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math.NA2021★ 18 cited
Rectangularization of Gaussian process regression for optimization of hyperparameters
Sergei Manzhos, Manabu Ihara
Gaussian process regression (GPR) is a powerful machine learning method which has recently enjoyed wider use, in particular in physical sciences. In its original formulation, GPR u…
math.NA2021★ 21 cited
Easy representation of multivariate functions with low-dimensional terms via Gaussian process regression kernel design: applications to machine learning of potential energy surfaces and kinetic energy densities from sparse data
Eita Sasaki, Manabu Ihara, Sergei Manzhos
We show that Gaussian process regression (GPR) allows representing multivariate functions with low-dimensional terms via kernel design. When using a kernel built with HDMR (High-di…