Stanford University; Heidelberg University; HITS
Federico López, Beatrice Pozzetti, Steve Trettel, Michael Strube, Anna Wienhard
symmetric spaces;spd space;spd manifold;symmetric positive definite matrices;spd;riemannian manifold;rotations;reflections;translations;scaling;gyro vector;gyro calculus;gyro groups;gyrocalculus;tangent space optimization;non euclidean optimization;hyperbolic geometry;hyperbolic space;matrix models;non-euclidean geometry;finsler metrics;finsler distance;finsler geometry;vector valued distance;vector valued distance function;riemannian manifold learning;manifold learning;geometric deep learning;graph embeddings;knowledge graph embeddings;item recommendations;question answering
Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matrices