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We develop a novel application of hybrid information divergences to analyze uncertainty in steady-state subsurface flow problems. These hybrid information divergences are non-intrusive, goal-oriented uncertainty quantification tools that…

Probability · Mathematics 2019-07-05 Eric Joseph Hall , Markos A. Katsoulakis

Segmentation of curvilinear structures such as vasculature and road networks is challenging due to relatively weak signals and complex geometry/topology. To facilitate and accelerate large scale annotation, one has to adopt semi-automatic…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Saumya Gupta , Yikai Zhang , Xiaoling Hu , Prateek Prasanna , Chao Chen

Ensemble learning has proven effective in improving predictive performance and estimating uncertainty in neural networks. However, conventional ensemble methods often suffer from redundant parameter usage and computational inefficiencies…

Machine Learning · Computer Science 2024-12-23 Arnav Kharbanda , Advait Chandorkar

Classification and segmentation are crucial in medical image analysis as they enable accurate diagnosis and disease monitoring. However, current methods often prioritize the mutual learning features and shared model parameters, while…

Computer Vision and Pattern Recognition · Computer Science 2023-08-03 Kai Ren , Ke Zou , Xianjie Liu , Yidi Chen , Xuedong Yuan , Xiaojing Shen , Meng Wang , Huazhu Fu

Model correction is essential for reliable PDE learning when the governing physics is misspecified due to simplified assumptions or limited observations. In the machine learning literature, existing correction methods typically operate in…

Numerical Analysis · Mathematics 2026-03-27 Wenwen Zhou , Xiaodong Feng , Ling Guo , Hao Wu

While deep neural networks have become the go-to approach in computer vision, the vast majority of these models fail to properly capture the uncertainty inherent in their predictions. Estimating this predictive uncertainty can be crucial,…

Machine Learning · Computer Science 2020-04-08 Fredrik K. Gustafsson , Martin Danelljan , Thomas B. Schön

Inverse problems, such as accelerated MRI reconstruction, are ill-posed and an infinite amount of possible and plausible solutions exist. This may not only lead to uncertainty in the reconstructed image but also in downstream tasks such as…

Image and Video Processing · Electrical Eng. & Systems 2024-07-26 Jan Nikolas Morshuis , Matthias Hein , Christian F. Baumgartner

In healthcare applications, predictive uncertainty has been used to assess predictive accuracy. In this paper, we demonstrate that predictive uncertainty estimated by the current methods does not highly correlate with prediction error by…

Machine Learning · Computer Science 2021-07-08 Shi Hu , Nicola Pezzotti , Max Welling

This paper presents an innovative approach, called credal wrapper, to formulating a credal set representation of model averaging for Bayesian neural networks (BNNs) and deep ensembles (DEs), capable of improving uncertainty estimation in…

Machine Learning · Computer Science 2025-05-12 Kaizheng Wang , Fabio Cuzzolin , Keivan Shariatmadar , David Moens , Hans Hallez

We show that ensembling effectively quantifies model uncertainty in Neural Radiance Fields (NeRFs) if a density-aware epistemic uncertainty term is considered. The naive ensembles investigated in prior work simply average rendered RGB…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Niko Sünderhauf , Jad Abou-Chakra , Dimity Miller

Multi-modal learning focuses on training models by equally combining multiple input data modalities during the prediction process. However, this equal combination can be detrimental to the prediction accuracy because different modalities…

Computer Vision and Pattern Recognition · Computer Science 2022-07-25 Hu Wang , Jianpeng Zhang , Yuanhong Chen , Congbo Ma , Jodie Avery , Louise Hull , Gustavo Carneiro

Epistemic Uncertainty is a measure of the lack of knowledge of a learner which diminishes with more evidence. While existing work focuses on using the variance of the Bayesian posterior due to parameter uncertainty as a measure of epistemic…

Deep learning has played a major role in the interpretation of dermoscopic images for detecting skin defects and abnormalities. However, current deep learning solutions for dermatological lesion analysis are typically limited in providing…

Computer Vision and Pattern Recognition · Computer Science 2021-07-20 Gun-Hee Lee , Han-Bin Ko , Seong-Whan Lee

We study aleatoric and epistemic uncertainty estimation in a learned regressive system dynamics model. Disentangling aleatoric uncertainty (the inherent randomness of the system) from epistemic uncertainty (the lack of data) is crucial for…

Machine Learning · Computer Science 2025-03-21 Zhiyu An , Zhibo Hou , Wan Du

This work presents a probabilistic deep neural network that combines LiDAR point clouds and RGB camera images for robust, accurate 3D object detection. We explicitly model uncertainties in the classification and regression tasks, and…

Robotics · Computer Science 2020-02-04 Di Feng , Yifan Cao , Lars Rosenbaum , Fabian Timm , Klaus Dietmayer

Speech classification has attracted increasing attention due to its wide applications, particularly in classifying physical and mental states. However, these tasks are challenging due to the high variability in speech signals. Ensemble…

Audio and Speech Processing · Electrical Eng. & Systems 2024-07-25 Bagus Tris Atmaja , Felix Burkhardt

Detection Transformer (DETR) and its variants show strong performance on object detection, a key task for autonomous systems. However, a critical limitation of these models is that their confidence scores only reflect semantic uncertainty,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-03 Yutong Yang , Katarina Popović , Julian Wiederer , Markus Braun , Vasileios Belagiannis , Bin Yang

Obtaining meaningful quantitative descriptions of the statistical dependence within multivariate systems is a difficult open problem. Recently, the Partial Information Decomposition (PID) was proposed to decompose mutual information (MI)…

Information Theory · Computer Science 2017-02-21 Robin A. A. Ince

The Mutual Information (MI) is an often used measure of dependency between two random variables utilized in information theory, statistics and machine learning. Recently several MI estimators have been proposed that can achieve parametric…

Information Theory · Computer Science 2018-11-26 Morteza Noshad , Yu Zeng , Alfred O. Hero

We study the problem of supervised linear dimensionality reduction, taking an information-theoretic viewpoint. The linear projection matrix is designed by maximizing the mutual information between the projected signal and the class label…

Machine Learning · Computer Science 2012-07-03 Minhua Chen , William Carson , Miguel Rodrigues , Robert Calderbank , Lawrence Carin
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