3 papers
math.PR2026
Independence properties for tree beta models
Yoshihiro Gyotoku, Makiko Sasada, Jacek Wesołowski
This paper is devoted to introduce new probabilistic tree-based models complementing already known Matsumoto-Yor and Hamza-Vallois tree models with two tree beta-type models.
math.PR2026
The Independence-Preserving Property and Planar Web Geometry
Yoshihiro Gyotoku
This paper introduces planar web geometry into the study of characterization problems for probability laws arising from independence preservation. Let be a real-a…
math.ST2025
Deep learning of point processes for modeling high-frequency data
Yoshihiro Gyotoku, Ioane Muni Toke, Nakahiro Yoshida
We investigate applications of deep neural networks to a point process having an intensity with mixing covariates processes as input. Our generic model includes Cox-type models and…