Skip to main content

Best Harmony Learning

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1983))

Abstract

Bayesian Ying-Yang (BYY) learning is proposed as a unified statistical learning framework firstly in (Xu, 1995) and systematically developed in past years. Its consists of a general BYY system and a fundamental harmony learning principle as a unified guide for developing new parameter learning algorithms, new regularization techniques, new model selection criteria, as well as a new learning approach that implements parameter learning with model selection made automatically during learning (Xu, 1999a&b; 2000a&b). This paper goes further beyond the scope of BYY learning, and provides new results and new understandings on harmony learning from perspectives of conventional parametric models, BYY systems and some general properties of information geometry.

The work described in this paper was fully supported by a grant from the Research Grant Council of the Hong Kong SAR (project No: CUHK4383/99E).

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   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
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. Amari, S.-I., Cichocki, A., and Yang, H. (1996), “A new learning algorithm for blind separation of sources”, in D. S. Touretzky, et al, eds, Advances in Neural Information Processing 8, MIT Press: Cambridge, MA, 757–763, 1996.

    Google Scholar 

  2. Barlow, H.B. (1989), “Unsupervised learning”, Neural Computation, 1, 295–311, 1989.

    Article  Google Scholar 

  3. Dayan, P., & Zemel, R.S., (1995) “Competition and multiple cause models”, Neural Computation 7, pp565–579, 1995.

    Article  Google Scholar 

  4. Dayan, P. & Hinton, G., E., (1996), “Varieties of Helmholtz machine”, Neural Networks 9, No.8, 1385–1403.

    Article  MATH  Google Scholar 

  5. Hinton, G. E., Dayan, P., Frey, B. and Neal, R.M.(1995), “The wake-sleep algorithm for unsupervised learning neural networks”, Science 268, 1158–1160, 1995.

    Article  Google Scholar 

  6. Jacobs, R.A., Jordan, M.I., Nowlan, S., and Hinton, G., E. (1991), “Adaptive mixtures of local experts”, Neural Computation, 3, 79–87, 1991.

    Article  Google Scholar 

  7. Jordan, M.I., and Jacobs, R.A. (1994), “Hierarchical mixtures of experts and the EM algorithm”, Neural Computation 6, 181–214, 1994.

    Article  Google Scholar 

  8. Xu, L. (2000a), “BYYΣ-Π Factor Systems and Harmony Learning: Recent Advances”, Proc. 7th International Conference on Neural Information Processing (ICONIP-2000), Nov. 14–18, Taejon, KOREA.

    Google Scholar 

  9. Xu, L.(2000b), “Temporal BYY Learning for State Space Approach, Hidden Markov Model and Blind Source Separation”, IEEE Trans on Signal Processing, Vol. 48, No.7, pp 2132–2144, 2000.

    Google Scholar 

  10. Xu, L. (1999a), “Bayesian Ying-Yang Unsupervised and Supervised Learning: Theory and Applications”, Proc. 1999 Chinese Conf. on Neural Networks and Signal Processing, 12–29, Shantou, China, Nov., 1999.

    Google Scholar 

  11. Xu, L., (1999b), “BYY Data Smoothing Based Learning on A Small Size of Sam-ples”, and “Bayesian Ying-Yang Theory for Empirical Learning, Regularization and Model Selection: General Formulation”, Proc. 1999 Intl. Joint Conf. on Neural Networks, Vol.1 of 6, pp 546–551 and pp 552–557, USA, July 10–16,1999.

    Google Scholar 

  12. Xu, L.(1999c), “Bayesian Ying-Yang Supervised Learning, Modular Models, and Three Layer Nets”, Proc. 1999 Intl. Joint Conf. on Neural Networks, Vol.1 of 6, pp 540–545, USA, July 10–16, 1999.

    Google Scholar 

  13. Xu, L., (1998a), “RBF Nets, Mixture Experts, and Bayesian Ying-Yang Learning”, Neurocomputing, Vol. 19, No.1-3, 223–257, 1998.

    Article  MATH  Google Scholar 

  14. Xu, L., (1998b), “Bayesian Kullback Ying-Yang Dependence Reduction Theory”, Neurocomputing, Vol. 22, No.1-3, 81–112, 1998.

    Article  MATH  Google Scholar 

  15. Xu, L.(1997), “Bayesian Ying-Yang Machine, Clustering and Number of Clusters”, Pattern Recognition Letters, Vol.18, No.11-13, 1167–1178, 1997.

    Google Scholar 

  16. Xu, L., (1995) “A Unified Learning Scheme: Bayesian-Kullback YING-YANG Machine”, Advances in Neural Information Processing Systems 8, eds., D. S. Touretzky, et al, MIT Press, 444–450, 1996. A part of its preliminary version on Proc. ICONIP95, Peking, Oct 30-Nov. 3, 977–988, 1995.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Xu, L. (2000). Best Harmony Learning. In: Leung, K.S., Chan, LW., Meng, H. (eds) Intelligent Data Engineering and Automated Learning — IDEAL 2000. Data Mining, Financial Engineering, and Intelligent Agents. IDEAL 2000. Lecture Notes in Computer Science, vol 1983. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44491-2_18

Download citation

  • DOI: https://doi.org/10.1007/3-540-44491-2_18

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41450-6

  • Online ISBN: 978-3-540-44491-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics