5 papers
Worst Exponential Decay Rate for Degenerate Gradient flows subject to persistent excitation
Yacine Chitour, Paolo Mason, Dario Prandi
In this paper we estimate the worst rate of exponential decay of degenerate gradient flows , issued from adaptive control theory. Under persistent excitation assumpt…
Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling
Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +2
We consider the evolution model proposed in [9, 6] to describe illusory contrast perception phenomena induced by surrounding orientations. Firstly, we highlight its analogies and d…
Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle
Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +3
In this work we have aimed to reproduce supra-threshold perception phenomena, specifically visual illusions, with Wilson-Cowan-type models of neuronal dynamics. We have found that…
Hardy-type inequalities for the Carnot-Carathéodory distance in the Heisenberg group
Valentina Franceschi, Dario Prandi
In this paper we study various Hardy inequalities in the Heisenberg group , w.r.t. the Carnot-Carathéodory distance from the origin. We firstly show that the optim…
A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations
Marcelo Bertalmío, Luca Calatroni, Valentina Franceschi +2
We consider a differential model describing neuro-physiological contrast perception phenomena induced by surrounding orientations. The mathematical formulation relies on a cortical…