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Emergence of artificial intelligence techniques in biomedical applications urges the researchers to pay more attention on the uncertainty quantification (UQ) in machine-assisted medical decision making. For classification tasks, prior…

机器学习 · 计算机科学 2019-09-17 Xiaoyang Huang , Jiancheng Yang , Linguo Li , Haoran Deng , Bingbing Ni , Yi Xu

The present paper aims at applying uncertainty quantification methodologies to process simulations of powder bed fusion of metal. In particular, for a part-scale thermomechanical model of an Inconel 625 super-alloy beam, we study the…

计算工程、金融与科学 · 计算机科学 2023-04-20 Mihaela Chiappetta , Chiara Piazzola , Massimo Carraturo , Lorenzo Tamellini , Alessandro Reali , Ferdinando Auricchio

The purpose of this study is twofold -- first, to introduce the application of high-order discontinuous Galerkin methods to buoyancy-driven cargo hold fire simulations, second, to explore statistical variation in the fluid dynamics of a…

流体动力学 · 物理学 2015-12-17 Anthony M. DeGennaro , Mark W. Lohry , Luigi Martinelli , Clarence W. Rowley

How to accurately quantify the uncertainty of stochastic dynamical responses affected by uncertain loads and structural parameters is an important issue in structural safety and reliability analysis. In this paper, the conditional…

计算工程、金融与科学 · 计算机科学 2025-01-03 Feng Wu , Yuelin Zhao , Li Zhu

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…

While standard approaches to optimisation focus on producing a single high-performing solution, Quality-Diversity (QD) algorithms allow large diverse collections of such solutions to be found. If QD has proven promising across a large…

神经与进化计算 · 计算机科学 2023-04-27 Manon Flageat , Luca Grillotti , Antoine Cully

We present a comparison of methods for uncertainty quantification (UQ) in deep learning algorithms in the context of a simple physical system. Three of the most common uncertainty quantification methods - Bayesian Neural Networks (BNN),…

机器学习 · 计算机科学 2020-12-08 João Caldeira , Brian Nord

Data-driven models (DDM) based on machine learning and other AI techniques play an important role in the perception of increasingly autonomous systems. Due to the merely implicit definition of their behavior mainly based on the data used…

软件工程 · 计算机科学 2022-06-15 Janek Groß , Rasmus Adler , Michael Kläs , Jan Reich , Lisa Jöckel , Roman Gansch

Many applications in aerodynamics, particularly in closed-loop control, depend on sensors to estimate the evolving state of the flow. This estimation task is inherently accompanied by uncertainty due to the noisy measurements of sensors or…

流体动力学 · 物理学 2026-01-07 Jeff D. Eldredge , Hanieh Mousavi

The Monte Carlo (MC) method is the most common technique used for uncertainty quantification, due to its simplicity and good statistical results. However, its computational cost is extremely high, and, in many cases, prohibitive.…

统计计算 · 统计学 2021-05-21 A. Cunha , R. Nasser , R. Sampaio , H. Lopes , K. Breitman

Most uncertainty quantification (UQ) approaches provide a single scalar value as a measure of model reliability. However, different uncertainty measures could provide complementary information on the prediction confidence. Even measures…

The hybrid neural differentiable models mark a significant advancement in the field of scientific machine learning. These models, integrating numerical representations of known physics into deep neural networks, offer enhanced predictive…

机器学习 · 计算机科学 2024-01-02 Deepak Akhare , Tengfei Luo , Jian-Xun Wang

There are strong incentives to build models that demonstrate outstanding predictive performance on various datasets and benchmarks. We believe these incentives risk a narrow focus on models and on the performance metrics used to evaluate…

机器学习 · 计算机科学 2022-06-07 David Lovell , Dimity Miller , Jaiden Capra , Andrew Bradley

Regression tasks, notably in safety-critical domains, require proper uncertainty quantification, yet the literature remains largely classification-focused. In this light, we introduce a family of measures for total, aleatoric, and epistemic…

机器学习 · 计算机科学 2025-10-30 Christopher Bülte , Yusuf Sale , Gitta Kutyniok , Eyke Hüllermeier

In modern process industries, data-driven models are important tools for real-time monitoring when key performance indicators are difficult to measure directly. While accurate predictions are essential, reliable uncertainty quantification…

机器学习 · 计算机科学 2026-04-07 Yiran Ma , Jerome Le Ny , Zhichao Chen , Zhihuan Song

High-quality estimates of uncertainty and robustness are crucial for numerous real-world applications, especially for deep learning which underlies many deployed ML systems. The ability to compare techniques for improving these estimates is…

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

应用统计 · 统计学 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

This article explores various uncertain control co-design (UCCD) problem formulations. While previous work offers formulations that are method-dependent and limited to only a handful of uncertainties (often from one discipline), effective…

系统与控制 · 电气工程与系统科学 2023-07-21 Saeed Azad , Daniel R. Herber

Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical…

核理论 · 物理学 2017-03-01 A. E. Lovell , F. M. Nunes , J. Sarich , S. M. Wild

Modern science, technology, and politics are all permeated by data that comes from people, measurements, or computational processes. While this data is often incomplete, corrupt, or lacking in sufficient accuracy and precision, explicit…