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A Physics-Data-Driven Bayesian Method for Heat Conduction Problems
[article]
2021
arXiv
pre-print
In this study, a novel physics-data-driven Bayesian method named Heat Conduction Equation assisted Bayesian Neural Network (HCE-BNN) is proposed. The HCE-BNN is constructed based on the Bayesian neural network, it is a physics-informed machine learning strategy. Compared with the existed pure data driven method, to acquire physical consistency and better performance of the data-driven model, the heat conduction equation is embedded into the loss function of the HCE-BNN as a regularization term.
arXiv:2109.00996v1
fatcat:iwav5e7p6fcohazvbkc2ana6oe