Giulia Cornara
Evaluating the entropy of physical systems using diffusion models.
Rel. Paolo Garza, Pietro Michiardi. Politecnico di Torino, Corso di laurea magistrale in Data Science And Engineering, 2024
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Abstract
This work focuses on the application of diffusion models, a very well-known type of generative artificial intelligence, to the mathematical and physical problem of the computation of entropy. The main goal of this work is to show that diffusion models can be used to compute entropy in a very efficient way, exploiting their recognized ability to learn the underlying data distrbution of a system. To this scope, first of all a good part of the presented work has been dedicated to the study of similar methods present in literature, to understand in particular which datasets are used to benchmark the task of entropy computation.
This analysis brought to the result that in the physics world the preferred choice is to focus on spin systems, such as the Ising and XY models, for which the entropy has been analytically computed
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