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相关论文: Quantification of Uncertainty and Its Propagation …

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Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

统计方法学 · 统计学 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

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

Spatial dynamic microsimulations probabilistically project geographically referenced units with individual characteristics over time. Like any projection method, their outcomes are inherently uncertain and sensitive to multiple factors.…

统计计算 · 统计学 2025-11-19 Morgane Dumont , Ahmed Alsaloum , Julian Ernst , Jan Weymeirsch , Ralf Münnich

We interpret uncertainty in a model for seismic wave propagation by treating the model parameters as random variables, and apply the Multilevel Monte Carlo (MLMC) method to reduce the cost of approximating expected values of selected,…

Bayesian Neural Networks (BNNs) provide a tool to estimate the uncertainty of a neural network by considering a distribution over weights and sampling different models for each input. In this paper, we propose a method for uncertainty…

机器学习 · 计算机科学 2024-10-28 Illia Oleksiienko , Dat Thanh Tran , Alexandros Iosifidis

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

In this paper we address the problem of uncertainty management for robust design, and verification of large dynamic networks whose performance is affected by an equally large number of uncertain parameters. Many such networks (e.g. power,…

统计计算 · 统计学 2011-10-12 Amit Surana , Tuhin Sahai , Andrzej Banaszuk

A rise in popularity of Deep Neural Networks (DNNs), attributed to more powerful GPUs and widely available datasets, has seen them being increasingly used within safety-critical domains. One such domain, self-driving, has benefited from…

机器学习 · 计算机科学 2018-11-19 Rhiannon Michelmore , Marta Kwiatkowska , Yarin Gal

Uncertainty quantification is crucial for the deployment of image restoration models in safety-critical domains, like autonomous driving and biological imaging. To date, methods for uncertainty visualization have mainly focused on per-pixel…

计算机视觉与模式识别 · 计算机科学 2023-11-07 Elias Nehme , Omer Yair , Tomer Michaeli

Due to their intuitive appeal, Bayesian methods of modeling and uncertainty quantification have become popular in modern machine and deep learning. When providing a prior distribution over the parameter space, it is straightforward to…

机器学习 · 统计学 2025-06-05 Ivan Melev , Goeran Kauermann

With increasing computational demand, Neural-Network (NN) based models are being developed as pre-trained surrogates for different thermohydraulics phenomena. An area where this approach has shown promise is in developing higher-fidelity…

流体动力学 · 物理学 2024-12-13 Cody Grogan , Som Dutta , Mauricio Tano , Somayajulu L. N. Dhulipala , Izabela Gutowska

Supervised machine learning and predictive models have achieved an impressive standard today, enabling us to answer questions that were inconceivable a few years ago. Besides these successes, it becomes clear, that beyond pure prediction,…

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…

Dam breach models are commonly used to predict outflow hydrographs of potentially failing dams and are key ingredients for evaluating flood risk. In this paper a new dam breach modeling framework is introduced that shall improve the…

统计计算 · 统计学 2018-06-14 S. J. Peter , A. Siviglia , J. Nagel , S. Marelli , R. M. Boes , D. Vetsch , B. Sudret

Bayesian inference represents a principled way to incorporate Earth structure uncertainty in full-waveform moment tensor inversions, but traditional approaches generally require significant approximations that risk biasing the resulting…

地球物理 · 物理学 2026-03-20 A. A. Saoulis , T. -S. Pham , A. M. G. Ferreira

In nuclear reactor system design and safety analysis, the Best Estimate plus Uncertainty (BEPU) methodology requires that computer model output uncertainties must be quantified in order to prove that the investigated design stays within…

统计计算 · 统计学 2018-06-22 Xu Wu , Tomasz Kozlowski , Hadi Meidani , Koroush Shirvan

Particle Image Velocimetry (PIV) is a widely used technique for flow measurement that traditionally relies on cross-correlation to track the displacement. Recent advances in deep learning-based methods have significantly improved the…

图像与视频处理 · 电气工程与系统科学 2025-07-29 Wei Wang , Jeremiah Hu , Jia Ai , Yong Lee

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…

概率论 · 数学 2019-07-05 Eric Joseph Hall , Markos A. Katsoulakis

The uncertainty quantification of prediction models (e.g., neural networks) is crucial for their adoption in many robotics applications. This is arguably as important as making accurate predictions, especially for safety-critical…

机器人学 · 计算机科学 2024-04-09 Junan Chen , Josephine Monica , Wei-Lun Chao , Mark Campbell

Load forecasting has long been recognized as an important building block for all utility operational planning efforts. Over the recent years, it has become ever more challenging to make accurate forecasts due to the proliferation of…

系统与控制 · 计算机科学 2019-05-17 Guangrui Xie , Xi Chen , Yang Weng