Andrea Montanari (Stanford University)

dear all


I am writing to update the broadcasting information about
      Andrea's talk on next Wednesday.


In order to attend the online seminar, you can connect to


      https://meet.google.com/iwa-aetx-bky

    
      (needs authorization if you do not have a UniPi account and it is
      limited to 250 participants). 


The seminar will be also streamed live on the official YouTube
        channel of the Department
,

      at the URL:

    
https://www.youtube.com/channel/UCfMLkaFzJYx6JoMxtGvvqJw
    
 
        MATHEMATICAL PROBLEMS IN MODERN MACHINE LEARNING
Andrea Montanari (Stanford University)
 

      April 15, 2020, 4pm (CEST)

      
Abstract
: The last fifteen years have
      witnessed dramatic advances in machine learning. This progress was
      mainly driven by engineering advances: greater computing power,
      and larger availability of training data. Not only the collection
      of methods that emerged from this revolution are not well
      understood mathematically, but they actually appear to defy
      traditional mathematical theories of machine learning.

      
      I will argue that future developments and applications will
      require to understand better the underlying mathematical
      principles.

      
      I will describe two recent examples of mathematical progress in
      this area that are connected to areas of modern mathematics:

    
Gradient flows in Wasserstein spaces;
Random matrix theory.
[Based on joint work with: Song Mei, Phan-Minh Nguyen, Behrooz
      Ghorbani, Theodor Misiakiewicz]