Design of functional and sustainable polymers assisted by artificial intelligence
Artificial intelligence (AI)-based methods continue to make inroads into accelerated
materials design and development. Here, we review AI-enabled advances made in the …
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
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 …
(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
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 …
simulation paradigm for real-time prediction of complex dynamics for realistic diverse …
Uncertainty quantification in scientific machine learning: Methods, metrics, and comparisons
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 …
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
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 …
solving forward and inverse problems of nonlinear partial differential equations (PDEs). By …
Bayesian Physics Informed Neural Networks for real-world nonlinear dynamical systems
Understanding real-world dynamical phenomena remains a challenging task. Across
various scientific disciplines, machine learning has advanced as the go-to technology to …
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 …
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
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 …
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
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 …
interest, driven by the rapid deployment of deep neural networks across different fields, such …
Correcting model misspecification in physics-informed neural networks (PINNs)
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 …
new paradigm for obtaining accurate physical models and as a possible alternative to …