Recent publications:
(Word embeddings for link prediction, impressive results in low dimension)
 Hyperbolic entailment cones for learning hierarchical embeddings, ICML’18, paper, slides 1, slides 2, code, poster
(improving on empirical results of Poincaré embeddings by theoretically grounding entailment)
(hyperbolic MDS, bounds for dimensionalityprecision tradeoff, combinatorial embedding method)
 Learning continuous hierarchies in the Lorentz model of hyperbolic geometry, ICML’18, paper
(learning to embed hypernymy from similarity data, advantages of the Lorentz model over the Poincaré model)
 Embedding text in hyperbolic spaces, ACL’18 (workshop), paper
(adaption in hyperbolic spaces of word2vec, skipthought, …)
(matrix multiplication, bias translation, pointwise nonlinearities, softmax, RNN, GRU)
Preprints:
 Neural embeddings of graphs in hyperbolic space, paper
(Embedding graphs using negative sampling, computing similarity measure involving hyperbolic distance to 0)
 Hyperbolic attention networks, paper
(attention mechanism, transformer, relation networks, message passing networks, …)
(SVM in hyperbolic space)
(adaptation of word2vec to the hyperboloid model)
 Hyperbolic recommender systems, paper
(Obtains stateoftheart results with a simple method embedding users and item in the Poincaré ball)
A few other applications of hyperbolic geometry:
Complex networks:


 2007: Geographic routing using hyperbolic space, paper
 2008: Efficient navigation in scalefree networks embedded in hyperbolic metric spaces, paper
 2010: Resilient routing for sensor networks using hyperbolic embedding of universal covering space, paper
 2010: Hyperbolic geometry of complex networks, paper
 2010: Sustaining the Internet with hyperbolic mapping, Nature, paper
 2016: An experimental investigation of hyperbolic routing with a smart forwarding plane in NDN, paper
 11/17: Machine learning meets complex networks via coalescent embedding in the hyperbolic space, Nature, paper
 12/17: An improved hyperbolic embedding algorithm, paper

Bioinformatics:
Visualization:
Theory of hyperbolic geometry:
Other blog posts
Hyperbolic Embeddings with a Hopefully Right Amount of Hyperbole
Implementing Poincaré Embeddings
Poincaré Embeddings for Representing Hierarchical Data
Free online software
Play with 2D hyperbolic spaces
Make hyperbolic tiling of images