The mean-field limit of non-exchangeable integrate and fire systems | Vidéo | Carmin.tv

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The mean-field limit of non-exchangeable integrate and fire systems

By Pierre-Emmanuel Jabin

Appears in collection : Research School - Jean Morlet Chair - Frontiers in Interacting Particle Systems, Aggregation-Diffusion Equations & Collective Behavior / Ecole - Chaire Jean Morlet - Frontières dans les équations de systèmes de particules en interaction. Equations d'agrégation-diffusion et comportement collectif

We investigate the mean-field limit of large networks of interacting biological neurons. The neurons are represented by the so-called integrate and fire models that follow the membrane potential of each neuron and captures individual spikes. However we do not assume any structure on the graph of interactions but consider instead any connection weights between neurons that obey a generic mean-field scaling. We are able to extend the concept of extended graphons, introduced in Jabin-Poyato-Soler, by introducing a novel notion of discrete observables in the system. This is a joint work with D. Zhou.

Information about the video

Date of recording 27/06/2024
Date of publication 22/07/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20194403
Cite this video Jabin, Pierre-Emmanuel (27/06/2024). The mean-field limit of non-exchangeable integrate and fire systems. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20194403
URL https://dx.doi.org/10.24350/CIRM.V.20194403

Domain(s)

Bibliography

JABIN, Pierre-Emmanuel, POYATO, David, et SOLER, Juan. Mean-field limit of non-exchangeable systems. arXiv preprint arXiv:2112.15406, 2021. - https://arxiv.org/abs/2112.15406
JABIN, Pierre-Emmanuel et ZHOU, Datong. The mean-field limit of sparse networks of integrate and fire neurons. arXiv preprint arXiv:2309.04046, 2023. - https://arxiv.org/abs/2309.04046

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