53 citations · 180 across the 63 of their papers we have counts for
5 papers · 1 filter
Cartan moving frames and the data manifolds
Eliot Tron, Rita Fioresi, Nicolas Couellan +1
The purpose of this paper is to employ the language of Cartan moving frames to study the geometry of the data manifolds and its Riemannian structure, via the data information metri…
Geometry of Singular Foliations and Learning Manifolds in ReLU Networks via the Data Information Matrix
Eliot Tron, Rita Fioresi
Understanding how real data is distributed in high dimensional spaces is the key to many tasks in machine learning. We want to provide a natural geometric structure on the space of…
Geometric quantization and unitary highest weight Harish-Chandra supermodules
Meng-Kiat Chuah, Rita Fioresi
Geometric quantization transforms a symplectic manifold with Lie group action to a unitary representation. In this article, we extend geometric quantization to the super setting. W…
Quantized semisimple Lie groups
Rita Fioresi, Robert Yuncken
These notes present a quick introduction to the q-deformations of semisimple Lie groups from the point of view of unitary representation theory. In order to remain concrete, we con…
Reduction of Quantum Principal Bundles over non affine bases
Rita Fioresi, Emanuele Latini, Chiara Pagani
In this paper we develop the theory of reduction of quantum principal bundles over projective bases. We show how the sheaf theoretic approach can be effectively applied to certain…