reichlin , Miguel Vasco , Danica Kragic

We propose to use techniques from Bayesian inference and deep neural networks to translate uncertainty in seismic imaging to uncertainty in tasks performed on the image, such as horizon tracking. Seismic imaging is an ill-posed inverse…

Geophysics · Physics 2022-06-17 Ali Siahkoohi , Gabrio Rizzuti , Felix J. Herrmann

Accurate global glacier mapping is critical for understanding climate change impacts. Despite its importance, automated glacier mapping at a global scale remains largely unexplored. Here we address this gap and propose…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Konstantin A. Maslov , Claudio Persello , Thomas Schellenberger , Alfred Stein

We propose a parameter efficient Bayesian layer for hierarchical convolutional Gaussian Processes that incorporates Gaussian Processes operating in Wasserstein-2 space to reliably propagate uncertainty. This directly replaces convolving…

Machine Learning · Statistics 2021-04-29 Sebastian G. Popescu , David J. Sharp , James H. Cole , Konstantinos Kamnitsas , Ben Glocker

Data uncertainties, such as sensor noise, occlusions or limitations in the acquisition method can introduce irreducible ambiguities in images, which result in varying, yet plausible, semantic hypotheses. In Machine Learning, this ambiguity…

Computer Vision and Pattern Recognition · Computer Science 2024-08-21 M. M. Amaan Valiuddin , Christiaan G. A. Viviers , Ruud J. G. van Sloun , Peter H. N. de With , Fons van der Sommen

Understanding the uncertainty of a neural network's (NN) predictions is essential for many purposes. The Bayesian framework provides a principled approach to this, however applying it to NNs is challenging due to large numbers of parameters…

Machine Learning · Statistics 2020-02-27 Tim Pearce , Felix Leibfried , Alexandra Brintrup , Mohamed Zaki , Andy Neely

Recent studies have shown that ensemble approaches could not only improve accuracy and but also estimate model uncertainty in deep learning. However, it requires a large number of parameters according to the increase of ensemble models for…

Computer Vision and Pattern Recognition · Computer Science 2020-05-25 Hong Joo Lee , Seong Tae Kim , Hakmin Lee , Nassir Navab , Yong Man Ro

We introduce implicit Bayesian neural networks, a simple and scalable approach for uncertainty representation in deep learning. Standard Bayesian approach to deep learning requires the impractical inference of the posterior distribution…

Machine Learning · Statistics 2020-10-27 Trung Trinh , Samuel Kaski , Markus Heinonen

Optical coherence tomography (OCT) is commonly used to analyze retinal layers for assessment of ocular diseases. In this paper, we propose a method for retinal layer segmentation and quantification of uncertainty based on Bayesian deep…

Computer Vision and Pattern Recognition · Computer Science 2018-09-13 Suman Sedai , Bhavna Antony , Dwarikanath Mahapatra , Rahil Garnavi

Automated medical image segmentation, specifically using deep learning, has shown outstanding performance in semantic segmentation tasks. However, these methods rarely quantify their uncertainty, which may lead to errors in downstream…

Computer Vision and Pattern Recognition · Computer Science 2018-06-25 Zach Eaton-Rosen , Felix Bragman , Sotirios Bisdas , Sebastien Ourselin , M. Jorge Cardoso

Medical imaging only indirectly measures the molecular identity of the tissue within each voxel, which often produces only ambiguous image evidence for target measures of interest, like semantic segmentation. This diversity and the…

Bayesian inference can quantify uncertainty in the predictions of neural networks using posterior distributions for model parameters and network output. By looking at these posterior distributions, one can separate the origin of uncertainty…

Machine Learning · Computer Science 2023-11-23 H. Linander , O. Balabanov , H. Yang , B. Mehlig

Neural networks make accurate predictions but often fail to provide reliable uncertainty estimates, especially under covariate distribution shifts between training and testing. To address this problem, we propose a Bayesian framework for…

Machine Learning · Statistics 2025-12-22 Yuli Slavutsky , David M. Blei

In this article, we improve the deep learning solution for coastline extraction from Synthetic Aperture Radar (SAR) images by proposing a two-stage model involving image classification followed by segmentation. We hypothesize that a single…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Vidhu Arora , Shreyan Gupta , Ananthakrishna Kudupu , Aditya Priyadarshi , Aswathi Mundayatt , Jaya Sreevalsan-Nair

We describe Bayesian Layers, a module designed for fast experimentation with neural network uncertainty. It extends neural network libraries with drop-in replacements for common layers. This enables composition via a unified abstraction…

Machine Learning · Computer Science 2019-03-07 Dustin Tran , Michael W. Dusenberry , Mark van der Wilk , Danijar Hafner

Accurate and reliable tumor segmentation is essential in medical imaging analysis for improving diagnosis, treatment planning, and monitoring. However, existing segmentation models often lack robust mechanisms for quantifying the…

Image and Video Processing · Electrical Eng. & Systems 2025-03-14 Seyed Sina Ziaee , Farhad Maleki , Katie Ovens