49 citations · 107 across the 4 of their papers we have counts for
4 papers
Transitions in echo index and dependence on input repetitions
Peter Ashwin, Andrea Ceni
The echo index counts the number of simultaneously stable asymptotic responses of a nonautonomous (i.e. input-driven) dynamical system. It generalizes the well-known echo state pro…
The Echo Index and multistability in input-driven recurrent neural networks
Andrea Ceni, Peter Ashwin, Lorenzo Livi +1
A recurrent neural network (RNN) possesses the echo state property (ESP) if, for a given input sequence, it ``forgets'' any internal states of the driven (nonautonomous) system and…
Cross frequency coupling in next generation inhibitory neural mass models
Andrea Ceni, Simona Olmi, Alessandro Torcini +1
Coupling among neural rhythms is one of the most important mechanisms at the basis of cognitive processes in the brain. In this study we consider a neural mass model, rigorously ob…
Interpreting recurrent neural networks behaviour via excitable network attractors
Andrea Ceni, Peter Ashwin, Lorenzo Livi
Introduction: Machine learning provides fundamental tools both for scientific research and for the development of technologies with significant impact on society. It provides metho…