基于形态计算的感觉运动转换Hopfield模型(前庭-眼系统)

G. Resconi, C. Loo
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摘要

有力的证据表明,神经元的树突状树突具有非欧几里得的分形几何[1]。例如,前庭-眼系统接收前庭系统的信息作为输入,然后将三维传感器转换为控制眼睛运动的六个马达或肌肉作为输出。现在输出系统可以在欧几里德三维空间中表示,但这会产生很多问题。受形态计算(morphic computing)的启发[13-24],我们认为大脑改变了输出系统的局部几何形状,以照顾肌肉系统的非线性。大脑通过合适的自适应视角或几何来补偿非线性几何。在本文中,我们给出了形态计算启发的类hopfield神经网络模型的一个更一般的表示。量子Hopfield神经网络模型和量子全息可以推广到几何形状随时变化的非正交模式码。在传统的Hopfield系统中,几何总是同一个欧几里得和固定的度量。
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Morphic Computing Inspired Hopfield Model for Sensorimotor Transformation (Vestibule-Ocular System)
It is strongly evidenced that dendritic arbors of neurons reveal fractal geometries which is non-euclidean [1]. For example, The vestibular-Ocular system receive information by the vestibular system as input and after transform the three dimensional sensors into the six motors or muscles that control the eyes movement as output. Now the output system con be representer in euclidean three dimension space but this create a lost of the problems. With the inspiration from morphic computing [13-24], we argue that the brain changes the local geometry of the output system in a way to take care of the nonlinearity of the muscles system. Brain compensates the nonlinear geometry by suitable adaptive point of view or geometry. In this paper we give a more general representation of the morphic computing inspired Hopfield-like neural net model. The quantum Hopfield neural net model and quantum holography can be extended to nonorthogonal pattern code which geometry change in anytime. In the traditional Hopfield system geometry is always the same Euclidean with fixed metric.
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