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A mathematical introduction to deep learning

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Multi angle
Authors : Xu, Jinchao (Author of the conference)
CIRM (Publisher )

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Abstract : I will give an elementary introduction of basic deep learning models and training algorithms from a mathematical viewpoint. In particular, I will relate some basic deep learning models with finite element and multigrid methods. I will also touch on some advanced topics to demonstrate the potential of new mathematical insight and analysis for improving the efficiency of deep learning technologies and, in particular, for their application to numerical solution of partial differential equations.

Keywords : deep learning; machine learning; finite element; multigrid

MSC Codes :
65L60 - Finite elements, Rayleigh-Ritz, Galerkin and collocation methods
68T07 - Artificial neural networks and deep learning

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 29/07/2022
    Conference Date : 14/07/2022
    Subseries : Research talks
    arXiv category : Numerical Analysis
    Mathematical Area(s) : Analysis and its Applications ; Numerical Analysis & Scientific Computing ; Computer Science ; Control Theory & Optimization ; PDE ; Probability & Statistics
    Format : MP4 (.mp4) - HD
    Video Time : 01:39:37
    Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students
    Download : https://videos.cirm-math.fr/2022-07-14_Xu.mp4

Information on the Event

Event Title : Jean-Morlet Chair - PinT 2022: 11th Conference on Parallel-in-Time Integration / Chaire Jean-Morlet 2022 - 11ème conférence PinT - Parallel-in-Time Integration
Event Organizers : Gander, Martin ; Hubert, Florence
Dates : 11/07/2022 - 15/07/2022
Event Year : 2022
Event URL : https://www.chairejeanmorlet.com/2642.html

Citation Data

DOI : 10.24350/CIRM.V.19938903
Cite this video as: Xu, Jinchao (2022). A mathematical introduction to deep learning. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19938903
URI : http://dx.doi.org/10.24350/CIRM.V.19938903

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