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Word Embedding Based on Low-Rank Doubly Stochastic Matrix Decomposition

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Neural Information Processing (ICONIP 2018)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11303))

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Abstract

Word embedding, which encodes words into vectors, is an important starting point in natural language processing and commonly used in many text-based machine learning tasks. However, in most current word embedding approaches, the similarity in embedding space is not optimized in the learning. In this paper we propose a novel neighbor embedding method which directly learns an embedding simplex where the similarities between the mapped words are optimal in terms of minimal discrepancy to the input neighborhoods. Our method is built upon two-step random walks between words via topics and thus able to better reveal the topics among the words. Experiment results indicate that our method, compared with another existing word embedding approach, is more favorable for various queries.

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Notes

  1. 1.

    https://users.aalto.fi/~sedovd1/Matrix_decomp_WE/.

  2. 2.

    http://mattmahoney.net/dc/textdata.html.

  3. 3.

    https://github.com/tmikolov/word2vec.

References

  1. Anil, R., Pereyra, G., Passos, A., Ormandi, R., Dahl, G.E., Hinton, G.E.: Large scale distributed neural network training through online distillation. In: International Conference on Learning Representations (2018)

    Google Scholar 

  2. Dikmen, O., Yang, Z., Oja, E.: Learning the information divergence. IEEE Trans. Pattern Anal. Mach. Intell. 37(7), 1442–1454 (2015)

    Article  Google Scholar 

  3. Dingwall, N., Potts, C.: Mittens: an extension of glove for learning domain-specialized representations. In: NAACL-HLT, pp. 212–217 (2018)

    Google Scholar 

  4. Hunter, D., Lange, K.: A tutorial on MM algorithms. Am. Stat. 58(1), 30–37 (2004)

    Article  MathSciNet  Google Scholar 

  5. Ling, W., Dyer, C., Black, A., Trancoso, I.: Two/too simple adaptations of Word2Vec for syntax problems. In: NAACL-HLT, pp. 1299–1304 (2015)

    Google Scholar 

  6. Manning, C., Raghavan, P., Schütze, H.: Introduction to Information Retrieval. Cambridge University Press, New York (2008)

    Book  Google Scholar 

  7. Merity, S., Xiong, C., Bradbury, J., Socher, R.: Pointer sentinel mixture models. In: International Conference on Learning Representations (2017)

    Google Scholar 

  8. Mikolov, T., Sutskever, I., Chen, K., Corrado, G., Dean, J.: Distributed representations of words and phrases and their compositionality. In: Advances in Neural Information Processing Systems, pp. 3111–3119 (2013)

    Google Scholar 

  9. Pennington, J., Socher, R., Manning, C.: Glove: global vectors for word representation. In: Empirical Methods in Natural Language Processing, pp. 1532–1543 (2014)

    Google Scholar 

  10. Sinkkonen, J., Aukia, J., Kaski, S.: Component Models for Large Networks. CoRR abs/0803.1628 (2008)

    Google Scholar 

  11. Stamatatos, E., Kokkinakis, G., Fakotakis, N.: Automatic text categorization in terms of genre and author. Comput. Linguist. 26(4), 471–495 (2000)

    Article  Google Scholar 

  12. Stergiou, S., Straznickas, Z., Wu, R., Tsioutsiouliklis, K.: Distributed negative sampling for word embeddings. In: Proceedings of the Thirty-First AAAI Conference on Artificial Intelligence, pp. 2569–2575 (2017)

    Google Scholar 

  13. Turian, J., Ratinov, L., Bengio, Y.: Word representations: a simple and general method for semi-supervised learning. In: Proceedings of the 48th Annual Meeting of the Association for Computational Linguistics, pp. 384–394 (2010)

    Google Scholar 

  14. Yang, Z., Corander, J., Oja, E.: Low-rank doubly stochastic matrix decomposition for cluster analysis. J. Mach. Learn. Res. 17(187), 1–25 (2016)

    MathSciNet  MATH  Google Scholar 

  15. Yang, Z., Oja, E.: Unified development of multiplicative algorithms for linear and quadratic nonnegative matrix factorization. IEEE Trans. Neural Netw. 22(12), 1878–1891 (2011)

    Article  Google Scholar 

  16. Yang, Z., Peltonen, J., Kaski, S.: Majorization-minimization for manifold embedding. In: International Conference on Artificial Intelligence and Statistics, pp. 1088–1097 (2015)

    Google Scholar 

  17. Yang, Z., Zhu, Z., Oja, E.: Automatic rank determination in projective nonnegative matrix factorization. In: Vigneron, V., Zarzoso, V., Moreau, E., Gribonval, R., Vincent, E. (eds.) LVA/ICA 2010. LNCS, vol. 6365, pp. 514–521. Springer, Heidelberg (2010). https://doi.org/10.1007/978-3-642-15995-4_64

    Chapter  Google Scholar 

  18. Zhu, Z., Yang, Z., Oja, E.: Multiplicative updates for learning with stochastic matrices. In: Kämäräinen, J.-K., Koskela, M. (eds.) SCIA 2013. LNCS, vol. 7944, pp. 143–152. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-38886-6_14

    Chapter  Google Scholar 

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Acknowledgment

The work is supported by Finnish Academy (grant numbers 307929 and 314177) and the Telenor-NTNU AI Lab project.

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Correspondence to Denis Sedov .

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Sedov, D., Yang, Z. (2018). Word Embedding Based on Low-Rank Doubly Stochastic Matrix Decomposition. In: Cheng, L., Leung, A., Ozawa, S. (eds) Neural Information Processing. ICONIP 2018. Lecture Notes in Computer Science(), vol 11303. Springer, Cham. https://doi.org/10.1007/978-3-030-04182-3_9

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  • DOI: https://doi.org/10.1007/978-3-030-04182-3_9

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-04181-6

  • Online ISBN: 978-3-030-04182-3

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