Holomorphic KAN-ODE uses KANs plus Cauchy-Riemann regularization inside Neural ODEs to model six families of holomorphic complex dynamics, recovering symbolic governing equations and fractal boundaries with 280 parameters and high noise robustness.
32, Curran Associates, Inc., 2019, pp
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Holomorphic Neural ODEs with Kolmogorov-Arnold Networks for Interpretable Discovery of Complex Dynamics
Holomorphic KAN-ODE uses KANs plus Cauchy-Riemann regularization inside Neural ODEs to model six families of holomorphic complex dynamics, recovering symbolic governing equations and fractal boundaries with 280 parameters and high noise robustness.