ROK CESTNIK

Dr. ROK CESTNIK

Postdoc in Applied Mathematics, in the group of Erik Martens. Here is my CV.

Previous position: Postdoc at the group of Statistical Physics and Theory of Chaos.

INTERESTS

- ensembles of oscillators
- mean field descriptions
- dimensionality reduction
- co-evolutionary (adaptive) networks
- inference of phase dynamics
- inference of network connectivity
- reservoir computing
- machine learning

PUBLICATIONS

Title	Link	Citation	Extra	Year
Two-phase quadratic integrate-and-fire neurons: Exact low-dimensional description for ensembles of finite-voltage neurons	Link	Cite	Code	2026
Next-Generation Reservoir Computing for Dynamical Inference	Link, arXiv	Cite	Code	2026
Exact Dimensional Reduction for Quasi-Linear ODE Ensembles	arXiv			(2025)
Low-dimensional dynamics of globally coupled complex Riccati equations: Exact firing-rate equations for spiking neurons with clustered substructure	Link, arXiv	Cite		2025
Continuum limit of the adaptive Kuramoto model	Link, arXiv	Cite		2025
Integrability of a globally coupled complex Riccati array: quadratic integrate-and-fire neurons, phase oscillators and all in between	Link, arXiv	Cite	Quasi-integrable Arrays: The Family Grows	2024
Exact finite-dimensional description for networks of globally coupled spiking neurons	Link, arXiv	Cite		2023
Inferring oscillator's phase and amplitude response from a scalar signal exploiting test stimulation	Link, arXiv	Cite	Presentation, Code	2022
Exact finite-dimensional reduction for a population of noisy oscillators and its link to Ott-Antonsen and Watanabe-Strogatz theories	Link, arXiv	Cite	Presentation	2022
Hierarchy of exact low-dimensional reductions for populations of coupled oscillators	Link, arXiv	Cite		2022
Impact of local network characteristics on network reconstruction	Link, arXiv	Cite		2021
Inferring the dynamics of oscillatory systems using recurrent neural networks	Link, arXiv	Cite	Code	2019
Inferring the phase response curve from observation of a continuously perturbed oscillator	Link, arXiv	Cite	Code	2018
Reconstructing networks of pulse-coupled oscillators from spike trains	Link, arXiv	Cite	Code, Demo	2017