[PMLR 2018] Hyperbolic entailment cones for learning hierarchical embeddings

Contents

• Introduction
• Entailment Cones in the Poincaré Ball
• • Convex cones in a complete Riemannian manifold
  • Angular cones in the Poincaré ball
  • • four intuitive properties
    • Closed form expression of the optimal ψ \psi