论文标题
2D框架的表示较少的视觉空间作为神经歧管及其信息几何解释
Representation of 2D frame less visual space as a neural manifold and its information geometric interpretation
论文作者
论文摘要
列出了2D框架的视觉空间较少的视觉空间及其在信息几何形状的框架工作中的建模。使用神经科学的证据研究了视觉空间双曲线的起源。根据结果，我们建议可以在人脑中的空间信息（尤其是距离估计，感知的几何曲线等）的处理，可以以带有Fisher-Rao度量的参数概率空间进行建模。分析了空间的紧凑性，凸度和不同性，并发现它们遵守Busemann提出的G空间的公理。进一步表明，它可以被视为恒定负曲率的均匀的riemannian空间。因此，确保该空间会产生地球化学。代表许多视觉现象的测量学的计算机模拟并提倡视觉空间的双曲线结构。提出了模拟结果与已发布的实验数据的比较。
Representation of 2D frame less visual space as neural manifold and its modelling in the frame work of information geometry is presented. Origin of hyperbolic nature of the visual space is investigated using evidences from neuroscience. Based on the results we propose that the processing of spatial information, particularly estimation of distance, perceiving geometrical curves etc. in the human brain can be modeled in a parametric probability space endowed with Fisher-Rao metric. Compactness, convexity and differentiability of the space is analysed and found that they obey the axioms of G space, proposed by Busemann. Further it is shown that it can be considered as a homogeneous Riemannian space of constant negative curvature. It is therefore ensured that the space yields geodesics into it. Computer simulation of geodesics representing a number of visual phenomena and advocating the hyperbolic structure of visual space is carried out. Comparison of the simulated results with the published experimental data is presented.
