Pour rappel:
– le séminaire est après-demain
– les informations de connexion sont disponibles sur la page des séminaires: https://gdr-radia.cnrs.fr/seminaire/
(et les vidéos des anciens séminaires sont disponibles ici: https://www.gdria.fr/seminaire/)
> Le 2 oct. 2023 à 10:38, Sébastien Konieczny a écrit :
>
> Le prochain séminaire GDR RADIA aura lieu Mercredi 11 Octobre à 11h
> Il s’agira d’une intervention de Thierry Denoeux (UTC – IUF)
>
> Titre: « Random fuzzy sets and belief functions: application to machine learning»
>
> Résumé: The theory of belief functions is a powerful formalism for uncertain reasoning, with many successful applications to knowledge representation, information fusion, and machine learning. Until now, however, most applications have been limited to problems (such as classification) in which the variables of interest take values in finite domains. Although belief functions can, in theory, be defined in infinite spaces, we lacked practical representations allowing us to manipulate and combine such belief functions. In this talk, I show that the theory of epistemic random fuzzy sets, an extension of Possibility and Dempster-Shafer theories, provides an appropriate framework for evidential reasoning in general spaces. In particular, I introduce Gaussian random fuzzy numbers and vectors, which generalize both Gaussian random variables and Gaussian possibility distributions. I then describe an application of this new formalism to nonlinear regression with uncertainty quantification.
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