101 citations · 312 across the 33 of their papers we have counts for
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Generalized Stochastic Resilience for Early Warning Signals Based on Koopman Operator
Yuta Miyauchi, Masahiro Ikeda, Yoshinobu Kawahara
Developing methods for detecting tipping phenomena at an early stage is an important problem in various fields such as ecology, medicine, and economics. A tipping phenomenon is cha…
Koopman operators with intrinsic observables in rigged reproducing kernel Hilbert spaces
Isao Ishikawa, Yuka Hashimoto, Masahiro Ikeda +1
This paper presents a novel approach for estimating the Koopman operator defined on a reproducing kernel Hilbert space (RKHS) and its spectra. We propose an estimation method, what…
Subspace dynamic mode decomposition for stochastic Koopman analysis
Naoya Takeishi, Yoshinobu Kawahara, Takehisa Yairi
The analysis of nonlinear dynamical systems based on the Koopman operator is attracting attention in various applications. Dynamic mode decomposition (DMD) is a data-driven algorit…