Hyperbolic Neural Networks

A comprehensive introduction to differential geometry

Michael Spivak · 1979

Earlier work this paper cites.

Hyperbolic groups

Mikhael Gromov · 1987

Earlier work this paper cites.

A focus+ context technique based on hyperbolic geometry for visualizing large hierarchies

John Lamping, Ramana Rao, and Peter Pirolli · 1995

Earlier work this paper cites.

Hyperbolic geometry

James W Cannon, William J Floyd, Richard Kenyon, Walter R Parry, et al · 1997

Earlier work this paper cites.

The hyperbolic derivative in the poincaré ball model of hyperbolic geometry

Graciela S Birman and Abraham A Ungar · 2001

Earlier work this paper cites.

Hyperbolic trigonometry and its application in the poincaré ball model of hyperbolic geometry

Abraham A Ungar · 2001

Earlier work this paper cites.

Hyperplane margin classifiers on the multinomial manifold

Guy Lebanon and John Lafferty · 2004

Earlier work this paper cites.

A geometric interpretation of ungar’s addition and of gyration in the hyperbolic plane

J Vermeer · 2005

Earlier work this paper cites.

Analytic hyperbolic geometry and Albert Einstein’s special theory of relativity

Ungar Abraham Albert · 2008

Earlier work this paper cites.

A gyrovector space approach to hyperbolic geometry

Abraham Albert Ungar · 2008

Earlier work this paper cites.

The Ricci flow in Riemannian geometry

Christopher Hopper and Ben Andrews · 2010

Cited alongside, same era.

Hyperbolic geometry of complex networks

Dmitri Krioukov, Fragkiskos Papadopoulos, Maksim Kitsak, Amin Vahdat, and Marián Boguná · 2010

Cited alongside, same era.

A three-way model for collective learning on multi-relational data

Maximilian Nickel, Volker Tresp, and Hans-Peter Kriegel · 2011

Cited alongside, same era.

Stochastic gradient descent on riemannian manifolds

S. Bonnabel · 2013

Cited alongside, same era.

Translating embeddings for modeling multi-relational data

Antoine Bordes, Nicolas Usunier, Alberto Garcia-Duran, Jason Weston, and Oksana Yakhnenko · 2013

Cited alongside, same era.

Convolutional neural networks for sentence classification

Yoon Kim · 2014

Cited alongside, same era.

Reasoning about entailment with neural attention

Tim Rocktäschel, Edward Grefenstette, Karl Moritz Hermann, Tomáš Kočiskỳ, and Phil Blunsom · 2015

Later among the works it cites.

Tensorflow: A system for large-scale machine learning

Martín Abadi, Paul Barham, Jianmin Chen, Zhifeng Chen, Andy Davis, Jeffrey Dean, Matthieu Devin, Sanjay Ghemawat, Geoffrey Irving, Michael Isard, et al · 2016

Later among the works it cites.

Order-embeddings of images and language

Ivan Vendrov, Ryan Kiros, Sanja Fidler, and Raquel Urtasun · 2016

Later among the works it cites.

Geometric deep learning: going beyond euclidean data

Michael M Bronstein, Joan Bruna, Yann LeCun, Arthur Szlam, and Pierre Vandergheynst · 2017

Later among the works it cites.

On the tree-likeness of hyperbolic spaces

Matthias Hamann · 2017

Later among the works it cites.

Poincaré embeddings for learning hierarchical representations

Maximillian Nickel and Douwe Kiela · 2017