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Recent work has demonstrated that embeddings of tree-like graphs in hyperbolic space surpass their Euclidean counterparts in performance by a large margin.
Indexing by latent semantic analysis
Scott Deerwester, Susan T. Dumais, George W. Furnas, Thomas K. Landauer, and Richard Harshman · 1990
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Hyperbolic geometry on a hyperboloid
William F. Reynolds · 1993
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Wordnet: A lexical database for english
George A. Miller · 1995
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Placing search in context: The concept revisited
Lev Finkelstein, Evgeniy Gabrilovich, Yossi Matias, Ehud Rivlin, Zach Solan, Gadi Wolfman, and Eytan Ruppin · 2001
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Classes for fast maximum entropy training
Joshua Goodman · 2001
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Language as a small world network
Mária Markosová and Peter Nather · 2001
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A neural probabilistic language model
Yoshua Bengio, Réjean Ducharme, Pascal Vincent, and Christian Janvin · 2003
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Latent dirichlet allocation
David M. Blei, Andrew Y. Ng, and Michael I. Jordan · 2003
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Riemannian Geometry
Peter Petersen · 2006
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Optimization Algorithms on Matrix Manifolds
P.-A. Absil, R. Mahony, and R. Sepulchre · 2008
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A scalable hierarchical distributed language model
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Hyperbolic geometry of complex networks
Dmitri Krioukov, Fragkiskos Papadopoulos, Maksim Kitsak, Amin Vahdat, and Marián Boguñá · 2010
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Stochastic gradient descent on Riemannian manifolds
Silvère Bonnabel · 2011
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HOGWILD!: A Lock-Free Approach to Parallelizing Stochastic Gradient Descent
Feng Niu, Benjamin Recht, Christopher Re, and Stephen J. Wright · 2011
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Efficient Estimation of Word Representations in Vector Space
Tomas Mikolov, Kai Chen, Greg Corrado, and Jeffrey Dean · 2013
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Neural Embeddings of Graphs in Hyperbolic Space
Benjamin P. Chamberlain, James Clough, and Marc P. Deisenroth · 2017
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Poincaré embeddings for learning hierarchical representations
Maximillian Nickel and Douwe Kiela · 2017
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Introduction to differential geometry
J. W. Robbin and D. A. Salamon · 2017
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Large-Margin Classification in Hyperbolic Space
H. Cho, B. DeMeo, J. Peng, and B. Berger · 2018
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Embedding text in hyperbolic spaces
Bhuwan Dhingra, Christopher Shallue, Mohammad Norouzi, Andrew Dai, and George Dahl · 2018
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Octavian-Eugen Ganea, Gary Bécigneul, and Thomas Hofmann · 2018
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Learning continuous hierarchies in the lorentz model of hyperbolic geometry
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Representation tradeoffs for hyperbolic embeddings
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Gradient descent in hyperbolic space
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