3 papers
nlin.CD2026
Geometric structure of ideal data-driven dynamical model using RfR method
Natsuki Tsutsumi, Kengo Nakai, Yoshitaka Saiki
The Gaussian radial function-based Regression (RfR) method is a data-driven modeling approach that utilizes physically understandable variables from scalar time series, constructed…
nlin.CD2026
On the attractor in a high-dimensional neural network dynamics of reservoir computing: Lyapunov analysis viewpoint
Miki U. Kobayashi, Kengo Nakai, Yoshitaka Saiki +1
Recent theoretical developments of reservoir computing have clarified a sufficient condition about which reservoir computing can capture the dynamics of a target system, enabling t…
nlin.CD2024
Data-driven ODE modeling of the high-frequency complex dynamics via a low-frequency dynamics model
Natsuki Tsutsumi, Kengo Nakai, Yoshitaka Saiki
In our previous paper [N. Tsutsumi, K. Nakai and Y. Saiki, Chaos 32, 091101 (2022)], we proposed a method for constructing a system of differential equations of chaotic behavior fr…