Skip to main content

Kernel Methods for Graphs: A Comprehensive Approach

  • Conference paper
Knowledge-Based Intelligent Information and Engineering Systems (KES 2008)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5178))

Abstract

The development of learning algorithms for structured data, i.e. data that cannot be represented by numerical vectors, is a relevant challenge in machine learning. Kernel Methods, which is a leading machine learning technology for vectorial data, recently tackled the structured data. In this paper we focus our attention on Kernel Methods that face up to data that can be represented by means of graphs, by providing an in-depth review through a comprehensive approach to the research hints and the main open problems in this area of research.

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 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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. Frasconi, P., Gori, M., Sperduti, A.: A general framework for adaptive processing of data sequences. IEEE transactions on Neural Networks 9(5), 768–786 (1997)

    Article  Google Scholar 

  2. Hagenbuchner, M., Sperduti, A., Tsoi, A.: A self-organizing map for adaptive processing of structured data. IEEE transactions on Neural Networks 14(23), 491–505 (2003)

    Article  Google Scholar 

  3. Shawe-Taylor, J., Cristianini, N.: Kernels Methods for Pattern Analysis. Cambridge University Press, Cambridge (2004)

    Google Scholar 

  4. Gärtner, T.: A survey of kernels for structured data. SIGKDD Explorations 5(1), 49–58 (2003)

    Article  Google Scholar 

  5. Berg, C., Christensen, J., Ressel, P.: Harmonic analysis on semigroups. Springer, New York (1984)

    MATH  Google Scholar 

  6. Gärtner, T., Flach, P., Wrobel, S.: On graph kernels: Hardness results and efficient alternatives. In: Proceedings of 16th Annual Conference on Computational Learning Theory and 7th Kernel Workshop, pp. 129–143. IEEE Press, Los Alamitos (2003)

    Google Scholar 

  7. Rasmussen, C., Williams, C.: Gaussian Processes for Machine Learning. MIT Press, Cambridge (2006)

    Google Scholar 

  8. Gärtner, T., Driessens, K., Ramon, J.: Graph kernels and gaussian processes for relational reinforcement learning. In: Horváth, T., Yamamoto, A. (eds.) ILP 2003. LNCS (LNAI), vol. 2835, pp. 146–163. Springer, Heidelberg (2003)

    Google Scholar 

  9. Gärtner, T., Lloyd, J., Flach, P.: Kernels for structured data. In: Matwin, S., Sammut, C. (eds.) ILP 2002. LNCS (LNAI), vol. 2583, pp. 66–83. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  10. Kashima, H., Tsuda, K., Inokuchi, A.: Marginalized kernels between labeled graphs. In: Proceedings of 10th International Conference on Machine Learning, pp. 321–328. IEEE Press, Los Alamitos (2003)

    Google Scholar 

  11. Tsuda, K., Kin, T., Asai, K.: Marginalized kernels for biological sequences. Bioinformatics 18, S268–S275 (2002)

    Google Scholar 

  12. Mahé, P., Ueda, N., Akutsu, T., Perret, J.L., Vert, J.P.: Extensions of marginalized graph kernels. In: Proceedings of 21st International Conference on Machine Learning (ICML 2004), pp. 552–559. IEEE Press, Los Alamitos (2004)

    Google Scholar 

  13. Horvath, T., Gärtner, T., Flach, P., Wrobel, S.: Cyclic pattern kernels for predictive graph mining. In: Proceedings of KDD 2004, pp. 158–167. ACM Press, New York (2004)

    Chapter  Google Scholar 

  14. Zaki, M.: Efficiently mining frequent trees in a forest. In: Proceedings of the Eighth ACM SIGKDD International Conference on Knowledge Discovery and Data Mining, pp. 71–80. ACM Press, New York (2002)

    Chapter  Google Scholar 

  15. Tarjan, R.: Depth-first search and linear graphs algorithms. SIAM Journal on Computing 1(2), 146–160 (1972)

    Article  MATH  MathSciNet  Google Scholar 

  16. Read, R., Tarjan, R.: Bounds on backtrack algorithms for listing cycles, paths and spanning trees. Networks 5(3), 237–252 (1975)

    MATH  MathSciNet  Google Scholar 

  17. Filippone, M., Camastra, F., Masulli, F., Rovetta, S.: A survey of kernel and spectral method for clustering. Pattern Recognition 41(1), 174–192 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Ignac Lovrek Robert J. Howlett Lakhmi C. Jain

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Camastra, F., Petrosino, A. (2008). Kernel Methods for Graphs: A Comprehensive Approach. In: Lovrek, I., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2008. Lecture Notes in Computer Science(), vol 5178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85565-1_82

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85565-1_82

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85564-4

  • Online ISBN: 978-3-540-85565-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics