Mod\`ele \`a processus latent et algorithme EM pour la r\'egression non lin\'eaire

Faicel Chamroukhi, Allou Samé, Gérard Govaert, Patrice Aknin

A non linear regression approach which consists of a specific regression model incorporating a latent process, allowing various polynomial regression models to be activated preferentially and smoothly, is introduced in this paper. The model parameters are estimated by maximum likelihood performed via a dedicated expecation-maximization (EM) algorithm. An experimental study using simulated and real data sets reveals good performances of the proposed approach.

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