135 citations · 219 across the 18 of their papers we have counts for
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cs.CE2019★ 9 cited
ANOVA Gaussian process modeling for high-dimensional stochastic computational models
Chen Chen, Qifeng Liao
In this paper we present a novel analysis of variance Gaussian process (ANOVA-GP) emulator for models governed by partial differential equations (PDEs) with high-dimensional random…
cs.LG2019★ 135 cited
D3M: A deep domain decomposition method for partial differential equations
Ke Li, Kejun Tang, Tianfan Wu +1
A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be form…
math.NA2019★ 1 cited
A hierarchical neural hybrid method for failure probability estimation
Ke Li, Kejun Tang, Jinglai Li +2
Failure probability evaluation for complex physical and engineering systems governed by partial differential equations (PDEs) are computationally intensive, especially when high-di…