Zobrazeno 1 - 10
of 1 193
pro vyhledávání: '"Ciaglia, A."'
Publikováno v:
Journal of Geometry and Physics Volume 209 (2025)
We investigate the canonical pseudo-Riemannian metrics associated with Jordan-analogues of the coadjoint orbits for pseudo-Euclidean Jordan superalgebras.
Comment: 20 pages, 1 figure
Comment: 20 pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2311.01333
Publikováno v:
Modern Physics Letters A, 2023
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 theory of quantum information that embraces both classical and quantum inf
Externí odkaz:
http://arxiv.org/abs/2309.10428
Publikováno v:
Lecture Notes in Computer Science Volume 14072, Springer, 2023
We discuss how to exploit the recent formulation of classical and quantum information geometry in terms of normal states on $W^{*}$-algebras to formulate a problem that unifies Cencov's theorem and Petz's theorem.
Comment: 9 pages - Comments are
Comment: 9 pages - Comments are
Externí odkaz:
http://arxiv.org/abs/2305.12482
Publikováno v:
Lecture Notes in Computer Science, Volume 14072, 2023
In this paper some reflections on the concept of transition are presented: groupoids are introduced as models for the construction of a ``generalized logic'' whose basic statements involve pairs of propositions which can be conditioned. In this sense
Externí odkaz:
http://arxiv.org/abs/2305.12479
Autor:
Ciaglia, Florio Maria, Di Cosmo, Fabio, Facchi, Paolo, Ibort, Alberto, Konderak, Arturo, Marmo, Giuseppe
Publikováno v:
Journal of Geometry and Physics, Volume 191, 2023
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 a quantum field theory, or a thermodynamic system with finite density
Externí odkaz:
http://arxiv.org/abs/2302.01050
Autor:
Ciaglia, Floriana, Zuppichini, Francesco Saverio, Guerrie, Paul, McQuade, Mark, Solawetz, Jacob
The evaluation of object detection models is usually performed by optimizing a single metric, e.g. mAP, on a fixed set of datasets, e.g. Microsoft COCO and Pascal VOC. Due to image retrieval and annotation costs, these datasets consist largely of ima
Externí odkaz:
http://arxiv.org/abs/2211.13523
Autor:
Ciaglia, Florio M., Di Cosmo, Fabio, Ibort, Alberto, Marmo, Giuseppe, Schiavone, Luca, Zampini, Alessandro
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 Hamiltonian field theories. The case of non-Abelian gauge theories is addresse
Externí odkaz:
http://arxiv.org/abs/2208.14155
Autor:
Ciaglia, Florio M., Di Cosmo, Fabio, Ibort, Alberto, Marmo, Giuseppe, Schiavone, Luca, Zampini, Alessandro
Publikováno v:
Journal of Geometry and Physics Volume 204 (2024)
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 Hamiltonian mechanical point systems (as a (0 + 1)-dimensional field) and mor
Externí odkaz:
http://arxiv.org/abs/2208.14136
Publikováno v:
Information geometry, Special Issue: Half a Century of Information Geometry, 2023
We introduce the notion of smooth parametric model of normal positive linear functionals on possibly infinite-dimensional W*-algebras generalizing the notions of parametric models used in classical and quantum information geometry. We then use the Jo
Externí odkaz:
http://arxiv.org/abs/2207.09396
Publikováno v:
Information Geometry, Special Issue: Half a Century of Information Geometry, 2023
Given a real, finite-dimensional, smooth parallelizable Riemannian manifold $(\mathcal{N},G)$ endowed with a teleparallel connection $\nabla$ determined by a choice of a global basis of vector fields on $\mathcal{N}$, we show that the $G$-dual connec
Externí odkaz:
http://arxiv.org/abs/2207.08694