753 citations · 3k across the 55 of their papers we have counts for
6 papers · 1 filter
Synthetic dimensions and spin-orbit coupling with an optical clock transition
L. F. Livi, G. Cappellini, M. Diem +8
We demonstrate a novel way of synthesizing spin-orbit interactions in ultracold quantum gases, based on a single-photon optical clock transition coupling two long-lived electronic…
Multiplex visibility graphs to investigate recurrent neural networks dynamics
Filippo Maria Bianchi, Lorenzo Livi, Cesare Alippi +1
A recurrent neural network (RNN) is a universal approximator of dynamical systems, whose performance often depends on sensitive hyperparameters. Tuning of such hyperparameters may…
Multifractal cross-correlation effects in two-variable time series of complex network vertex observables
Paweł Oświȩcimka, Lorenzo Livi, Stanisław Drożdż
We investigate the scaling of the cross-correlations calculated for two-variable time series containing vertex properties in the context of complex networks. Time series of such ob…
One-class classifiers based on entropic spanning graphs
Lorenzo Livi, Cesare Alippi
One-class classifiers offer valuable tools to assess the presence of outliers in data. In this paper, we propose a design methodology for one-class classifiers based on entropic sp…
Determination of the edge of criticality in echo state networks through Fisher information maximization
Lorenzo Livi, Filippo Maria Bianchi, Cesare Alippi
It is a widely accepted fact that the computational capability of recurrent neural networks is maximized on the so-called "edge of criticality". Once the network operates in this c…
Investigating echo state networks dynamics by means of recurrence analysis
Filippo Maria Bianchi, Lorenzo Livi, Cesare Alippi
In this paper, we elaborate over the well-known interpretability issue in echo state networks. The idea is to investigate the dynamics of reservoir neurons with time-series analysi…