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math.ST2022
Local polynomial trend regression for spatial data on
Daisuke Kurisu, Yasumasa Matsuda
This paper develops a general asymptotic theory of local polynomial (LP) regression for spatial data observed at irregularly spaced locations in a sampling region $R_n \subset \mat…
math.ST2022
Adaptive deep learning for nonlinear time series models
Daisuke Kurisu, Riku Fukami, Yuta Koike
In this paper, we develop a general theory for adaptive nonparametric estimation of the mean function of a non-stationary and nonlinear time series model using deep neural networks…