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Assemblée générale du projet PSL Statistical Physics and Mathematics

DMA Salle W

Les projections aléatoires constituent une technique de réduction de dimension simple et efficace en apprentissage automatique non supervisé. Elles reposent sur l'existence de quasi-immersions pour un ensemble de points d'un espace euclidien de haute dimension vers un espace de dimension inférieure. Nous proposerons une présentation du lemme de Johnson-Lindenstrauss centrée sur la notion de variable sous-gaussienne, puis nous discuterons de la meilleure manière de construire des projections simples, et en particulier creuses.

Optimal smooth approximation of integral cycles

Jussieu -- salle 15-16-309 4 Place Jussieu, Paris, France

Title: Optimal smooth approximation of integral cycles Speaker: Camillo De Lellis (Institute for Advanced Study, Princeton) Abtract: Integer rectifiable currents without boundary were introduced in the 60es as a good variational generalization of smooth cycles (smooth oriented submanifolds without boundary) of Riemannian manifolds. In the presentation I will give an idea of the foundational paper of Federer and Fleming, who introduced the concept which later became a powerful tool to tackle variational problems like the existence of submanifolds of least area in every integral homology class. One of the most […]