| Numéro |
J. Phys. IV France
Volume 12, Numéro 1, mars 2002
|
|
|---|---|---|
| Page(s) | 157 - 188 | |
| DOI | https://doi.org/10.1051/jp42002007 | |
J. Phys. IV France 12 (2002) Pr1-157
DOI: 10.1051/jp42002007
Les perceptrons multicouches : de la régression non-linéaire aux problèmes inverses
F. Badran and S. ThiriaLaboratoire d'Océanographie Dynamique et Climatologie, 4 place Jussieu, 75005 Paris, France CÉDRIC, Conservatoire National des Arts et Métiers, 292 rue Saint-Martin, 75003 Paris, France
Abstract
The problem of nonlinear least square regression using multi-layered perceptrons is addressed in this paper. A general formulation
using maximum likelihood is given and a particular attention is paid to algorithm accounting for uncertainties. The generalization
to density estimation is given. In the second part of the paper, a general framework allows to modelize general inverse problems.
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