262 citations · 1.1k across the 78 of their papers we have counts for
86 papers
Theory for groupoid equivariant neural networks: an approach for steerable CNNs on bounded domains
Alberto Ibort, Maria Jimenez-Vazquez, Juan M. Perez-Pardo
Equivariant convolutional neural networks are usually built from a group acting globally on the space of signals. This hypothesis is inappropriate for many bounded or stratified do…
On the categorical foundations of quantum information theory: Categories and the Cramer-Rao inequality
Florio M. Ciaglia, Fabio Di Cosmo, Laura González-Bravo +2
An extension of Cencov's categorical description of classical inference theory to the domain of quantum systems is presented. It provides a novel categorical foundation to the theo…
Groupoid and algebra of the infinite quantum spin chain
Florio Maria Ciaglia, Fabio Di Cosmo, Paolo Facchi +3
It is well known that certain features of a quantum theory cannot be described in the standard picture on a Hilbert space. In particular, this happens when we try to formally frame…
The Geometry of the solution space of first order Hamiltonian field theories II: non-Abelian gauge theories
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We go on with the program started in the companion paper [CDI+] of defining a Poisson bracket structure on the space of solutions of the equations of motion of first order Hamilton…
The Geometry of the solution space of first order Hamiltonian field theories I: from particle dynamics to free Electrodynamics
Florio M. Ciaglia, Fabio Di Cosmo, Alberto Ibort +3
We analyse the problem of defining a Poisson bracket structure on the space of solutions of the equations of motions of first order Hamiltonian field theories. The cases of Hamilto…
L-extensions and L-boundary of conformal spacetimes
A. Bautista, A. Ibort, J. Lafuente
The notion of L-boundary, a new causal boundary proposed by R. Low based on constructing a `sky at infinity' for any light ray, is discussed in detail. The analysis of the notion o…