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We propose a novel manifold based geometric approach for learning unsupervised alignment of word embeddings between the source and the target languages.
Earth mover’s distance minimization for unsupervised bilingual lexicon induction
Meng Zhang, Yang Liu, Huanbo Luan, and Maosong Sun. 2017b · 1945
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A generalized solution of the orthogonal Procrustes problem
Peter H Schönemann. 1966 · 1966
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Adversarial training for unsupervised bilingual lexicon induction
Meng Zhang, Yang Liu, Huanbo Luan, and Maosong Sun. 2017a · 1970
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Optimization techniques on Riemannian manifold
S. T. Smith. 1994 · 1994
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The geometry of algorithms with orthogonality constraints
Alan Edelman, Tomás A. Arias, and Steven T. Smith. 1998 · 1998
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A simple approach to learning unsupervised multilingual embeddings
Pratik Jawanpuria, Mayank Meghwanshi, and Bamdev Mishra. 2020 · 2004
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Hyperplane margin classifiers on the multinomial manifold
Guy Lebanon and John Lafferty. 2004 · 2004
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Integrating structured biological data by kernel maximum mean discrepancy
Karsten M Borgwardt, Arthur Gretton, Malte J Rasch, Hans-Peter Kriegel, Bernhard Schölkopf, and Alex J Smola. 2006 · 2006
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Analysis of representations for domain adaptation
Shai Ben-David, John Blitzer, Koby Crammer, and Fernando Pereira. 2007 · 2007
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Frustratingly easy domain adaptation
Hal Daumé III. 2007 · 2007
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Statistical consistency of kernel canonical correlation analysis
Kenji Fukumizu, Francis R Bach, and Arthur Gretton. 2007 · 2007
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Optimization Algorithms on Matrix Manifolds
Pierre-Antoine Absil, Robert Mahony, and Rodolphe Sepulchre. 2008 · 2008
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Optimal Transport: Old and New
Cédric Villani. 2009 · 2009
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Domain adaptation for object recognition: An unsupervised approach
R. Gopalan, Ruonan Li, and R. Chellappa. 2011 · 2011
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Gromov–Wasserstein distances and the metric approach to object matching
Facundo Mémoli. 2011 · 2011
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Cross-lingual adaptation using structural correspondence learning
Peter Prettenhofer and Benno Stein. 2011 · 2011
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Bi-weighting domain adaptation for cross-language text classification
Chang Wan, Rong Pan, and Jiefei Li. 2011 · 2011
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Inducing crosslingual distributed representations of words
Alexandre Klementiev, Ivan Titov, and Binod Bhattarai. 2012 · 2012
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Unsupervised domain adaptation by domain invariant projection
Mahsa Baktashmotlagh, Mehrtash T Harandi, Brian C Lovell, and Mathieu Salzmann. 2013 · 2013
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Sinkhorn distances: Lightspeed computation of optimal transport
Marco Cuturi. 2013 · 2013
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Exploiting similarities among languages for machine translation
Tomas Mikolov, Quoc V Le, and Ilya Sutskever. 2013 · 2013
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Manopt, a Matlab toolbox for optimization on manifolds
Nicolas Boumal, Bamdev Mishra, Pierre-Antoine Absil, and Rodolphe Sepulchre. 2014 · 2014
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Improving vector space word representations using multilingual correlation
Gromov-wasserstein alignment of word embedding spaces
David Alvarez-Melis and Tommi S. Jaakkola. 2018 · 2018
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Unsupervised statistical machine translation
Mikel Artetxe, Gorka Labaka, and Eneko Agirre. 2018c · 2018
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Word translation without parallel data
Alexis Conneau, Guillaume Lample, Marc’Aurelio Ranzato, Ludovic Denoyer, and Hervé Jégou. 2018 · 2018
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Non-adversarial unsupervised word translation
Yedid Hoshen and Lior Wolf. 2018 · 2018
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Loss in translation: Learning bilingual word mapping with a retrieval criterion
Armand Joulin, Piotr Bojanowski, Tomas Mikolov, Edouard Grave, and Hervé Jégou. 2018 · 2018
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A unified framework for domain adaptation using metric learning on manifolds
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Manaal Faruqui and Chris Dyer. 2014 · 2014
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Heterogeneous tensor decomposition for clustering via manifold optimization
Yanfeng Sun, Junbin Gao, Xia Hong, Bamdev Mishra, and Baocai Yin. 2015 · 2015
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Monolingual and cross-lingual information retrieval models based on (bilingual) word embeddings
Ivan Vulić and Marie-Francine Moens. 2015 · 2015
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Stochastic optimization for deep cca via nonlinear orthogonal iterations
Weiran Wang, Raman Arora, Karen Livescu, and Nathan Srebro. 2015 · 2015
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Learning principled bilingual mappings of word embeddings while preserving monolingual invariance
Mikel Artetxe, Gorka Labaka, and Eneko Agirre. 2016 · 2016
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Roptlib: an object-oriented C++ library for optimization on Riemannian manifolds
Wen Huang, Pierre-Antoine Absil, Kyle A. Gallivan, and Paul Hand. 2016 · 2016
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Gromov-Wasserstein averaging of kernel and distance matrices
Gabriel Peyré, Marco Cuturi, and Justin Solomon. 2016 · 2016
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Sridhar Mahadevan, Bamdev Mishra, and Shalini Ghosh. 2018 · 2018
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Mctorch, a manifold optimization library for deep learning
Mayank Meghwanshi, Pratik Jawanpuria, Anoop Kunchukuttan, Hiroyuki Kasai, and Bamdev Mishra. 2018 · 2018
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Unsupervised cross-lingual transfer of word embedding spaces
Ruochen Xu, Yiming Yang, Naoki Otani, and Yuexin Wu. 2018 · 2018
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Unsupervised hyperalignment for multilingual word embeddings
Jean Alaux, Edouard Grave, Marco Cuturi, and Armand Joulin. 2019 · 2019
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Optimisation on Manifolds in Julia
Ronny Bergmann. 2019 · 2019
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Manifold optimization over the set of doubly stochastic matrices: A second-order geometry
Ahmed Douik and Babak Hassibi. 2019 · 2019
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Unsupervised alignment of embeddings with Wasserstein Procrustes
Edouard Grave, Armand Joulin, and Quentin Berthet. 2019 · 2019
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Learning multilingual word embeddings in latent metric space: A geometric approach
Pratik Jawanpuria, Arjun Balgovind, Anoop Kunchukuttan, and Bamdev Mishra. 2019 · 2019
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Computational optimal transport
Gabriel Peyré and Marco Cuturi. 2019 · 2019
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Neural transfer learning for natural language processing
Sebastian Ruder. 2019 · 2019
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Density matching for bilingual word embedding
Chunting Zhou, Xuezhe Ma, Di Wang, and Graham Neubig. 2019 · 2019
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