12 citations · 12 across the 3 of their papers we have counts for
3 papers
math.ST2025
Persistence-Based Statistics for Detecting Structural Changes in High-Dimensional Point Clouds
Toshiyuki Nakayama
We study the probabilistic behavior of persistence-based statistics and propose a novel nonparametric framework for detecting structural changes in high-dimensional random point cl…
math.PR2022
Distance between closed sets and the solutions to stochastic partial differential equations
Toshiyuki Nakayama, Stefan Tappe
The goal of this paper is to clarify when the solutions to stochastic partial differential equations stay close to a given subset of the state space for starting points which are c…
math.PR2019★ 12 cited
Wong-Zakai approximations with convergence rate for stochastic partial differential equations
Toshiyuki Nakayama, Stefan Tappe
The goal of this paper is to prove a convergence rate for Wong-Zakai approximations of semilinear stochastic partial differential equations driven by a finite dimensional Brownian…