| Title: |
Data-driven identification of macroscopic dynamics with implicit equation-free sampling and Gaussian process regression: for the example of an integrate-and-fire neural network |
| Authors: |
Settmacher, Torben; Wallner, Hannes; Spiliotis, Konstantinos; Siettos, Konstantinos; Starke, Jens |
| Contributors: |
Settmacher, Torben; Wallner, Hanne; Spiliotis, Konstantino; Siettos, Konstantino; Starke, Jens |
| Publication Year: |
2026 |
| Collection: |
IRIS Università degli Studi di Napoli Federico II |
| Description: |
We investigate a data-driven approach to derive low-dimensional macroscopic models of complex systems with only high-dimensional microscopic descriptions available. This is achieved by sampling of the macroscopic behaviour at selected points using an implicit equation-free approach with appropriate initialisation of the microscopic system. This enables subsequent data-driven identification of the macroscopic dynamics with Gaussian process regression. We demonstrate the technique on a high-dimensional neural network of integrate-and-fire neurons. A numerical bifurcation analysis of the obtained macroscopic model is performed, showing both stable and unstable branches. The appropriate sampling using the implicit equation-free approach avoids grid distortion and prevents spurious states as well as other artefacts. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/wos/WOS:001659614600001; journal:THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS; https://hdl.handle.net/11588/1029135 |
| DOI: |
10.1140/epjs/s11734-025-02112-x |
| DOI: |
10.1140/epjs/s11734-025-02112-x#citeas |
| Availability: |
https://hdl.handle.net/11588/1029135; https://doi.org/10.1140/epjs/s11734-025-02112-x; https://link.springer.com/article/10.1140/epjs/s11734-025-02112-x#citeas |
| Rights: |
info:eu-repo/semantics/openAccess ; license:Creative commons ; license uri:http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Accession Number: |
edsbas.FFE61E2E |
| Database: |
BASE |