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AUDIOVISUAL MATHEMATICS LIBRARY

AUDIOVISUAL MATHEMATICS LIBRARY

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What does back propagation compute?

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Multi angle
Auteurs : Pauwels, Edouard (Auteur de la Conférence)
CIRM (Editeur )

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Résumé : We are interested in nonsmooth analysis of backpropagation as implemented in modern machine learning librairies, such as Tensorflow or Pytorch. First I will illustrate how blind application of
differential calculus to nonsmooth objects can be problematic, requiring a proper mathematical model.
Then I will introduce a weak notion of generalized derivative, named conservativity, and illustrate how it complies with calculus and optimization for well structured objects. We provide stability results for empirical risk minimization similar as in the smooth setting for the combination of nonsmooth automatic differentiation, minibatch stochastic approximation and first order optimization. This is joint work with Jérôme Bolte.

Keywords : optimization; non-smooth analysis; machine learning

Codes MSC :
65K05 - Mathematical programming methods
65K10 - Optimization and variational techniques
 68T99 - None of the above but in this section
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2133/Slides/presPauwels.pdf
    Informations sur la Vidéo

    Réalisateur : Hennenfent, Guillaume
    Langue : Anglais
    Date de publication : 06/04/2020
    Date de captation : 09/03/2020
    Sous collection : Research talks
    arXiv category : Optimization and Control ; Machine Learning
    Domaine : Control Theory & Optimization ; Mathematics in Science & Technology
    Format : MP4 (.mp4) - HD
    Durée : 00:37:49
    Audience : Researchers
    Download : https://videos.cirm-math.fr/2020-03-09_Pauwels.mp4
Informations sur la Rencontre

Nom de la rencontre : Optimization for Machine Learning / Optimisation pour l'apprentissage automatique
Organisateurs de la rencontre : Boyer, Claire ; d'Aspremont, Alexandre ; Gramfort, Alexandre ; Salmon, Joseph ; Villar, Soledad
Dates : 09/03/2020 - 13/03/2020
Année de la rencontre : 2020
URL Congrès : https://conferences.cirm-math.fr/2133.html

Données de citation

DOI : 10.24350/CIRM.V.19623303
Citer cette vidéo: Pauwels, Edouard (2020). What does back propagation compute?. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19623303
URI : http://dx.doi.org/10.24350/CIRM.V.19623303

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