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This paper focuses on the problem of unsupervised alignment of hierarchical data such as ontologies or lexical databases.
“On the Translocation of Masses”
L. Kantorovitch · 1942
Earlier work this paper cites.
“Earth Mover’s Distance Minimization for Unsupervised Bilingual Lexicon Induction”
Meng Zhang, Yang Liu, Huanbo Luan and Maosong Sun · 1945
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“Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration”
Jason Altschuler, Jonathan Weed and Philippe Rigollet · 1971
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“Décomposition polaire et réarrangement monotone des champs de vecteurs”
Yann Brenier · 1987
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“Hyperbolic groups”
Mikhael Gromov · 1987
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“Polar factorization and monotone rearrangement of vector-valued functions”
Yann Brenier · 1991
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“A Method for Registration of 3-D Shapes”
Paul. Besl and Neil. McKay · 1992
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“Boundary regularity of maps with convex potentials”
Luis. Caffarelli · 1992
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“The regularity of mappings with a convex potential”
Luis Caffarelli · 1992
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“Object modelling by registration of multiple range images”
Yang Chen and Gérard Medioni · 1992
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“The Invisible Hand Algorithm: Solving the Assignment Problem with Statistical Physics”
J.. Kosowsky and A.. Yuille · 1994
Earlier work this paper cites.
“WordNet: a lexical database for English”
George. Miller · 1995
Earlier work this paper cites.
“The Softassign Procrustes Matching Algorithm”
Anand Rangarajan, Haili Chui and Fred Bookstein · 1997
Earlier work this paper cites.
“The Earth Mover’s Distance under transformation sets”
Scott Cohen and Leonidas Guibas · 1999
Earlier work this paper cites.
“Automatic WordNet mapping using word sense disambiguation”
Changki Lee, Geunbae Leer and Seo JungYun · 2000
Earlier work this paper cites.
“Earth mover’s distance as a metric for image retrieval”
Yossi Rubner, Carlo Tomasi and Leonidas. Guibas · 2000
Earlier work this paper cites.
“Polar factorization of maps on Riemannian manifolds”
Robert. McCann · 2001
Earlier work this paper cites.
“Logic form transformation of wordnet and its applicability to question answering”
Dan Moldovan and Vasile Rus · 2001
Earlier work this paper cites.
“Efficient variants of the ICP algorithm.”
Szymon Rusinkiewicz and Marc Levoy · 2001
Earlier work this paper cites.
“Procrustes problems”
John Gower and Garmt Dijksterhuis · 2004
Earlier work this paper cites.
“Regularity of potential functions of the optimal transportation problem”
Xi Ma, Neil. Trudinger and Xu Wang · 2005
Earlier work this paper cites.
“Putting pieces together: Combining FrameNet, VerbNet and WordNet for robust semantic parsing”
Lei Shi and Rada Mihalcea · 2005
Earlier work this paper cites.
“Optimal transport: old and new”
Cédric Villani · 2008
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“Smooth Optimal Transport on Hyperbolic Space”, 2009
Jiayong Li · 2009
Cited alongside, same era.
“On the regularity of solutions of optimal transportation problems”
Grégoire Loeper · 2009
Cited alongside, same era.
“Introduction to Optimal Transport Theory”
Filippo Santambrogio · 2010
Cited alongside, same era.
“Automatic construction of wordnets by using machine translation and language modeling”
Martin Saveski and Igor Trajkovski · 2010
Cited alongside, same era.
“Gromov–Wasserstein distances and the metric approach to object matching”
Facundo M\’emoli · 2011
Cited alongside, same era.
“Poincaré embeddings for learning hierarchical representations”
Maximillian Nickel and Douwe Kiela · 2017
Later among the works it cites.
“Results of the Ontology Alignment Evaluation Initiative 2018”, 2018
Alsayed Algergawy et al · 2018
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“Gromov-Wasserstein Alignment of Word Embedding Spaces”
David Alvarez-Melis and Tommi Jaakkola · 2018
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“A robust self-learning method for fully unsupervised cross-lingual mappings of word embeddings”
Mikel Artetxe, Gorka Labaka and Eneko Agirre · 2018
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“Word Translation Without Parallel Data”
Alexis Conneau, Guillaume Lample, Marc’Aurelio Ranzato, Ludovic Denoyer and Hervé J\’egou · 2018
Later among the works it cites.
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“Ontology matching: State of the art and future challenges”
Pavel Shvaiko and Jérôme Euzenat · 2011
Cited alongside, same era.
“A machine learning approach to multilingual and cross-lingual ontology matching”
Dennis Spohr, Laura Hollink and Philipp Cimiano · 2011
Cited alongside, same era.
“Joint learning of words and meaning representations for open-text semantic parsing”
Antoine Bordes, Xavier Glorot, Jason Weston and Yoshua Bengio · 2012
Cited alongside, same era.
“New Examples Satisfying Ma-Trudinger-Wang Conditions”
P Lee and J Li · 2012
Cited alongside, same era.
“A User’s Guide to Optimal Transport”
Luigi Ambrosio and Nicola Gigli · 2013
Cited alongside, same era.
“Sinkhorn distances: Lightspeed computation of optimal transport”
Marco Cuturi · 2013
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Christopher De, Albert Gu, Christopher R\’e and Frederic Sala · 2018
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“Hyperbolic neural networks”
Octavian Ganea, Gary B\’ecigneul and Thomas Hofmann · 2018
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“Hyperbolic Entailment Cones for Learning Hierarchical Embeddings”
Octavian-Eugen Ganea, Gary B\’ecigneul and Thomas Hofmann · 2018
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“Learning Generative Models with Sinkhorn Divergences”
Aude Genevay, Gabriel Peyre and Marco Cuturi · 2018
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“Learning Continuous Hierarchies in the Lorentz Model of Hyperbolic Geometry”
Maximilian Nickel and Douwe Kiela · 2018
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“Computational Optimal Transport”, 2018
Gabriel Peyr\’e and Marco Cuturi · 2018
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“Representation Tradeoffs for Hyperbolic Embeddings”
Frederic Sala, Chris De, Albert Gu and Christopher Re · 2018
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“Improving GANs using optimal transport”
Tim Salimans, Han Zhang, Alec Radford and Dimitris Metaxas · 2018
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“Hyperbolic representation learning for fast and efficient neural question answering”
Yi Tay, Luu Tuan and Siu Hui · 2018
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Titouan Vayer, Laetita Chapel, Rémi Flamary, Romain Tavenard and Nicolas Courty · 2018
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“Gradient descent in hyperbolic space”
Benjamin Wilson and Matthias Leimeister · 2018
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“Towards Optimal Transport with Global Invariances”
David Alvarez-Melis, Stefanie Jegelka and Tommi Jaakkola · 2019
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“Riemannian Adaptive Optimization Methods”
Gary B\’ecigneul and Octavian-Eugen Ganea · 2019
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“Learning Generative Models Across Incomparable Spaces”
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“Interpolating between Optimal Transport and MMD using Sinkhorn Divergences”
Jean Feydy, Thibault S\’ejourn\’e, François-Xavier Vialard, Shun-ichi Amari, Alain Trouve and Gabriel Peyr\’e · 2019
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“Sample complexity of Sinkhorn divergences”
Aude Genevay, Lénaic Chizat, Francis Bach, Marco Cuturi and Gabriel Peyr\’e · 2019
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“Unsupervised Alignment of Embeddings with Wasserstein Procrustes”
E Grave, A Joulin and Q Berthet · 2019
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