Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Domaines cond-mat.stat-mech
Date Mercredi 13 Avril 2022
Heure 14:30
Institut LPENS
Salle Salle Djebar (29 rue d'Ulm)
Nom de l'orateur Koch-Janusz
Prenom de l'orateur Maciej
Addresse email de l'orateur
Institution de l'orateur University of Chicago/University of Zurich
Titre Relevant operators and symmetries through the lens of lossy compression theory
Résumé Identifying the relevant degrees of freedom is key to developing an effective theory. RG provides a framework for this, but its practical execution in unfamiliar systems is difficult. Machine learning (ML) approaches, on the other hand, though promising, lack formal interpretability: it is often unclear what relation the discovered, architecture-dependent, "relevant" features bear to objects of physical theory. I will present results addressing both issues. We develop a fast algorithm, the RSMI-NE, employing recent results in ML-based estimation of information-theoretic quantities to identify the most relevant field theory operators in a statistical system. Information about the phase diagram, correlations and symmetries (also emergent) can be obtained, which we validate on the example of the interacting dimer model. I will also discuss formal results underlying the algorithm: we establish an equivalence between the information- theoretic relevance defined in the Information Bottleneck (IB) approach of compression theory, and the field-theoretic relevance of the RG. We show analytically that for statistical physical systems the "relevant" degrees of freedom found using IB (and RSMI-NE) indeed correspond to operators with the lowest scaling dimensions, providing a dictionary connecting two distinct theoretical toolboxes, and paving the way to automated theory building in more complex settings.
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