68 citations · 68 across the 4 of their papers we have counts for
4 papers
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…
Entropic Regression DMD (ERDMD) Discovers Informative Sparse and Nonuniformly Time Delayed Models
Christopher W. Curtis, Erik Bollt, Daniel Jay Alford-Lago
In this work, we present a method which determines optimal multi-step dynamic mode decomposition (DMD) models via entropic regression, which is a nonlinear information flow detecti…
On Learning what to Learn: heterogeneous observations of dynamics and establishing (possibly causal) relations among them
David W. Sroczynski, Felix Dietrich, Eleni D. Koronaki +4
Before we attempt to learn a function between two (sets of) observables of a physical process, we must first decide what the inputs and what the outputs of the desired function are…
Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series
Erik M. Bollt, Theodore Stanford, Ying-Cheng Lai +1
A practical and popular technique to extract the symbolic dynamics from experimentally measured chaotic time series is the threshold-crossing method, by which an arbitrary partitio…