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cs.LG2021★ 2 cited
A Physics-Informed Neural Network Framework For Partial Differential Equations on 3D Surfaces: Time-Dependent Problems
Zhiwei Fang, Justin Zhang, Xiu Yang
In this paper, we show a physics-informed neural network solver for the time-dependent surface PDEs. Unlike the traditional numerical solver, no extension of PDE and mesh on the su…
cs.LG2020★ 1 cited
Nonnegativity-Enforced Gaussian Process Regression
Andrew Pensoneault, Xiu Yang, Xueyu Zhu
Gaussian Process (GP) regression is a flexible non-parametric approach to approximate complex models. In many cases, these models correspond to processes with bounded physical prop…