2 papers
cs.LG2025
Navigation through Non-Compact Symmetric Spaces: a mathematical perspective on Cartan Neural Networks
Pietro Giuseppe Fré, Federico Milanesio, Guido Sanguinetti +1
Recent work has identified non-compact symmetric spaces U/H as a promising class of homogeneous manifolds to develop a geometrically consistent theory of neural networks. An initia…
cs.LG2025
Cartan Networks: Group theoretical Hyperbolic Deep Learning
Federico Milanesio, Matteo Santoro, Pietro G. Fré +1
Hyperbolic deep learning leverages the metric properties of hyperbolic spaces to develop efficient and informative embeddings of hierarchical data. Here, we focus on the solvable g…