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Experiments in Learning to Solve Formal Analogical Equations

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Case-Based Reasoning Research and Development (ICCBR 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11156))

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Abstract

Analogical learning is a lazy learning mechanism which maps input forms (e.g. strings) to output ones, thanks to analogies identified in a training material. It has proven effective in a number of Natural Language Processing (NLP) tasks such as machine translation. One challenge with this approach is the solving of so-called analogical equations. In this paper, we investigate how structured learning can be used for learning to solve formal analogical equations. We evaluate our learning procedure on several test sets and show that we can improve upon fair baselines.

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Notes

  1. 1.

    Over 3 million vectors of dimension 300 for words seen at least 5 times; trained with the skip-gram model on the large Google news corpus.

  2. 2.

    The first valid index is 0.

  3. 3.

    The definition immediately follows from Theorem 1.

  4. 4.

    http://www.marekrei.com/blog/linguistic-regularities-word-representations/.

  5. 5.

    http://statmt.org.

  6. 6.

    The degree of an analogy roughly correlates with the number of commutations among strings involved; the higher the degree, the harder it is to solve the analogy.

References

  1. Bayoudh, S., Mouchère, H., Miclet, L., Anquetil, E.: Learning a classifier with very few examples: analogy based and knowledge based generation of new examples for character recognition. In: Kok, J.N., Koronacki, J., Mantaras, R.L., Matwin, S., Mladenič, D., Skowron, A. (eds.) ECML 2007. LNCS (LNAI), vol. 4701, pp. 527–534. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-74958-5_49

    Chapter  Google Scholar 

  2. Ben Hassena, A.: Apprentissage analogique par analogie de structures d’arbres. Ph.D. thesis, Univ. de Rennes I, France (2011)

    Google Scholar 

  3. Collins, M.: Discriminative training methods for hidden markov models: theory and experiments with perceptron algorithms. In: EMNLP, pp. 1–8 (2002)

    Google Scholar 

  4. Collins, M., Roark, B.: Incremental parsing with the perceptron algorithm. In: 42nd ACL (2004)

    Google Scholar 

  5. Dandapat, S., Morrissey, S., Naskar, S.K., Somers, H.: Mitigating problems in analogy-based EBMT with SMT and vice versa: a case study with named entity transliteration. In: PACLIC, Sendai, Japan (2010)

    Google Scholar 

  6. Huang, L., Fayong, S., Guo, Y.: Structured perceptron with inexact search. In: NAACL, pp. 142–151 (2012)

    Google Scholar 

  7. Kaveeta, V., Lepage, Y.: Solving analogical equations between strings of symbols using neural networks. In: Workshop on Computational Analogy at ICCBR 2016, pp. 67–76 (2016)

    Google Scholar 

  8. Koehn, P., et al.: Moses: open source toolkit for statistical machine translation. In: 45th ACL, pp. 177–180 (2007). Interactive Poster and Demonstration Sessions

    Google Scholar 

  9. Langlais, P.: Mapping source to target strings without alignment by analogical learning: a case study with transliteration. In: 51st ACL, pp. 684–689 (2013)

    Google Scholar 

  10. Langlais, P., Patry, A.: Translating unknown words by analogical learning. In: EMNLP, Prague, Czech Republic, pp. 877–886 (2007)

    Google Scholar 

  11. Langlais, P., Yvon, F., Zweigenbaum, P.: Improvements in analogical learning: application to translating multi-terms of the medical domain. In: 12th EACL, Athens, pp. 487–495 (2009)

    Google Scholar 

  12. Lepage, Y.: Solving analogies on words: an algorithm. In: COLING-ACL, Montreal, Canada, pp. 728–733 (1998)

    Google Scholar 

  13. Lepage, Y., Denoual, E.: Purest ever example-based machine translation: detailed presentation and assesment. Mach. Trans. 19, 25–252 (2005)

    Google Scholar 

  14. Lepage, Y., Shin-ichi, A.: Saussurian analogy: a theoretical account and its application. In: 7th COLING, pp. 717–722 (1996)

    Google Scholar 

  15. Letard, V., Illouz, G., Rosset, S.: Reducing noise sensitivity of formal analogical reasoning applied to language transfer. In: Workshop on Computational Analogy at ICCBR 2016, pp. 87–97 (2016)

    Google Scholar 

  16. Levy, O., Goldberg, Y., Dagan, I.: Improving distributional similarity with lessons learned from word embeddings. Trans. Assoc. Comput. Linguist. 3, 211–225 (2015)

    Google Scholar 

  17. Mikolov, T., Chen, K., Corrado, G., Dean, J.: Efficient estimation of word representations in vector space. CoRR abs/1301.3781 (2013)

    Google Scholar 

  18. Mikolov, T., Sutskever, I., Chen, K., Corrado, G., Dean, J.: Distributed representations of words and phrases and their compositionality. In: 26th NIPS, pp. 3111–3119 (2013)

    Google Scholar 

  19. Stroppa, N., Yvon, F.: An analogical learner for morphological analysis. In: 9th CONLL, Ann Arbor, USA, pp. 120–127 (2005)

    Google Scholar 

  20. Yang, W., Lepage, Y.: Inflating a small parallel corpus into a large quasi-parallel corpus using monolingual data for Chinese-Japanese machine translation. J. Inf. Process. (Information Processing Society of Japan) (2017)

    Google Scholar 

  21. Yvon, F.: Paradigmatic cascades: a linguistically sound model of pronunciation by analogy. In: 35th ACL, pp. 429–435 (1997)

    Google Scholar 

  22. Yvon, F., Stroppa, N., Delhay, A., Miclet, L.: Solving analogies on words. Technical report. D005, École Nationale Supérieure des Télécommuncations, Paris, France (2004)

    Google Scholar 

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Acknowledgments

This work has been partly funded by the Natural Sciences and Engineering Research Council of Canada. We thank reviewers for their constructive comments.

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Correspondence to Philippe Langlais .

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Rhouma, R., Langlais, P. (2018). Experiments in Learning to Solve Formal Analogical Equations. In: Cox, M., Funk, P., Begum, S. (eds) Case-Based Reasoning Research and Development. ICCBR 2018. Lecture Notes in Computer Science(), vol 11156. Springer, Cham. https://doi.org/10.1007/978-3-030-01081-2_40

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  • DOI: https://doi.org/10.1007/978-3-030-01081-2_40

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