dear all

I am writing to announce the following Colloquium at the Mathematics department, Pisa University.

*MATHEMATICAL PROBLEMS IN MODERN MACHINE LEARNING** */Andrea Montanari (Stanford University)/

April 15, 2020, 4pm

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:

1. Gradient flows in Wasserstein spaces; 2. Random matrix theory.

[Based on joint work with: Song Mei, Phan-Minh Nguyen, Behrooz Ghorbani, Theodor Misiakiewicz]

In order to follow the exposition the audience can join the live streaming at the URL: https://stream.meet.google.com/stream/ea5a4a6c-6b34-428a-b45c-b0d625ee5610