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Heat kernel and intrinsic Gaussian processes on manifolds
In this work, we propose an intrinsic approach of constructing the Gaussian process on \if more \fi general manifolds \if {\color{red} in the matrix Lie groups} \fi such as orthogonal groups, unitary groups, Stiefel manifolds and Grassmannian manifolds.
Intrinsic Gaussian processes on complex constrained domains
in-GPs respect the potentially complex boundary or interior conditions as well as the intrinsic geometry of the spaces.
Spatio-temporal Gaussian processes modeling of dynamical systems in systems biology
The spatio-temporal field of protein concentration and mRNA expression are reconstructed without explicitly solving the partial differential equation.
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