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MODÈLE MATHÉMATIQUE D'ACQUISITION DES INVARIANTS PERCEPTIFS

Abstract : A mathematical model of visual perception is presented with the intention of throwing some light on the problem of perceptual invariance. Two types of differential manifolds (receptive and effector) are associated with the repertoire which is the fundamental concept in the model. The elements of the repertoire carry weights which control the input-output relation in the repertoire and which can be modified by a learning process. It is shown that, under reasonable conditions, these repertoires possess good stability properties and can adjust to the various environments to which they may be subjected. In particular cases, it is shown that the stochastic learning process can be considered as deterministic to a first approximation.
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https://tel.archives-ouvertes.fr/tel-00858733
Contributor : Bernard Victorri <>
Submitted on : Thursday, September 5, 2013 - 10:03:16 PM
Last modification on : Thursday, October 29, 2020 - 3:01:18 PM
Long-term archiving on: : Thursday, April 6, 2017 - 4:02:15 PM

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  • HAL Id : tel-00858733, version 1

Citation

Bernard Victorri. MODÈLE MATHÉMATIQUE D'ACQUISITION DES INVARIANTS PERCEPTIFS. Géométrie différentielle [math.DG]. Université de Montréal, 1981. Français. ⟨tel-00858733⟩

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