2 citations · 3 across the 8 of their papers we have counts for
8 papers
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…
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…
On the emergence of numerical instabilities in Next Generation Reservoir Computing
Edmilson Roque dos Santos, Erik Bollt
Next Generation Reservoir Computing (NGRC) is a low-cost machine learning method for forecasting chaotic time series from data. Computational efficiency is crucial for scalable res…
Locality Blended Next Generation Reservoir Computing For Attention Accuracy
Daniel J. Gauthier, Andrew Pomerance, Erik Bollt
We extend an advanced variation of a machine learning algorithm, next-generation reservoir Computing (NGRC), to forecast the dynamics of the Ikeda map of a chaotic laser. The machi…
Fractal Conditional Correlation Dimension Infers Complex Causal Networks
Özge Canlı Usta, Erik M. Bollt
Determining causal inference has become popular in physical and engineering applications. While the problem has immense challenges, it provides a way to model the complex networks…
Linear Stability Analysis of Physics-Informed Random Projection Neural Networks for ODEs
Gianluca Fabiani, Erik Bollt, Constantinos Siettos +1
We present a linear stability analysis of physics-informed random projection neural networks (PI-RPNNs), for the numerical solution of {the initial value problem (IVP)} of (stiff)…
Symmetry breaker governs synchrony patterns in neuronal inspired networks
Anil Kumar, Edmilson Roque dos Santos, Paul J. Laurienti +1
Experiments in the human brain reveal switching between different activity patterns and functional network organization over time. Recently, multilayer modeling has been employed a…
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…