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The vast majority of uncertainty quantification methods for deep object detectors such as variational inference are based on the network output. Here, we study gradient-based epistemic uncertainty metrics for deep object detectors to obtain…

Computer Vision and Pattern Recognition · Computer Science 2022-03-21 Tobias Riedlinger , Matthias Rottmann , Marius Schubert , Hanno Gottschalk

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

Efficient uncertainty quantification algorithms are key to understand the propagation of uncertainty -- from uncertain input parameters to uncertain output quantities -- in high resolution mathematical models of brain physiology. Advanced…

Computational Engineering, Finance, and Science · Computer Science 2023-01-10 Matteo Croci , Vegard Vinje , Marie E. Rognes

Convolutional neural network (CNN) has achieved unprecedented success in image super-resolution tasks in recent years. However, the network's performance depends on the distribution of the training sets and degrades on out-of-distribution…

Computer Vision and Pattern Recognition · Computer Science 2021-05-20 Aupendu Kar , Prabir Kumar Biswas

Fluorescence microscopy images contain several channels, each indicating a marker staining the sample. Since many different marker combinations are utilized in practice, it has been challenging to apply deep learning based segmentation…

Computer Vision and Pattern Recognition · Computer Science 2021-01-28 Alvaro Gomariz , Raphael Egli , Tiziano Portenier , César Nombela-Arrieta , Orcun Goksel

Active learning (AL) has found wide applications in medical image segmentation, aiming to alleviate the annotation workload and enhance performance. Conventional uncertainty-based AL methods, such as entropy and Bayesian, often rely on an…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Siteng Ma , Haochang Wu , Aonghus Lawlor , Ruihai Dong

Uncertainty Sampling is an Active Learning strategy that aims to improve the data efficiency of machine learning models by iteratively acquiring labels of data points with the highest uncertainty. While it has proven effective for…

Machine Learning · Computer Science 2025-02-28 Dominik Fuchsgruber , Tom Wollschläger , Bertrand Charpentier , Antonio Oroz , Stephan Günnemann

Measuring cross-sectional areas in ultrasound images is a standard tool to evaluate disease progress or treatment response. Often addressed today with supervised deep-learning segmentation approaches, existing solutions highly depend upon…

Image and Video Processing · Electrical Eng. & Systems 2023-08-21 Vanessa Gonzalez Duque , Leonhard Zirus , Yordanka Velikova , Nassir Navab , Diana Mateus

Uncertainty maps highlight unreliable regions in segmentation predictions. However, most uncertainty evaluation metrics treat voxels independently, ignoring spatial context and anatomical structure. As a result, they may assign identical…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Tal Zeevi , Eléonore V. Lieffrig , Lawrence H. Staib , John A. Onofrey

This paper presents a novel numerical method for the hybrid reliability analysis by using the uncertainty theory. Aleatory uncertainty and epistemic uncertainty are considered simultaneously in this method. Epistemic uncertainty is…

Computational Engineering, Finance, and Science · Computer Science 2020-09-18 Lei Zhang

Uncertainty quantification for deep learning is a challenging open problem. Bayesian statistics offer a mathematically grounded framework to reason about uncertainties; however, approximate posteriors for modern neural networks still…

Machine Learning · Statistics 2020-01-23 Nicolas Brosse , Carlos Riquelme , Alice Martin , Sylvain Gelly , Éric Moulines

Semi-supervised learning relaxes the need of large pixel-wise labeled datasets for image segmentation by leveraging unlabeled data. A prominent way to exploit unlabeled data is to regularize model predictions. Since the predictions of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Sukesh Adiga , Jose Dolz , Herve Lombaert

We introduce a Monte Carlo Virtual Element estimator based on Virtual Element discretizations for stochastic elliptic partial differential equations with random diffusion coefficients. We prove estimates for the statistical approximation…

Numerical Analysis · Mathematics 2026-04-16 Paola F. Antonietti , Francesca Bonizzoni , Ilaria Perugia , Marco Verani

Classifying variable stars is key for understanding stellar evolution and galactic dynamics. With the demands of large astronomical surveys, machine learning models, especially attention-based neural networks, have become the…

Instrumentation and Methods for Astrophysics · Physics 2025-07-09 Martina Cádiz-Leyton , Guillermo Cabrera-Vives , Pavlos Protopapas , Daniel Moreno-Cartagena , Cristobal Donoso-Oliva , Ignacio Becker

This study examines the role of uncertainty estimation (UE) methods in multilingual text classification under noisy and non-topical conditions. Using a complex-vs-simple sentence classification task across several languages, we evaluate a…

Computation and Language · Computer Science 2026-03-10 Nouran Khallaf , Serge Sharoff

While deep ensembles are widely considered to be the default method for uncertainty quantification in deep learning, their effectiveness for graph-structured data is often simply assumed based on successes in domains like computer vision.…

Machine Learning · Computer Science 2026-05-22 Pedro C. Vieira , Pedro Ribeiro , Viacheslav Borovitskiy

We propose a multi-index algorithm for the Monte Carlo (MC) discretization of a linear, elliptic PDE with affine-parametric input. We prove an error vs. work analysis which allows a multi-level finite-element approximation in the physical…

Numerical Analysis · Mathematics 2019-07-18 Josef Dick , Michael Feischl , Christoph Schwab

Measuring uncertainty is a promising technique for detecting adversarial examples, crafted inputs on which the model predicts an incorrect class with high confidence. But many measures of uncertainty exist, including predictive en- tropy…

Machine Learning · Statistics 2018-03-26 Lewis Smith , Yarin Gal

We introduce a novel framework for AI-generated image detection through epistemic uncertainty, aiming to address critical security concerns in the era of generative models. Our key insight stems from the observation that distributional…

Computer Vision and Pattern Recognition · Computer Science 2025-11-04 Jun Nie , Yonggang Zhang , Tongliang Liu , Yiu-ming Cheung , Bo Han , Xinmei Tian

This paper considers the problem of optimizing the average tracking error for an elliptic partial differential equation with an uncertain lognormal diffusion coefficient. In particular, the application of the multilevel quasi-Monte Carlo…

Numerical Analysis · Mathematics 2021-09-30 Philipp A. Guth , Andreas Van Barel
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