53 citations · 180 across the 63 of their papers we have counts for
6 papers · 1 filter
The Geometry of Quantum Computing
E. Ercolessi, R. Fioresi, T. Weber
In this expository paper we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we…
Geometric Deep Learning: a Temperature Based Analysis of Graph Neural Networks
M. Lapenna, F. Faglioni, F. Zanchetta +1
We examine a Geometric Deep Learning model as a thermodynamic system treating the weights as non-quantum and non-relativistic particles. We employ the notion of temperature previou…
Generalized root systems
Ivan Dimitrov, Rita Fioresi
We generalize the notion of a root system by relaxing the conditions that ensure that it is invariant under reflections and study the resulting structures, which we call generalize…
Quantum Chiral Superfields
Rita Fioresi, María A. Lledó, Junaid Razzaq
We define the ordinary Minkowski space inside the conformal space according to Penrose and Manin as homogeneous spaces for the Poincaré and conformal group respectively. We realize…
A new perspective on border completion in visual cortex as bicycle rear wheel geodesics paths via sub-Riemannian Hamiltonian formalism
R. Fioresi, A. Marraffa, J. Petkovic
We present a review of known models and a new simple mathematical modelling for border completion in the visual cortex V1 highlighting the striking analogies with bicycle rear whee…
Basic quasi-reductive root data and supergroups
Rita Fioresi, Bin Shu
We investigate pairs , where is a reductive algebraic group and a purely-odd -superscheme, asking when a pair corresponds to a quasi-reductive algebraic supergrou…