4 papers
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…
Generative and Nonparametric Approaches for Conditional Distribution Estimation: Methods, Perspectives, and Comparative Evaluations
Yen-Shiu Chin, Zhi-Yu Jou, Toshinari Morimoto +5
The inference of conditional distributions is a fundamental problem in statistics, essential for prediction, uncertainty quantification, and probabilistic modeling. A wide range of…
Blurring Mean Shift for Clustering Functional Data: A Scalable Algorithm and Convergence Analysis
Toshinari Morimoto, Ting-Li Chen, Su-Yun Huang +1
This paper extends the blurring mean shift algorithm from vector-valued data to functional data, enabling effective clustering in infinite-dimensional settings without requiring sp…
Information Criterion-Based Rank Estimation Methods for Factor Analysis: A Unified Selection Consistency Theorem and Numerical Comparison
Toshinari Morimoto, Hung Hung, Su-Yun Huang
Over the years, numerous rank estimators for factor models have been proposed in the literature. This article focuses on information criterion-based rank estimators and investigate…