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2020

MFPC-Net: Multi-fidelity Physics-Constrained Neural Process

Wang, Yating, Lin, Guang

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In this work, we propose a network which can utilize computational cheap low-fidelity data together with limited high-fidelity data to train surrogate models, where the multi-fidelity data are generated from multiple underlying models.

The network takes a context set as input (physical observation points, low fidelity solution at observed points) and output (high fidelity solution at observed points) pairs.
It uses the neural process to learn a distribution over functions conditioned on context sets and provide the mean and standard deviation at target sets.
Moreover, the proposed framework also takes into account the available physical laws that govern the data and imposes them as constraints in the loss function.

MFPC-Net: Multi-fidelity Physics-Constrained Neural Process · Around

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A.-M. Matache and C. Schwab
2002
Earlier work this paper cites.
W. E and B. Engquist
2003
Earlier work this paper cites.
C. E. Rasmussen
2003
Earlier work this paper cites.
G. Allaire and R. Brizzi
2005
Earlier work this paper cites.
A. I. Forrester, A. Sóbester, and A. J. Keane
2007
Earlier work this paper cites.
J. Fish and R. Fan
2008
Earlier work this paper cites.
Y. Efendiev, J. Galvis, and X. Wu
2011
Earlier work this paper cites.
A. Abdulle and Y. Bai
2013
Earlier work this paper cites.
A. Damianou and N. Lawrence
2013
Earlier work this paper cites.
Y. Efendiev, J. Galvis, and T. Hou
2013
Earlier work this paper cites.

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