Knowledge Based Neural Networks are a bi-fidelity machine learning architecture that allow the outputs of a coarse scale model,
, to be augmented by the predictions of a neural network. Having been trained using a dataset comprising outputs of a high-fidelity model, Fe(x), the KBaNN corrects the outputs of the coarse model to emulate the output of
. The architecture is based on the KBaNN proposed in Wang et al (1997) but adapted for bi-fidelity modelling. The formalism has also been modified to produce an additive rather than multiplicative correction to
. It also now incorporates
regularisation.
The KBaNN formulation attempots to leverage the flexibility and scalability of neural networks, while addressing the criticism that they are data-driven black boxes by incorporating the coarse model.
The attached code demonstrates the KBaNN architecture for the Forrester problem. The main file is "forrester_test_main".
Please do provide us with feedback on the code, we are happy to engage to improve it!
Mathematical details may be found in Pepper, Gaymann, Montomoli, and Sharma, "Local bi-fidelity field approximation with Knowledge Based Neural Networks for Computational Fluid Dynamics" (2021). DoI: https://www.nature.com/articles/s41598-021-93280-y#additional-information
인용 양식
Nick Pepper (2024). Knowledge Based Neural Networks (https://www.mathworks.com/matlabcentral/fileexchange/93675-knowledge-based-neural-networks), MATLAB Central File Exchange. 검색됨 .
MATLAB 릴리스 호환 정보
개발 환경:
R2019b
모든 릴리스와 호환
플랫폼 호환성
Windows macOS Linux태그
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!