10 citations · 25 across the 5 of their papers we have counts for
6 papers
Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matrices
Federico López, Beatrice Pozzetti, Steve Trettel +2
We propose the use of the vector-valued distance to compute distances and extract geometric information from the manifold of symmetric positive definite matrices (SPD), and develop…
Symmetric Spaces for Graph Embeddings: A Finsler-Riemannian Approach
Federico López, Beatrice Pozzetti, Steve Trettel +2
Learning faithful graph representations as sets of vertex embeddings has become a fundamental intermediary step in a wide range of machine learning applications. We propose the sys…
Hermitian Symmetric Spaces for Graph Embeddings
Federico López, Beatrice Pozzetti, Steve Trettel +1
Learning faithful graph representations as sets of vertex embeddings has become a fundamental intermediary step in a wide range of machine learning applications. The quality of the…
Non-Euclidean Virtual Reality III: Nil
Rémi Coulon, Elisabetta A. Matsumoto, Henry Segerman +1
We describe a method of rendering real-time scenes in Nil geometry, and use this to give an expository account of some interesting geometric phenomena. You can play around with the…
Non-Euclidean Virtual Reality IV: Sol
Rémi Coulon, Elisabetta A. Matsumoto, Henry Segerman +1
This article presents virtual reality software designed to explore the Sol geometry. The simulation is available on 3-dimensional.space/sol.html
Families of Geometries, Real Algebras, and Transitions
Steve Trettel
This thesis details the results of four interrelated projects. The first of these presents a new proof of the theorem of Cooper, Danciger and Wienhard classifying the limits under…