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Extending Tree Kernels with Topological Information

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6791))

Abstract

The definition of appropriate kernel functions is crucial for the performance of a kernel method. In many of the state-of-the-art kernels for trees, matching substructures are considered independently from their position within the trees. However, when a match happens in similar positions, more strength could reasonably be given to it. Here, we give a systematic way to enrich a large class of tree kernels with this kind of information without affecting, in almost all cases, the worst case computational complexity. Experimental results show the effectiveness of the proposed approach.

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References

  1. Aiolli, F., Da San Martino, G., Sperduti, A.: Route kernels for trees. In: International Conference on Machine Learning, pp. 17–24 (2009)

    Google Scholar 

  2. Collins, M., Duffy, N.: New ranking algorithms for parsing and tagging: Kernels over discrete structures, and the voted perceptron. In: Proceedings of the Fortieth Annual Meeting on Association for Computational Linguistics, Philadelphia, PA, USA, pp. 263–270 (2002)

    Google Scholar 

  3. Denoyer, L., Gallinari, P.: Report on the XML mining track at INEX 2005 and INEX 2006: categorization and clustering of XML documents. ACM SIGIR Forum 41(1), 79–90 (2007)

    Article  Google Scholar 

  4. Haussler, D.: Convolution kernels on discrete structures. Tech. Rep. UCSC-CRL-99-10, University of California, Santa Cruz (July 1999)

    Google Scholar 

  5. Joachims, T.: Making large-scale support vector machine learning practical, pp. 169–184. MIT Press, Cambridge (1999)

    Google Scholar 

  6. Kingsbury, P., Palmer, M.: From Treebank to PropBank. In: Proceedings of the 3rd International Conference on Language Resources and Evaluation, Las Palmas, Spain, pp. 1989–1993 (2002)

    Google Scholar 

  7. Moschitti, A.: Efficient convolution kernels for dependency and constituent syntactic trees. In: Proceedings of the European Conference on Machine Learning, pp. 318–329 (2006)

    Google Scholar 

  8. Moschitti, A.: Making tree kernels practical for natural language learning. In: Proceedings of EACL 2006, Trento, Italy (2006)

    Google Scholar 

  9. Trentini, F., Hagenbuchner, M., Sperduti, A., Scarselli, F., Tsoi, A.: A self-organising map approach for clustering of xml documents. In: Proceedings of the WCCI. IEEE Press, Vancouver (2006)

    Google Scholar 

  10. Vishwanathan, S., Smola, A.J.: Fast kernels on strings and trees. In: Proceedings of Neural Information Processing Systems 2002, pp. 569–576 (2002)

    Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Aiolli, F., Da San Martino, G., Sperduti, A. (2011). Extending Tree Kernels with Topological Information. In: Honkela, T., Duch, W., Girolami, M., Kaski, S. (eds) Artificial Neural Networks and Machine Learning – ICANN 2011. ICANN 2011. Lecture Notes in Computer Science, vol 6791. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21735-7_18

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  • DOI: https://doi.org/10.1007/978-3-642-21735-7_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21734-0

  • Online ISBN: 978-3-642-21735-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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