25 citations · 91 across the 12 of their papers we have counts for
12 papers
On the number of limit cycles in diluted neural networks
Sungmin Hwang, Enrico Lanza, Giorgio Parisi +3
We consider the storage properties of temporal patterns, i.e. cycles of finite lengths, in neural networks represented by (generally asymmetric) spin glasses defined on random grap…
Large deviations of glassy effective potentials
Silvio Franz, Jacopo Rocchi
The theory of glassy fluctuations can be formulated in terms of disordered effective potentials. While the properties of the average potentials are well understood, the study of th…
Inverse problems for structured datasets using parallel TAP equations and RBM
Aurélien Decelle, Sungmin Hwang, Jacopo Rocchi +1
We propose an efficient algorithm to solve inverse problems in the presence of binary clustered datasets. We consider the paradigmatic Hopfield model in a teacher student scenario,…
A fast and accurate algorithm for inferring sparse Ising models via parameters activation to maximize the pseudo-likelihood
Silvio Franz, Federico Ricci-Tersenghi, Jacopo Rocchi
We propose a new algorithm to learn the network of the interactions of pairwise Ising models. The algorithm is based on the pseudo-likelihood method (PLM), that has already been pr…
Slow Spin Dynamics and Self-Sustained Clusters in Sparsely Connected Systems
Jacopo Rocchi, David Saad, Chi Ho Yeung
To identify emerging microscopic structures in low temperature spin glasses, we study self-sustained clusters (SSC) in spin models defined on sparse random graphs. A message-passin…
High storage capacity in the Hopfield model with auto-interactions - stability analysis
Jacopo Rocchi, David Saad, Daniele Tantari
Recent studies point to the potential storage of a large number of patterns in the celebrated Hopfield associative memory model, well beyond the limits obtained previously. We inve…
Self-Sustained Clusters as Drivers of Computational Hardness in -spin Models
Jacopo Rocchi, David Saad, Chi Ho Yeung
While macroscopic properties of spin glasses have been thoroughly investigated, their manifestation in the corresponding microscopic configurations is much less understood. Cases w…
Emerging interdependence between stock values during financial crashes
Jacopo Rocchi, Enoch Yan Lok Tsui, David Saad
To identify emerging interdependencies between traded stocks we investigate the behavior of the stocks of FTSE 100 companies in the period 2000-2015, by looking at daily stock valu…
Cross correlations of the American baby names
Paolo Barucca, Jacopo Rocchi, Enzo Marinari +2
The quantitative description of cultural evolution is a challenging task. The most difficult part of the problem is probably to find the appropriate measurable quantities that can…
Statistical mechanics of the spherical hierarchical model with random fields
Fernando L. Metz, Jacopo Rocchi, Pierfrancesco Urbani
We study analytically the equilibrium properties of the spherical hierarchical model in the presence of random fields. The expression for the critical line separating a paramagneti…
Ensemble renormalization group for the random field hierarchical model
Aurélien Decelle, Giorgio Parisi, Jacopo Rocchi
The Renormalization Group (RG) methods are still far from being completely understood in quenched disordered systems. In order to gain insight into the nature of the phase transiti…
Critical Exponents of the Random Field Hierarchical Model
Giorgio Parisi, Jacopo Rocchi
We have studied the one dimensional Dyson hierarchical model in presence of a random field. This is a long range model where the interactions scale with the distance with a power l…