Les Perceptrons Multicouches: de la régression non-linéaire aux problèmes inverses

Fouad Badran (1) , Sylvie Thiria (2)

1 CEDRIC - Centre d'études et de recherche en informatique et communications
2 LODYC - Laboratoire d'océanographie dynamique et de climatologie

The problem of nonlinear least square regression using multi-layered perceptrons is addressed inthispaper. 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.

Domaines: Informatique [cs]; Statistiques [math.ST]

Fouad Badran, Sylvie Thiria. Les Perceptrons Multicouches: de la régression non-linéaire aux problèmes inverses. [Research Report] CEDRIC-01-242, CEDRIC Lab/CNAM. 2001. ⟨hal-01124633⟩