7 citations · 20 across the 7 of their papers we have counts for
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Large deviations of the free energy in the p-spin glass spherical model
Mauro Pastore, Andrea Di Gioacchino, Pietro Rotondo
We investigate the behavior of the rare fluctuations of the free energy in the p-spin spherical model, evaluating the corresponding rate function via the Gärtner-Ellis theorem. Thi…
Intrinsic dimension estimation for locally undersampled data
Vittorio Erba, Marco Gherardi, Pietro Rotondo
High-dimensional data are ubiquitous in contemporary science and finding methods to compress them is one of the primary goals of machine learning. Given a dataset lying in a high-d…
Dynamics of strongly coupled disordered dissipative spin-boson systems
Eliana Fiorelli, Pietro Rotondo, Federico Carollo +2
Spin-boson Hamiltonians are an effective description for numerous quantum many-body systems such as atoms coupled to cavity modes, quantum electrodynamics in circuits and trapped i…
Counting the learnable functions of structured data
Pietro Rotondo, Marco Cosentino Lagomarsino, Marco Gherardi
Cover's function counting theorem is a milestone in the theory of artificial neural networks. It provides an answer to the fundamental question of determining how many binary assig…
Generalization from correlated sets of patterns in the perceptron
Francesco Borra, Marco Cosentino Lagomarsino, Pietro Rotondo +1
Generalization is a central aspect of learning theory. Here, we propose a framework that explores an auxiliary task-dependent notion of generalization, and attempts to quantitative…