296 citations · 480 across the 13 of their papers we have counts for
5 papers · 1 filter
Function-On-Function Regression Through Separable Neural Operators
Tailen Hsing, Su-Yun Huang, Toshinari Morimoto
This paper investigates the estimation of the regression operator in function-on-function regression models. While traditional research has predominantly focused on linear models o…
Spectral Density Estimation of Function-Valued Spatial Processes
Rafail Kartsioukas, Stilian Stoev, Tailen Hsing
The spectral density function describes the second-order properties of a stationary stochastic process on . This paper considers the nonparametric estimation of the s…
Uniform convergence rates for nonparametric regression and principal component analysis in functional/longitudinal data
Yehua Li, Tailen Hsing
We consider nonparametric estimation of the mean and covariance functions for functional/longitudinal data. Strong uniform convergence rates are developed for estimators that are l…
Deciding the dimension of effective dimension reduction space for functional and high-dimensional data
Yehua Li, Tailen Hsing
In this paper, we consider regression models with a Hilbert-space-valued predictor and a scalar response, where the response depends on the predictor only through a finite number o…
An RKHS formulation of the inverse regression dimension-reduction problem
Tailen Hsing, Haobo Ren
Suppose that is a scalar and is a second-order stochastic process, where and are conditionally independent given the random variables which belong to…