Activity estimation via distributed measurements in an orientation sensitive neural fields model of the visual cortex
arxiv(2024)
摘要
This paper investigates the online estimation of neural activity within the
primary visual cortex (V1) in the framework of observability theory. We focus
on a low-dimensional neural fields modeling hypercolumnar activity to describe
activity in V1. We utilize the average cortical activity over V1 as
measurement. Our contributions include detailing the model's observability
singularities and developing a hybrid high-gain observer that achieves, under
specific excitation conditions, practical convergence while maintaining
asymptotic convergence in cases of biological relevance. The study emphasizes
the intrinsic link between the model's non-linear nature and its observability.
We also present numerical experiments highlighting the different properties of
the observer.
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