Hyperbolic embedding

Embedding (often Graph embedding) that uses Hyperbolic space rather than Euclidean space.

Hyperbolic space is nice for embedding networks because it’s a perfect space for embedding a branching tree (more space as we move farther away from the center) and it also naturally incorporate community structure (angle direction).

• https://github.com/marlin-codes/Awesome-Hyperbolic-Representation-and-Deep-Learning

See also Krioukov2010hyperbolic as an intro.

Methods

• Poincaré Embedding
• “ultrahyperbolic” embedding - Law2020ultrahyperbolic
• Lorentzian: Law2019Lorentzian
• Chami2019hyperbolic - hyperbolic Graph convolutional network
• Chami2020low dimensional - Embedding of Knowledge graph