Skip to main content

Generalized Multi-linear Mixed Effects Model

  • Conference paper
  • First Online:
Advances in Computer Science and Ubiquitous Computing (UCAWSN 2016, CUTE 2016, CSA 2016)

Abstract

Recently, many applications tend to find common and distinctive features from a group of datasets, of which distributions and structures are generally various. However, most existing methods can just cope with specific problems with fixed distributions and structures. In this paper, a more flexible framework for multi-block data learning is proposed. There are mainly two advantages compared with previous methods: (a) the proposed method can extract global common, local common, and distinctive features automatically; (b) various distributed datasets can be processed simultaneously as long as distributions are in exponential family. The results of numerical experiments demonstrate that the proposed method outperforms conventional methods for recommendation system problems.

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 EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Mitchell, T.M., et al.: Predicting human brain activity associated with the meanings of nouns. Science 320(5880), 1191–1195 (2008)

    Article  Google Scholar 

  2. Nickel, M.: Tensor factorization for relational learning. Diss. lmu (2013)

    Google Scholar 

  3. Chen, C.-Y., Grauman, K.: Inferring unseen views of people (2014)

    Google Scholar 

  4. Zhou, G., Cichocki, A., Xie, S.: Common and individual features analysis: beyond canonical correlation analysis, Arxiv preprint (2012)

    Google Scholar 

  5. Nelder, J.A., Baker, R.J.: Generalized linear models. Encyclopedia of Statistical Sciences (1972)

    Google Scholar 

  6. Collins, M., Dasgupta, S., Schapire, R.E.: A generalization of principal components analysis to the exponential family. In: Advances in Neural Information Processing Systems (2001)

    Google Scholar 

  7. Singh, A.P., Gordon, G.J.: Relational learning via collective matrix factorization. In: Proceedings of the 14th ACM SIGKDD International Conference on Knowledge Discovery and Data Mining. ACM (2008)

    Google Scholar 

  8. Bouchard, G., Yin, D., Guo, S.: Convex collective matrix factorization. In: Proceedings of the Sixteenth International Conference on Artificial Intelligence and Statistics (2013)

    Google Scholar 

  9. Lfstedt, T., Hoffman, D., Trygg, J.: Global, local and unique decompositions in OnPLS for multiblock data analysis. Anal. Chim. Acta 791, 13–24 (2013)

    Article  Google Scholar 

  10. Aroian, L.A.: The probability function of the product of two normally distributed variables. Ann. Math. Stat. 18, 265–271 (1947)

    Article  MathSciNet  MATH  Google Scholar 

  11. Zhao, Q., Zhang, L., Cichocki, A.: Bayesian CP factorization of incomplete tensors with automatic rank determination. IEEE Trans. Pattern Anal. Mach. Intell. 37(9), 1751–1763 (2015)

    Article  Google Scholar 

  12. Acar, E., Dunlavy, D.M., Kolda, T.G.: A scalable optimization approach for fitting canonical tensor decompositions. J. Chemometr. 25(2), 67–86 (2011)

    Article  Google Scholar 

  13. Rennie, J.D.M., Srebro, N.: Fast maximum margin matrix factorization for collaborative prediction. In: Proceedings of the 22nd International Conference on Machine Learning. ACM (2005)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer Nature Singapore Pte Ltd.

About this paper

Cite this paper

Li, C., Guo, L., Dou, Z., Si, G., Li, C. (2017). Generalized Multi-linear Mixed Effects Model. In: Park, J., Pan, Y., Yi, G., Loia, V. (eds) Advances in Computer Science and Ubiquitous Computing. UCAWSN CUTE CSA 2016 2016 2016. Lecture Notes in Electrical Engineering, vol 421. Springer, Singapore. https://doi.org/10.1007/978-981-10-3023-9_41

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-3023-9_41

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3022-2

  • Online ISBN: 978-981-10-3023-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics