Skip to main content

A Precise Hard-Cut EM Algorithm for Mixtures of Gaussian Processes

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 8589))

Abstract

The mixture of Gaussian processes (MGP) is a powerful framework for machine learning. However, its parameter learning or estimation is still a very challenging problem. In this paper, a precise hard-cut EM algorithm is proposed for learning the parameters of the MGP without any approximation in the derivation. It is demonstrated by the experimental results that our proposed hard-cut EM algorithm for MGP is feasible and even outperforms two available hard-cut EM algorithms.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Yuan, C., Neubauer, C.: Variational mixture of Gaussian process experts. In: Advances in Neural Information Processing Systems, vol. 21, pp. 1897–1904 (2009)

    Google Scholar 

  2. Tresp, V.: Mixtures of Gaussian processes. In: Advances in Neural Information Processing Systems, vol. 13, pp. 654–660 (2000)

    Google Scholar 

  3. Nguyen, T., Bonilla, E.: Fast Allocation of Gaussian Process Experts. In: Proceedings of The 31st International Conference on Machine Learning, pp. 145–153 (2014)

    Google Scholar 

  4. Stachniss, C., Plagemann, C., Lilienthal, A.J., et al.: Gas Distribution Modeling using Sparse Gaussian Process Mixture Models. In: Proc. of Robotics: Science and Systems, pp. 310–317 (2008)

    Google Scholar 

  5. Lázaro-Gredilla, M., Van Vaerenbergh, S., Lawrence, N.D.: Overlapping Mixtures of Gaussian Processes for the data association problem. Pattern Recognition 45, 1386–1395 (2012)

    Article  MATH  Google Scholar 

  6. Ross, J., Dy, J.: Nonparametric Mixture of Gaussian Processes with Constraints. In: Proceedings of the 30th International Conference on Machine Learning, pp. 1346–1354 (2013)

    Google Scholar 

  7. Yang, Y., Ma, J.: An efficient EM approach to parameter learning of the mixture of Gaussian processes. In: Liu, D., Zhang, H., Polycarpou, M., Alippi, C., He, H. (eds.) ISNN 2011, Part II. LNCS, vol. 6676, pp. 165–174. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  8. Meeds, E., Osindero, S.: An alternative infinite mixture of Gaussian process experts. In: Advances in Neural Information Processing Systems, vol. 18, pp. 883–890 (2006)

    Google Scholar 

  9. Sun, S.: Infinite mixtures of multivariate Gaussian processes. In: Proceedings of the International Conference on Machine Learning and Cybernetics, pp. 1–6 (2013)

    Google Scholar 

  10. Sun, S., Xu, X.: Variational inference for infinite mixtures of Gaussian processes with applications to traffic flow prediction. IEEE Trans. on Intelligent Transportation Systems 12(2), 466–475 (2011)

    Article  Google Scholar 

  11. Rasmussen, C.E., Williams, C.K.I.: Gaussian processes for machine learning. In: Adaptive Computation and Machine Learning. The MIT Press, Cambridge (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Chen, Z., Ma, J., Zhou, Y. (2014). A Precise Hard-Cut EM Algorithm for Mixtures of Gaussian Processes. In: Huang, DS., Jo, KH., Wang, L. (eds) Intelligent Computing Methodologies. ICIC 2014. Lecture Notes in Computer Science(), vol 8589. Springer, Cham. https://doi.org/10.1007/978-3-319-09339-0_7

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09339-0_7

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09338-3

  • Online ISBN: 978-3-319-09339-0

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics