101 citations · 312 across the 33 of their papers we have counts for
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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…
Many-body Approximation for Non-negative Tensors
Kazu Ghalamkari, Mahito Sugiyama, Yoshinobu Kawahara
We present an alternative approach to decompose non-negative tensors, called many-body approximation. Traditional decomposition methods assume low-rankness in the representation, r…
Data-driven End-to-end Learning of Pole Placement Control for Nonlinear Dynamics via Koopman Invariant Subspaces
Tomoharu Iwata, Yoshinobu Kawahara
We propose a data-driven method for controlling the frequency and convergence rate of black-box nonlinear dynamical systems based on the Koopman operator theory. With the proposed…
Operator-theoretic Analysis of Mutual Interactions in Synchronized Dynamics
Yuka Hashimoto, Masahiro Ikeda, Hiroya Nakao +1
Analyzing synchronized nonlinear oscillators is one of the most important and attractive topics in nonlinear science. By understanding the interactions between the oscillators, we…
Stable Invariant Models via Koopman Spectra
Takuya Konishi, Yoshinobu Kawahara
Weight-tied models have attracted attention in the modern development of neural networks. The deep equilibrium model (DEQ) represents infinitely deep neural networks with weight-ty…