Organization of Receptive Fields in Networks with Hebbian Learning. TheConnection between Synaptic and Phenomenological Models

摘要

In this paper we address the question of how does the lateral interaction affectthe formation and organization of receptive fields in a network composed of interacting neurons with Hebbian type learning. We will show how to partially decouple the single cell effects from the network effects, and how some phenomenological models can be seen as approximations to these learning networks. We show that the interaction effects the structure of receptive fields. We also demonstrate how the organization of different receptive fields across the cortex is influenced by the interaction term, and that the type of singularities depend on the symmetries of the receptive fields.