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Topic: synaptic interactions

Seminar
1 seminar

In Applied Mathematics and Biology

Seminar · Computational Neuroscience

Neural networks in the replica-mean field limits

Thibaud Taillefumier · The University of Texas at Austin

Wed, Nov 30, 2022 · 05:00 UTC

In this talk, we propose to decipher the activity of neural networks via a “multiply and conquer” approach. This approach considers limit networks made of infinitely many replicas with the same basic neural structure. The key point is that these so-called replica-mean-field networks are in fact simplified, tractable versions of neural networks that retain important features of the finite network structure of interest. The finite size of neuronal populations and synaptic interactions is a core determinant of neural dynamics, being responsible for non-zero correlation in the spiking activity and