5 papers
Memorial for Dr. Erik Bollt
Scott Bollt, Mario di Bernardo, Mario DiBernardo +5
In this paper, we give a memorial tribute to Prof. Erik M. Bollt (1967--2025).
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…
CausationEntropy: Pythonic Optimal Causation Entropy
Kevin Slote, Jeremie Fish, Erik Bollt
Optimal Causation Entropy (oCSE) is a robust causal network modeling technique that reveals causal networks from dynamical systems and coupled oscillators, distinguishing direct fr…
How fragile is your network? More than you think
Jeremie Fish, Mahesh Banavar, Erik Bollt
Graphs are pervasive in our everyday lives, with relevance to biology, the internet, and infrastructure, as well as numerous other applications. It is thus necessary to have an und…