14 citations · 26 across the 14 of their papers we have counts for
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Higher-Order Kolmogorov-Arnold Networks for Dynamics
Kevin Slote, Jeremie Fish
The ability to derive the governing equations of a dynamical system from data is essential for prediction and control across many scientific fields. Two challenges, however, are th…
Deep-Koopman-KANDy: Dictionary Discovery for Deep-Koopman Operators with Kolmogorov-Arnold Networks for Dynamics
Kevin Slote, Erik Bollt, Jeremie Fish
Symbolic library -- or Koopman dictionary -- selection is a fundamental challenge in data-driven dynamical systems. Extended Dynamic Mode Decomposition (EDMD), Sparse Identificatio…
KANDy: Kolmogorov-Arnold Networks and Dynamical System Discovery
Kevin Slote, Jeremie Fish, Erik Bollt
We introduce the Kolmogorov-Arnold Network for Dynamics (KANDy) as a zero-depth, wide neural architecture capable of discovering governing equations in chaotic and complex dynamica…
Fractal Basins as a Mechanism for the Nimble Brain
Erik Bollt, Jeremie Fish, Anil Kumar +2
An interesting feature of the brain is its ability to respond to disparate sensory signals from the environment in unique ways depending on the environmental context or current bra…