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Neural networks are a commonly used approach to replace physical models with computationally cheap surrogates. Parametric uncertainty quantification can be included in training, assuming that an accurate prior distribution of the model…

机器学习 · 计算机科学 2026-03-12 Heikki Haario , Zhi-Song Liu , Martin Simon , Hendrik Weichel

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…

Uncertainty quantification is vital for decision-making and risk assessment in machine learning. Mean-variance regression models, which predict both a mean and residual noise for each data point, provide a simple approach to uncertainty…

机器学习 · 统计学 2025-12-01 Eliot Wong-Toi , Alex Boyd , Vincent Fortuin , Stephan Mandt

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…

计算物理 · 物理学 2015-06-18 Paolo Saracco , Maria Grazia Pia

Quantifying uncertainty in deep regression models is important both for understanding the confidence of the model and for safe decision-making in high-risk domains. Existing approaches that yield prediction intervals overlook distributional…

机器学习 · 计算机科学 2025-12-02 Adriel Sosa Marco , John Daniel Kirwan , Alexia Toumpa , Simos Gerasimou

Uncertainty quantification of complex technical systems is often based on a computer model of the system. As all models such a computer model is always wrong in the sense that it does not describe the reality perfectly. The purpose of this…

系统与控制 · 电气工程与系统科学 2020-12-18 Sebastian Kersting , Michael Kohler

Medical image segmentation supports clinical workflows by precisely delineating anatomical structures and lesions. However, medical image datasets medical image datasets suffer from acquisition noise and annotation ambiguity, causing…

人工智能 · 计算机科学 2026-04-14 Ruiyang Li , Fang Liu , Licheng Jiao , Xinglin Xie , Jiayao Hao , Shuo Li , Xu Liu , Jingyi Yang , Lingling Li , Puhua Chen , Wenping Ma

Quality control (QC) of medical images is essential to ensure that downstream analyses such as segmentation can be performed successfully. Currently, QC is predominantly performed visually at significant time and operator cost. We aim to…

图像与视频处理 · 电气工程与系统科学 2020-02-03 Richard Shaw , Carole H. Sudre , Sebastien Ourselin , M. Jorge Cardoso

Stochastic simulation is widely used to study complex systems composed of various interconnected subprocesses, such as input processes, routing and control logic, optimization routines, and data-driven decision modules. In practice, these…

统计计算 · 统计学 2026-02-19 Mohammadmahdi Ghasemloo , David J. Eckman , Yaxian Li

The neutron distribution of neutron-rich nuclei provides critical information on the structure of finite nuclei and neutron stars. Parity violating experiments -- such as PREX and CREX -- provide a clean and largely model-independent…

核理论 · 物理学 2021-08-11 Giuliani Pablo , Piekarewicz Jorge

Inverse design is a central goal in much of science and engineering, including frequency-selective surfaces (FSS) that are critical to microelectronics for telecommunications and optical metamaterials. Traditional surrogate-assisted…

Classical methods for X-ray computed tomography are based on the assumption that the X-ray source intensity is known, but in practice, the intensity is measured and hence uncertain. Under normal operating conditions, when the exposure time…

数值分析 · 数学 2017-07-17 Hari Om Aggrawal , Martin Skovgaard Andersen , Sean Rose , Emil Y. Sidky

In this work, we describe a Bayesian framework for reconstructing the boundaries of piecewise smooth regions in the X-ray computed tomography (CT) problem in an infinite-dimensional setting. In addition to the reconstruction, we are also…

数值分析 · 数学 2022-12-20 Babak Maboudi Afkham , Yiqiu Dong , Per Christian Hansen

We present an information-based uncertainty quantification method for general Markov Random Fields. Markov Random Fields (MRF) are structured, probabilistic graphical models over undirected graphs, and provide a fundamental unifying…

机器学习 · 统计学 2021-07-20 Panagiota Birmpa , Markos A. Katsoulakis

Effectively measuring and modeling the reliability of a trained model is essential to the real-world deployment of monocular depth estimation (MDE) models. However, the intrinsic ill-posedness and ordinal-sensitive nature of MDE pose major…

计算机视觉与模式识别 · 计算机科学 2023-07-20 Mochu Xiang , Jing Zhang , Nick Barnes , Yuchao Dai

TodevelopanovelUncertaintyQuantification (UQ) framework to estimate the uncertainty of patient survival models in the absence of ground truth, we developed and evaluated our approach based on a dataset of 1383 patients treated with…

Computational cardiac modelling is a mature area of biomedical computing, and is currently evolving from a pure research tool to aiding in clinical decision making. Assessing the reliability of computational model predictions is a key…

计算物理 · 物理学 2018-01-10 Rocío Rodríguez-Cantano , Joakim Sundnes , Marie E. Rognes

Large language models (LLMs) often generate fluent but factually incorrect outputs, known as hallucinations, which undermine their reliability in real-world applications. While uncertainty estimation has emerged as a promising strategy for…

机器学习 · 计算机科学 2025-05-13 Pei-Fu Guo , Yun-Da Tsai , Shou-De Lin

Brain decoding algorithms form an important part of the arsenal of analysis tools available to neuroscientists, allowing for a more detailed study of the kind of information represented in patterns of cortical activity. While most current…

定量方法 · 定量生物学 2017-08-17 R. S. van Bergen , J. F. M. Jehee

This paper develops new tools to quantify uncertainty in optimal decision making and to gain insight into which variables one should collect information about given the potential cost of measuring a large number of variables. We investigate…

统计方法学 · 统计学 2021-05-11 Yunan Wu , Lan Wang , Haoda Fu
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