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The increasing adoption of Deep Neural Networks (DNNs) has led to their application in many challenging scientific visualization tasks. While advanced DNNs offer impressive generalization capabilities, understanding factors such as model…

Uncertainty estimation is pivotal in machine learning, especially for classification tasks, as it improves the robustness and reliability of models. We introduce a novel `Epistemic Wrapping' methodology aimed at improving uncertainty…

This work demonstrates the ability to produce readily interpretable statistical metrics for model fit, fixed effects covariance coefficients, and prediction confidence. Importantly, this work compares 4 suitable and commonly applied…

Machine Learning · Statistics 2022-11-30 Alex Treacher , Kevin Nguyen , Dylan Owens , Daniel Heitjan , Albert Montillo

Among the major challenges in neural control system technology is the validation and certification of the safety and robustness of neural network (NN) controllers against various uncertainties including unmodelled dynamics, nonlinearities,…

Systems and Control · Electrical Eng. & Systems 2025-03-27 Abdelhafid Zenati , Nabil Aouf

Uncertainty Quantification (UQ) is pivotal in enhancing the robustness, reliability, and interpretability of Machine Learning (ML) systems for healthcare, optimizing resources and improving patient care. Despite the emergence of ML-based…

Machine Learning · Computer Science 2025-05-07 L. Julián Lechuga López , Shaza Elsharief , Dhiyaa Al Jorf , Firas Darwish , Congbo Ma , Farah E. Shamout

Uncertainty quantification (UQ) is essential for deploying deep neural networks in safety-critical settings. Although methods like Deep Ensembles achieve strong UQ performance, their high computational and memory costs hinder scalability to…

Machine Learning · Computer Science 2026-04-22 Firas Gabetni , Giuseppe Curci , Andrea Pilzer , Subhankar Roy , Elisa Ricci , Gianni Franchi

Quantifying the uncertainty in model parameters and output is a critical component in model-driven decision support systems for groundwater management. This paper presents a novel algorithmic approach which fuses Markov Chain Monte Carlo…

Computation · Statistics 2021-05-26 Mikkel B. Lykkegaard , Tim J. Dodwell , David Moxey

We introduce a novel approach for calibrating uncertainty quantification (UQ) tailored for multi-modal large language models (LLMs). Existing state-of-the-art UQ methods rely on consistency among multiple responses generated by the LLM on…

The high dynamics and heterogeneous interactions in the complicated urban systems have raised the issue of uncertainty quantification in spatiotemporal human mobility, to support critical decision-makings in risk-aware web applications such…

Machine Learning · Computer Science 2021-02-12 Zhengyang Zhou , Yang Wang , Xike Xie , Lei Qiao , Yuantao Li

Bayesian neural networks (BNNs) are making significant progress in many research areas where decision-making needs to be accompanied by uncertainty estimation. Being able to quantify uncertainty while making decisions is essential for…

Machine Learning · Computer Science 2021-06-07 Martin Ferianc , Partha Maji , Matthew Mattina , Miguel Rodrigues

Brain vessel segmentation of MR scans is a critical step in the diagnosis of cerebrovascular diseases. Due to the fine vessel structure, manual vessel segmentation is time consuming. Therefore, automatic deep learning (DL) based…

Image and Video Processing · Electrical Eng. & Systems 2025-03-31 Omini Rathore , Richard Paul , Abigail Morrison , Hanno Scharr , Elisabeth Pfaehler

Uncertainty estimation (UE) techniques -- such as the Gaussian process (GP), Bayesian neural networks (BNN), Monte Carlo dropout (MCDropout) -- aim to improve the interpretability of machine learning models by assigning an estimated…

Machine Learning · Computer Science 2021-12-10 Yehao Liu , Matteo Pagliardini , Tatjana Chavdarova , Sebastian U. Stich

In the context of Monte Carlo (MC) simulation of particle transport Uncertainty Quantification (UQ) addresses the issue of predicting non statistical errors affecting the physical results, i.e. errors deriving mainly from uncertainties in…

Computational Physics · Physics 2015-06-18 Paolo Saracco , Maria Grazia Pia

Data-driven forecasts of air quality have recently achieved more accurate short-term predictions. Despite their success, most of the current data-driven solutions lack proper quantifications of model uncertainty that communicate how much to…

Machine Learning · Computer Science 2021-12-07 Abdulmajid Murad , Frank Alexander Kraemer , Kerstin Bach , Gavin Taylor

With the advent of improved computational resources, aerospace design has testing-based process to a simulation-driven procedure, wherein uncertainties in design and operating conditions are explicitly accounted for in the design under…

Fluid Dynamics · Physics 2018-03-05 Aashwin Ananda Mishra , Jayant Mukhopadhaya , Gianluca Iaccarino , Juan Alonso

A key factor for ensuring safety in Autonomous Vehicles (AVs) is to avoid any abnormal behaviors under undesirable and unpredicted circumstances. As AVs increasingly rely on Deep Neural Networks (DNNs) to perform safety-critical tasks,…

Machine Learning · Computer Science 2020-07-03 Fabio Arnez , Huascar Espinoza , Ansgar Radermacher , François Terrier

We describe a computational framework linking Uncertainty Quantification (UQ) methods for continuum problems depending on random parameters with Equation-Free (EF) methods for performing continuum deterministic numerics by acting directly…

Dynamical Systems · Mathematics 2007-05-23 Yu Zou , Ioannis G. Kevrekidis

Large Language Models (LLMs) excel in text generation, reasoning, and decision-making, enabling their adoption in high-stakes domains such as healthcare, law, and transportation. However, their reliability is a major concern, as they often…

Computation and Language · Computer Science 2025-06-05 Xiaoou Liu , Tiejin Chen , Longchao Da , Chacha Chen , Zhen Lin , Hua Wei

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

Simulating complex physical systems is crucial for understanding and predicting phenomena across diverse fields, such as fluid dynamics and heat transfer, as well as plasma physics and structural mechanics. Traditional approaches rely on…