Perspectives on the integration between first-principles and data-driven modeling

W Bradley, J Kim, Z Kilwein, L Blakely… - Computers & Chemical …, 2022 - Elsevier
Efficiently embedding and/or integrating mechanistic information with data-driven models is
essential if it is desired to simultaneously take advantage of both engineering principles and …

Physics-informed machine learning in prognostics and health management: State of the art and challenges

D Weikun, KTP Nguyen, K Medjaher, G Christian… - Applied Mathematical …, 2023 - Elsevier
Prognostics and health management (PHM) plays a constructive role in the equipment's
entire life health service. It has long benefited from intensive research into physics modeling …

Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks

AD Jagtap, K Kawaguchi… - Proceedings of the …, 2020 - royalsocietypublishing.org
We propose two approaches of locally adaptive activation functions namely, layer-wise and
neuron-wise locally adaptive activation functions, which improve the performance of deep …

Physics informed neural fields for smoke reconstruction with sparse data

M Chu, L Liu, Q Zheng, E Franz, HP Seidel… - ACM Transactions on …, 2022 - dl.acm.org
High-fidelity reconstruction of dynamic fluids from sparse multiview RGB videos remains a
formidable challenge, due to the complexity of the underlying physics as well as the severe …

Physics-integrated variational autoencoders for robust and interpretable generative modeling

N Takeishi, A Kalousis - Advances in Neural Information …, 2021 - proceedings.neurips.cc
Integrating physics models within machine learning models holds considerable promise
toward learning robust models with improved interpretability and abilities to extrapolate. In …

Physics constrained learning for data-driven inverse modeling from sparse observations

K Xu, E Darve - Journal of Computational Physics, 2022 - Elsevier
Deep neural networks (DNN) can model nonlinear relations between physical quantities.
Those DNNs are embedded in physical systems described by partial differential equations …

Transformer meets boundary value inverse problems

R Guo, S Cao, L Chen - arxiv preprint arxiv:2209.14977, 2022 - arxiv.org
A Transformer-based deep direct sampling method is proposed for electrical impedance
tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A …

Partial differential equations meet deep neural networks: A survey

S Huang, W Feng, C Tang, J Lv - arxiv preprint arxiv:2211.05567, 2022 - arxiv.org
Many problems in science and engineering can be represented by a set of partial differential
equations (PDEs) through mathematical modeling. Mechanism-based computation following …

Algorithmically-consistent deep learning frameworks for structural topology optimization

J Rade, A Balu, E Herron, J Pathak, R Ranade… - … Applications of Artificial …, 2021 - Elsevier
Topology optimization has emerged as a popular approach to refine a component's design
and increase its performance. However, current state-of-the-art topology optimization …

Inverse design of spontaneous parametric downconversion for generation of high-dimensional qudits

E Rozenberg, A Karnieli, O Yesharim, J Foley-Comer… - Optica, 2022 - opg.optica.org
Spontaneous parametric downconversion (SPDC) in quantum optics is an invaluable
resource for the realization of high-dimensional qudits with spatial modes of light. One of the …