activity
20202023
most citedRandom Sampling High Dimensional Model Representation Gaussian Process Regression (RS-HDMR-GPR) for representing multidimensional functions with machine-learned lower-dimensional terms allowing insight with a general method

36 citations · 151 across the 8 of their papers we have counts for

collaborators

8 papers

cs.LG2023★ 11 cited

Orders-of-coupling representation with a single neural network with optimal neuron activation functions and without nonlinear parameter optimization

Sergei Manzhos, Manabu Ihara

Representations of multivariate functions with low-dimensional functions that depend on subsets of original coordinates (corresponding of different orders of coupling) are useful i…

stat.ML2023★ 28 cited

Neural network with optimal neuron activation functions based on additive Gaussian process regression

Sergei Manzhos, Manabu Ihara

Feed-forward neural networks (NN) are a staple machine learning method widely used in many areas of science and technology. While even a single-hidden layer NN is a universal appro…

stat.ML2022★ 12 cited

The loss of the property of locality of the kernel in high-dimensional Gaussian process regression on the example of the fitting of molecular potential energy surfaces

Sergei Manzhos, Manabu Ihara

Kernel based methods including Gaussian process regression (GPR) and generally kernel ridge regression (KRR) have been finding increasing use in computational chemistry, including…

cond-mat.mtrl-sci2022

Non-invasive improvement of machining by reversible electrochemical doping: a proof of principle with computational modeling

Anastassia Sorkin, Yunfa Guo, Manabu Ihara +2

We propose that the machinability of hard ceramics can be improved by reversible electrochemical doping. On the example of TiO2, we show in a combined density functional theory-mol…

stat.ME2022★ 25 cited

On the optimization of hyperparameters in Gaussian process regression with the help of low-order high-dimensional model representation

Sergei Manzhos, Manabu Ihara

When the data are sparse, optimization of hyperparameters of the kernel in Gaussian process regression by the commonly used maximum likelihood estimation (MLE) criterion often lead…

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…