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The constitution of visual perceptual units in the functional architecture of V1

机译:V1的功能体系结构中视觉感知单元的构成

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In this paper we show that the emergence of perceptual units in V1 can be explained in terms of a physical mechanism of simmetry breaking of the mean field neural equation. We consider a mean field neural model which takes into account the functional architecture of the visual cortex modeled as a group of rotations and translations equipped with a degenerate metric. The model generalizes well known results of Bressloff and Cowan which, in absence of input, accounts for hallucination patterns. The main result of our study consists in showing that in presence of a visual input, the stable eigenmodes of the linearized operator represent perceptual units of the visual stimulus. The result is strictly related to dimensionality reduction and clustering problems.
机译:在本文中,我们表明,可以通过平均场神经方程的模拟破坏的物理机制来解释V1中感知单元的出现。我们考虑一个平均场神经模型,该模型考虑了视皮层的功能体系结构,将其建模为一组带有退化度量的旋转和平移。该模型概括了Bressloff和Cowan的众所周知的结果,这些结果在没有输入的情况下说明了幻觉模式。我们研究的主要结果在于,在存在视觉输入的情况下,线性化算子的稳定本征模式表示视觉刺激的感知单位。结果与降维和聚类问题严格相关。

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