20 citations · 60 across the 24 of their papers we have counts for
3 papers · 1 filter
Composition operators on reproducing kernel Hilbert spaces with analytic positive definite functions
Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano
In this paper, we specify what functions induce the bounded composition operators on a reproducing kernel Hilbert space (RKHS) associated with an analytic positive definite functio…
Krylov Subspace Method for Nonlinear Dynamical Systems with Random Noise
Yuka Hashimoto, Isao Ishikawa, Masahiro Ikeda +2
Operator-theoretic analysis of nonlinear dynamical systems has attracted much attention in a variety of engineering and scientific fields, endowed with practical estimation methods…
Metric on random dynamical systems with vector-valued reproducing kernel Hilbert spaces
Isao Ishikawa, Akinori Tanaka, Masahiro Ikeda +1
Development of metrics for structural data-generating mechanisms is fundamental in machine learning and the related fields. In this paper, we give a general framework to construct…