33 citations · 47 across the 5 of their papers we have counts for
10 papers
Emergence of Lie symmetries in functional architectures learned by CNNs
Federico Bertoni, Noemi Montobbio, Alessandro Sarti +1
In this paper we study the spontaneous development of symmetries in the early layers of a Convolutional Neural Network (CNN) during learning on natural images. Our architecture is…
Geometrical Optical Illusion via Sub-Riemannian Geodesics in the Roto-Translation Group
Benedetta Franceschiello, Alexey Mashtakov, Giovanna Citti +1
We present a neuro-mathematical model for geometrical optical illusions (GOIs), a class of illusory phenomena that consists in a mismatch of geometrical properties of the visual st…
KerCNNs: biologically inspired lateral connections for classification of corrupted images
Noemi Montobbio, Laurent Bonnasse-Gahot, Giovanna Citti +1
The state of the art in many computer vision tasks is represented by Convolutional Neural Networks (CNNs). Although their hierarchical organization and local feature extraction are…
A sub-Riemannian model of the visual cortex with frequency and phase
E. Baspinar, A. Sarti, G. Citti
In this paper we present a novel model of the primary visual cortex (V1) based on orientation, frequency and phase selective behavior of the V1 simple cells. We start from the firs…
A neuro-mathematical model for size and context related illusions
Benedetta Franceschiello, Alessandro Sarti, Giovanna Citti
We provide here a mathematical model of size/context illusions, inspired by the functional architecture of the visual cortex. We first recall previous models of scale and orientati…
Neurogeometry of perception: isotropic and anisotropic aspects
Giovanna Citti, Alessandro Sarti
In this paper we first recall the definition of geometical model of the visual cortex, focusing in particular on the geometrical properties of horizontal cortical connectivity. The…