Skip to main content

A Generative Multiset Kernel for Structured Data

  • Conference paper
Artificial Neural Networks and Machine Learning – ICANN 2012 (ICANN 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7552))

Included in the following conference series:

Abstract

The paper introduces a novel approach for defining efficient generative kernels for structured-data based on the concept of multisets and Jaccard similarity. The multiset feature-space allows to enhance the adaptive kernel with syntactic information on structure matching. The proposed approach is validated using an input-driven hidden Markov model for trees as generative model, but it is enough general to be straightforwardly applicable to any probabilistic latent variable model. The experimental evaluation shows that the proposed Jaccard kernel has a superior classification performance with respect to the Fisher Kernel, while consistently reducing the computational requirements.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Jaakkola, T., Haussler, D.: Exploiting generative models in discriminative classifiers. In: Advances in Neural Information Processing Systems, pp. 487–493 (1999)

    Google Scholar 

  2. Collins, M., Duffy, N.: New ranking algorithms for parsing and tagging: Kernels over discrete structures, and the voted perceptron. In: Proc. of the 40th Annual Meeting on Assoc. for Comput. Ling., pp. 263–270 (2002)

    Google Scholar 

  3. Bacciu, D., Micheli, A., Sperduti, A.: Input-output hidden markov models for trees. In: Verleysen, M. (ed.) Proc. of the 2012 Europ. Symp. on Artif. Neural Netw., Comput. Intell. and Machine Learning (ESANN), pp. 25–30 (2012)

    Google Scholar 

  4. Jaccard, P.: The distribution of the flora in the alpine zone. 1. New Phytologist 11(2), 37–50 (1912)

    Article  Google Scholar 

  5. Nicotra, L., Micheli, A., Starita, A.: Fisher kernel for tree structured data. In: Proc. of the 2004 Int. Joint Conf. on Neural Netw., vol. 3, pp. 1917–1922 (2004)

    Google Scholar 

  6. Nicotra, L., Micheli, A.: Generative Kernels for Gene Function Prediction Through Probabilistic Tree Models of Evolution. Artificial Intelligence in Medicine (45), 125–134 (2009)

    Google Scholar 

  7. Diligenti, M., Frasconi, P., Gori, M.: Hidden tree markov models for document image classification. IEEE Trans. Pattern Anal. Mach. Intell. 25(4), 519–523 (2003)

    Article  Google Scholar 

  8. Jebara, T., Kondor, R., Howard, A.: Probability product kernels. The Journal of Machine Learning Research 5, 819–844 (2004)

    MathSciNet  MATH  Google Scholar 

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

    Google Scholar 

  10. Chang, C.C., Lin, C.J.: LIBSVM: a library for support vector machines (2001), Software, http://www.csie.ntu.edu.tw/~cjlin/libsvm

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bacciu, D., Micheli, A., Sperduti, A. (2012). A Generative Multiset Kernel for Structured Data. In: Villa, A.E.P., Duch, W., Érdi, P., Masulli, F., Palm, G. (eds) Artificial Neural Networks and Machine Learning – ICANN 2012. ICANN 2012. Lecture Notes in Computer Science, vol 7552. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33269-2_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-33269-2_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33268-5

  • Online ISBN: 978-3-642-33269-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics