2 papers
cs.CL2018
Skip-gram word embeddings in hyperbolic space
Matthias Leimeister, Benjamin J. Wilson
Recent work has demonstrated that embeddings of tree-like graphs in hyperbolic space surpass their Euclidean counterparts in performance by a large margin. Inspired by these result…
math.OC2018
Gradient descent in hyperbolic space
Benjamin Wilson, Matthias Leimeister
Gradient descent generalises naturally to Riemannian manifolds, and to hyperbolic -space, in particular. Namely, having calculated the gradient at the point on the manifold repr…