Mathematical model of acquisition of perceptive invariance
type: Dataset
description: 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.
issued: 2026-05-09T20:40:23.443108
language: fr
modified: 2026-05-09T20:40:23.443112
contact point: Organization
  fn: CCSD
keyword: acquisition
keyword: differential-manifold
keyword: groupe-de-lie
keyword: infoeu-reposemanticsdoctoralthesis
keyword: invariant-perceptif
keyword: learning-model
keyword: lie-group
keyword: markov-process
keyword: mathmath-dgmathematics-mathdifferential-geometry-mathdg
keyword: mathmath-dsmathematics-mathdynamical-systems-mathds
keyword: mathmath-prmathematics-mathprobability-mathpr
keyword: modele-dapprentissage
keyword: parceptive-invariant
keyword: perception
keyword: plasticite
keyword: plasticity
keyword: processus-de-markov
keyword: scconeurcognitive-scienceneuroscience
keyword: sccopsyccognitive-sciencepsychology
keyword: sdvneunblife-sciences-q-bioneurons-and-cognition-q-bioncneurobiology
keyword: sdvneupclife-sciences-q-bioneurons-and-cognition-q-bioncpsychology-and-behavior
keyword: theses
keyword: variete-differentielle
landing page: https://theses.hal.science/tel-00858733

Mathematical model of acquisition of perceptive invariance
type: Distribution
format: HTML
issued: 2026-05-09T20:40:23.445621
modified: 2026-05-09T20:40:23.417890
access URL: https://theses.hal.science/tel-00858733

test_moissonnage_selune
type: Agent