视觉皮层方向敏感神经场模型中通过分布式测量进行活动估计
Activity estimation via distributed measurements in an orientation sensitive neural fields model of the visual cortex
AI总结：
针对V1低维方向敏感神经场模型，提出以平均皮层活动为测量的混合高增益观测器，分析可观测性奇点并验证收敛性能。
摘要：
本文在可观测性理论框架下研究初级视觉皮层（V1）内神经活动的在线估计。我们聚焦于一个对超柱活动进行建模的低维神经场，以描述V1中的活动。我们利用V1上的平均皮层活动作为测量。我们的贡献包括详细说明该模型的可观测性奇点，并开发一种混合高增益观测器；该观测器在特定激励条件下实现实用收敛，同时在具有生物学相关性的情形下保持渐近收敛。该研究强调模型的非线性本质与其可观测性之间的内在联系。我们还给出了数值实验，以突出该观测器的不同性质。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
