Statistical mirror symmetry
In this paper, we investigate a duality between Hermitian and almost Kähler structures on
the tangent manifold TM induced by pairs of conjugate connections on its base, affine …
the tangent manifold TM induced by pairs of conjugate connections on its base, affine …
From Hessian to Weitzenböck: manifolds with torsion-carrying connections
We investigate affine connections that have zero curvature but not necessarily zero torsion.
Slightly generalizing from what is known as Weitzenböck connections, such non-flat …
Slightly generalizing from what is known as Weitzenböck connections, such non-flat …
Any K\" ahler metric is a Fisher information metric
E Gnandi - arXiv preprint arXiv:2405.19020, 2024 - arxiv.org
The Fisher information metric or the Fisher-Rao metric corresponds to a natural Riemannian
metric defined on a parameterized family of probability density functions. As in the case of …
metric defined on a parameterized family of probability density functions. As in the case of …
The categorical foundations of quantum information theory: Categories and the Cramer–Rao inequality
FM Ciaglia, F Di Cosmo, L González-Bravo… - … Physics Letters A, 2023 - World Scientific
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 …
of quantum systems is presented. It provides a novel categorical foundation to the theory of …
G-dual teleparallel connections in Information Geometry
Given a real, finite-dimensional, smooth parallelizable Riemannian manifold (N, G)
endowed with a teleparallel connection∇ determined by a choice of a global basis of vector …
endowed with a teleparallel connection∇ determined by a choice of a global basis of vector …