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Communication Dans Un Congrès Année : 1997

Fiber bundles and receptive neural fields

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Résumé

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.
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Dates et versions

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

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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⟩
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