Uncertainty quantification in machine learning for engineering design and health prognostics: A tutorial

V Nemani, L Biggio, X Huan, Z Hu, O Fink… - … Systems and Signal …, 2023 - Elsevier
On top of machine learning (ML) models, uncertainty quantification (UQ) functions as an
essential layer of safety assurance that could lead to more principled decision making by …

Gradient-enhanced physics-informed neural networks for forward and inverse PDE problems

J Yu, L Lu, X Meng, GE Karniadakis - Computer Methods in Applied …, 2022 - Elsevier
Deep learning has been shown to be an effective tool in solving partial differential equations
(PDEs) through physics-informed neural networks (PINNs). PINNs embed the PDE residual …

Multifidelity data fusion based on gradient-enhanced surrogate modeling method

K Li, Y Liu, S Wang, X Song - Journal of …, 2021 - asmedigitalcollection.asme.org
A multifidelity surrogate (MFS) model is a data fusion method for the enhanced prediction of
less intensively sampled primary variables of interest (ie, high-fidelity (HF) samples) with the …

Aerodynamic shape optimization using gradient-enhanced multifidelity neural networks

JR Nagawkar, LT Leifsson, P He - AIAA SciTech 2022 Forum, 2022 - arc.aiaa.org
View Video Presentation: https://doi. org/10.2514/6.2022-2350. vid In this work, the gradient-
enhanced multifidelity neural networks (GEMFNN) algorithm is extended to handle multiple …

Two-Dimensional-Based Hybrid Shape Optimisation of a 5-Element Formula 1 Race Car Front Wing under FIA Regulations

FJ Granados-Ortiz, P Morales-Higueras… - Machines, 2023 - mdpi.com
Front wings are a key element in the aerodynamic performance of Formula 1 race cars.
Thus, their optimisation makes an important contribution to the performance of cars in races …

Gradient enhanced multi-fidelity regression with neural networks: application to turbulent flow reconstruction

MH Saadat - arXiv preprint arXiv:2311.11298, 2023 - arxiv.org
A multi-fidelity regression model is proposed for combining multiple datasets with different
fidelities, particularly abundant low-fidelity data and scarce high-fidelity observations. The …

A gradient-enhanced sequential nonparametric data assimilation framework for soil moisture flow

Y Wang, L Shi, Q Zhang, H Qiao - Journal of Hydrology, 2021 - Elsevier
Soil water content (SWC) is a vital variable in the hydrological cycle, while simulation of it
often relies on resolving the soil water flow equation. To cope with the unavailability or poor …

Augmented Gaussian random field: Theory and computation

S Zhang, X Yang, S Tindel, G Lin - arXiv preprint arXiv:2009.01961, 2020 - arxiv.org
We propose the novel augmented Gaussian random field (AGRF), which is a universal
framework incorporating the data of observable and derivatives of any order. Rigorous …

[PDF][PDF] Gradient-enhanced fractional physics-informed neural networks for solving forward and inverse problems of the multiterm time-fractional Burger-type equation

S Yuan, Y Liu, Y Xu, Q Li, C Guo, Y Shen - AIMS Mathematics, 2024 - aimspress.com
In this paper, we introduced the gradient-enhanced fractional physics-informed neural
networks (gfPINNs) for solving the forward and inverse problems of the multiterm time …

An Optimization and Cluster based Approach to Lookup Tables in Design of Adaptive Restraint Systems

RD Ashok Kumar, P Anand - 2024 - odr.chalmers.se
The timely deployment of vehicle restraint systems is crucial in mitigating the impact of
collisions and protecting occupants in the affected vehicles. The level of protection can be …