Design of functional and sustainable polymers assisted by artificial intelligence

H Tran, R Gurnani, C Kim, G Pilania, HK Kwon… - Nature Reviews …, 2024 - nature.com
Artificial intelligence (AI)-based methods continue to make inroads into accelerated
materials design and development. Here, we review AI-enabled advances made in the …

Physics-informed neural network (PINN) evolution and beyond: A systematic literature review and bibliometric analysis

ZK Lawal, H Yassin, DTC Lai, A Che Idris - Big Data and Cognitive …, 2022 - mdpi.com
This research aims to study and assess state-of-the-art physics-informed neural networks
(PINNs) from different researchers' perspectives. The PRISMA framework was used for a …

A comprehensive and fair comparison of two neural operators (with practical extensions) based on fair data

L Lu, X Meng, S Cai, Z Mao, S Goswami… - Computer Methods in …, 2022 - Elsevier
Neural operators can learn nonlinear map**s between function spaces and offer a new
simulation paradigm for real-time prediction of complex dynamics for realistic diverse …

Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons

AF Psaros, X Meng, Z Zou, L Guo… - Journal of Computational …, 2023 - Elsevier
Neural networks (NNs) are currently changing the computational paradigm on how to
combine data with mathematical laws in physics and engineering in a profound way …

[HTML][HTML] A-PINN: Auxiliary physics informed neural networks for forward and inverse problems of nonlinear integro-differential equations

L Yuan, YQ Ni, XY Deng, S Hao - Journal of Computational Physics, 2022 - Elsevier
Physics informed neural networks (PINNs) are a novel deep learning paradigm primed for
solving forward and inverse problems of nonlinear partial differential equations (PDEs). By …

Bayesian Physics Informed Neural Networks for real-world nonlinear dynamical systems

K Linka, A Schäfer, X Meng, Z Zou… - Computer Methods in …, 2022 - Elsevier
Understanding real-world dynamical phenomena remains a challenging task. Across
various scientific disciplines, machine learning has advanced as the go-to technology to …

Review of multi-fidelity models

MG Fernández-Godino - arxiv preprint arxiv:1609.07196, 2016 - arxiv.org
This article provides an overview of multi-fidelity modeling trends. Fidelity in modeling refers
to the level of detail and accuracy provided by a predictive model or simulation. Generally …

[HTML][HTML] Multi-fidelity regression using artificial neural networks: Efficient approximation of parameter-dependent output quantities

M Guo, A Manzoni, M Amendt, P Conti… - Computer methods in …, 2022 - Elsevier
Highly accurate numerical or physical experiments are often very time-consuming or
expensive to obtain. When time or budget restrictions prohibit the generation of additional …

NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators

Z Zou, X Meng, AF Psaros, GE Karniadakis - SIAM Review, 2024 - SIAM
Uncertainty quantification (UQ) in machine learning is currently drawing increasing research
interest, driven by the rapid deployment of deep neural networks across different fields, such …

Correcting model misspecification in physics-informed neural networks (PINNs)

Z Zou, X Meng, GE Karniadakis - Journal of Computational Physics, 2024 - Elsevier
Data-driven discovery of governing equations in computational science has emerged as a
new paradigm for obtaining accurate physical models and as a possible alternative to …