Integrating scientific knowledge with machine learning for engineering and environmental systems

J Willard, X Jia, S Xu, M Steinbach, V Kumar - ACM Computing Surveys, 2022‏ - dl.acm.org
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

Machine learning and physics: A survey of integrated models

A Seyyedi, M Bohlouli, SN Oskoee - ACM Computing Surveys, 2023‏ - dl.acm.org
Predictive modeling of various systems around the world is extremely essential from the
physics and engineering perspectives. The recognition of different systems and the capacity …

[PDF][PDF] Integrating physics-based modeling with machine learning: A survey

J Willard, X Jia, S Xu, M Steinbach… - arxiv preprint arxiv …, 2020‏ - beiyulincs.github.io
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

Bayesian deep convolutional encoder–decoder networks for surrogate modeling and uncertainty quantification

Y Zhu, N Zabaras - Journal of Computational Physics, 2018‏ - Elsevier
We are interested in the development of surrogate models for uncertainty quantification and
propagation in problems governed by stochastic PDEs using a deep convolutional encoder …

Adversarial uncertainty quantification in physics-informed neural networks

Y Yang, P Perdikaris - Journal of Computational Physics, 2019‏ - Elsevier
We present a deep learning framework for quantifying and propagating uncertainty in
systems governed by non-linear differential equations using physics-informed neural …

Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification

RK Tripathy, I Bilionis - Journal of computational physics, 2018‏ - Elsevier
State-of-the-art computer codes for simulating real physical systems are often characterized
by vast number of input parameters. Performing uncertainty quantification (UQ) tasks with …

Transfer learning based multi-fidelity physics informed deep neural network

S Chakraborty - Journal of Computational Physics, 2021‏ - Elsevier
For many systems in science and engineering, the governing differential equation is either
not known or known in an approximate sense. Analyses and design of such systems are …

Physics-informed machine learning for battery degradation diagnostics: A comparison of state-of-the-art methods

S Navidi, A Thelen, T Li, C Hu - Energy Storage Materials, 2024‏ - Elsevier
Monitoring the health of lithium-ion batteries' internal components as they age is crucial for
optimizing cell design and usage control strategies. However, quantifying component-level …

A sample-efficient deep learning method for multivariate uncertainty qualification of acoustic–vibration interaction problems

L Chen, R Cheng, S Li, H Lian, C Zheng… - Computer Methods in …, 2022‏ - Elsevier
We propose an efficient Monte Carlo simulation method to address the multivariate
uncertainties in acoustic–vibration interaction systems. The deep neural network acts as a …

Simulator-free solution of high-dimensional stochastic elliptic partial differential equations using deep neural networks

S Karumuri, R Tripathy, I Bilionis, J Panchal - Journal of Computational …, 2020‏ - Elsevier
Stochastic partial differential equations (SPDEs) are ubiquitous in engineering and
computational sciences. The stochasticity arises as a consequence of uncertainty in input …