Stability analysis of a neural field self-organizing map

摘要

Neural field self-organizing map. Graphical representation of the learning algorithm introduced in [8, 9]. (A) Tactile bidimensional stimuli are mapped to an m-dimensional space through a function s that involves the skin receptors. This function is used to update the codebooks, which are then mapped to the neural space Ω of lower dimension. The input I receives the mapped input sample and provides input to the neural field and codebook equations. (B) The numerical steady-state solution of Eq. (1) (i.e., bump) defines the neighborhood (the group of neurons) that will have its neurons updating their codebooks based on Eq. (5)