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In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

In the process of product design and digital fabrication, the structural analysis of a designed prototype is a fundamental and essential step. However, such a step is usually invisible or inaccessible to designers at the early sketching…

Computer Vision and Pattern Recognition · Computer Science 2023-12-12 Deng Yu , Chufeng Xiao , Manfred Lau , Hongbo Fu

The decreasing cost and improved sensor and monitoring system technology (e.g. fiber optics and strain gauges) have led to more measurements in close proximity to each other. When using such spatially dense measurement data in Bayesian…

Methodology · Statistics 2023-08-21 Ioannis Koune , Arpad Rozsas , Arthur Slobbe , Alice Cicirello

We present a fully Bayesian sequential strategy for predicting the mean response surface of heteroscedastic stochastic simulation functions. Leveraging dual Gaussian processes as the surrogate model and a criterion based on empirical…

Methodology · Statistics 2025-06-12 Yuying Huang , Samuel W. K. Wong

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

Computation · Statistics 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu

Accurate assessment of systematic uncertainties is an increasingly vital task in physics studies, where large, high-dimensional datasets, like those collected at the Large Hadron Collider, hold the key to new discoveries. Common approaches…

Methodology · Statistics 2025-10-02 Alexis Romero , Kyle Cranmer , Daniel Whiteson

In the manufacturing industry, it is often necessary to repeat expensive operational testing of machine in order to identify the range of input conditions under which the machine operates properly. Since it is often difficult to accurately…

Machine Learning · Statistics 2019-10-29 Shogo Iwazaki , Yu Inatsu , Ichiro Takeuchi

We propose and evaluate an iterative localization mechanism employing Bayesian inference to estimate the position of a target using received signal strength measurements. The probability density functions of the target's coordinates are…

Applications · Statistics 2020-03-05 Henrique Hilleshein , Carlos H. M. de Lima , Hirley Alves , Matti Latva-aho

Continuous-time random disturbances (also called stochastic excitations) due to increasing renewable generation have an increasing impact on power system dynamics; However, except from the Monte Carlo simulation, most existing methods for…

Optimization and Control · Mathematics 2020-07-07 Yiwei Qiu , Jin Lin , Xiaoshuang Chen , Feng Liu , Yonghua Song

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

Multiscale computational modelling is challenging due to the high computational cost of direct numerical simulation by finite elements. To address this issue, concurrent multiscale methods use the solution of cheaper macroscale surrogates…

Computational Engineering, Finance, and Science · Computer Science 2022-01-20 Vasilis Krokos , Viet Bui Xuan , Stéphane P. A. Bordas , Philippe Young , Pierre Kerfriden

Geothermal field modeling is often associated with uncertainties related to the subsurface static properties and the dynamics of fluid flow and heat transfer. Uncertainty quantification using simulations is a useful tool to design optimum…

Geophysics · Physics 2021-12-13 Hussein Hoteit , Xupeng He , Bicheng Yan , Volker Vahrenkam

We combine traction force data with Bayesian inversion to obtain an absolute estimate of the internal stress field of a cell monolayer. The method, Bayesian inversion stress microscopy (BISM), is validated using numerical simulations…

Quantitative Methods · Quantitative Biology 2016-05-04 V. Nier , S. Jain , C. T. Lim , S. Ishihara , B. Ladoux , P. Marcq

This work develops an efficient real-time inverse formulation for inferring the aerodynamic surface pressures on a hypersonic vehicle from sparse measurements of the structural strain. The approach aims to provide real-time estimates of the…

Numerical Analysis · Mathematics 2025-12-03 Julie Pham , Omar Ghattas , Noel Clemens , Karen Willcox

This study aims to comprehensively investigate the deep ensemble approach, an approximate Bayesian inference, in the multi-output regression task for predicting the aerodynamic performance of a missile configuration. To this end, the effect…

Machine Learning · Computer Science 2023-11-27 Sunwoong Yang , Kwanjung Yee

Post-earthquake hazard and impact estimation are critical for effective disaster response, yet current approaches face significant limitations. Traditional models employ fixed parameters regardless of geographical context, misrepresenting…

Machine Learning · Statistics 2025-04-08 Xuechun Li , Shan Gao , Runyu Gao , Susu Xu

Current methods of estimating the change in stress caused by injecting fluid into subsurface formations require choosing the type of constitutive model and the model parameters based on core, log, and geophysical data during the…

Geophysics · Physics 2021-09-28 Jeff Burghardt , Ting Bao , Kailai Xu , Alexandre Tartakovsky , Eric Darve

We present an efficient approach to quantify the uncertainties associated with the numerical simulations of the laser-based powder bed fusion of metals processes. Our study focuses on a thermomechanical model of an Inconel 625 cantilever…

Computational Engineering, Finance, and Science · Computer Science 2024-03-21 Mihaela Chiappetta , Chiara Piazzola , Lorenzo Tamellini , Alessandro Reali , Ferdinando Auricchio , Massimo Carraturo

Seismic imaging is the numerical process of creating a volumetric representation of the subsurface geological structures from elastic waves recorded at the surface of the Earth. As such, it is widely utilized in the energy and construction…

Geophysics · Physics 2024-11-05 Juan Romero , Wolfgang Heidrich , Nick Luiken , Matteo Ravasi

Predicting bioactivity and physical properties of small molecules is a central challenge in drug discovery. Deep learning is becoming the method of choice but studies to date focus on mean accuracy as the main metric. However, to replace…

Machine Learning · Computer Science 2019-07-26 Yao Zhang , Alpha A. Lee