Fiber bundles and receptive neural fields - ENAC - École nationale de l'aviation civile Accéder directement au contenu
Communication Dans Un Congrès Année : 1997

Fiber bundles and receptive neural fields


Some networks, like RBF networks or Kohonen feature maps, can be viewed as mappings from an input manifold (the signal space) to a neural receptive field, generally lower dimensional. The activation of a neuron, given by application of a smooth function to a weighted norm of the difference between the input and the so called center of the cell, can be thought as a membership value to a one point set. Generalizing this approach leads to the concept of halo around a set. The base set and its halo constitute a topological pair and can be provided with a membership function. The resulting triples are then used as total and base space for a fibered structure that provides a general framework for dealing with neural fields.
Fichier non déposé

Dates et versions

hal-01020966 , version 1 (08-07-2014)



Stéphane Puechmorel. Fiber bundles and receptive neural fields. ICNN 1997, International Conference on Neural Networks, Jun 1997, Houston, United States. pp 1127-1130, ⟨10.1109/ICNN.1997.616188⟩. ⟨hal-01020966⟩
39 Consultations
0 Téléchargements



Gmail Facebook Twitter LinkedIn More