101 citations · 312 across the 33 of their papers we have counts for
36 papers
Priority Coordination Games: Hodge Decomposition and a Sharp Design Limit
Zhihao Lin, Jianglin Lan, Anh-Tu Nguyen +1
In decentralised priority coordination, agents announce priority levels and a shared resource serves them in decreasing order, as at an unsignalised intersection; the levels form t…
Data-driven sparse identification of governing PDEs via knockoff filters and multi-criteria trade-offs
Pongpisit Thanasutives, Naichang Ke, Yoshinobu Kawahara
We propose KO-PDE-IDENT, a data-driven framework for identifying parsimonious partial differential equations (PDEs) with false discovery rate (FDR) control. PDE discovery from nois…
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…
Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata
Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki +2
We apply Dynamic Mode Decomposition (DMD) to Elementary Cellular Automata (ECA). Three types of DMD methods are considered and the reproducibility of the system dynamics and Koopma…
Modeling Nonlinear Dynamics in Continuous Time with Inductive Biases on Decay Rates and/or Frequencies
Tomoharu Iwata, Yoshinobu Kawahara
We propose a neural network-based model for nonlinear dynamics in continuous time that can impose inductive biases on decay rates and/or frequencies. Inductive biases are helpful f…