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19–29 avr. 2022
Institut Pascal
Fuseau horaire Europe/Paris

Renormalized Mutual Information for Artificial Scientific Discovery

28 avr. 2022, 11:45
15m
Institut Pascal

Institut Pascal

Orateur

Leopoldo Sarra (Max Planck Institute Science of Light)

Description

We derive a well-defined renormalized version of mutual information that allows us to estimate the dependence between continuous random variables in the important case when one is deterministically dependent on the other. This is the situation relevant for feature extraction, where the goal is to produce allow-dimensional effective description of a high-dimensional system. Our approach enables the discovery of collective variables in physical systems, thus adding to the toolbox of artificial scientific discovery, while also aiding the analysis of information flow in artificial neural networks.

Auteurs principaux

Leopoldo Sarra (Max Planck Institute Science of Light) Florian Marquardt (Max Planck Institute for the Science of Light) Andrea Aiello (Max Planck Institute for the Science of Light)

Documents de présentation