no code implementations • 9 Feb 2022 • Lorenzo Chicchi, Duccio Fanelli, Lorenzo Giambagli, Lorenzo Buffoni, Timoteo Carletti
A novel strategy to automated classification is introduced which exploits a fully trained dynamical system to steer items belonging to different categories toward distinct asymptotic attractors.
no code implementations • 17 Jun 2021 • Lorenzo Chicchi, Lorenzo Giambagli, Lorenzo Buffoni, Timoteo Carletti, Marco Ciavarella, Duccio Fanelli
Deep neural networks can be trained in reciprocal space, by acting on the eigenvalues and eigenvectors of suitable transfer operators in direct space.
no code implementations • 3 Dec 2020 • Riccardo Muolo, Timoteo Carletti, James P. Gleeson, Malbor Asllani
Using this method, it has been shown that for a class of models, synchronization in strongly directed networks is robust to external perturbations.
Adaptation and Self-Organizing Systems Statistical Mechanics Pattern Formation and Solitons
1 code implementation • 29 May 2020 • Lorenzo Giambagli, Lorenzo Buffoni, Timoteo Carletti, Walter Nocentini, Duccio Fanelli
Interestingly, spectral learning limited to the eigenvalues returns a distribution of the predicted weights which is close to that obtained when training the neural network in direct space, with no restrictions on the parameters to be tuned.
no code implementations • 6 Nov 2018 • Johan Barthélemy, Morgane Dumont, Timoteo Carletti
The outcomes of those experiments highlight the fact that artificial neural networks outperforms the discrete choice models, except when the distribution of the classes in the training data is highly unbalanced.