38 citations · 191 across the 14 of their papers we have counts for
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nlin.AO2025
Exact Dimensional Reduction for Quasi-Linear ODE Ensembles
Felix Augustsson, Erik Andreas Martens, Rok Cestnik
We present an exact dimensional reduction for high-dimensional dynamical systems composed of identical dynamical units governed by quasi-linear ordinary differential equations…
stat.ML2025★ 2 cited
Next-Generation Reservoir Computing for Dynamical Inference
Rok Cestnik, Erik A. Martens
We present a simple and scalable implementation of next-generation reservoir computing (NGRC) for modeling dynamical systems from time-series data. The method uses a pseudorandom n…
q-bio.NC2025★ 4 cited
Low Dimensional Dynamics of Globally Coupled Complex Riccati Equations: Exact Firing-rate Equations for Spiking Neurons with Clustered Substructure
Diego Pazó, Rok Cestnik
We report on an exact theory for ensembles of globally coupled, heterogeneous complex Riccati equations. A drastic dimensionality reduction to a few ordinary differential equations…