Skip to main content

Temporal Gene Expression Profiles Reconstruction by Support Vector Regression and Framelet Kernel

  • Conference paper
Advances in Neural Networks - ISNN 2010 (ISNN 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6064))

Included in the following conference series:

  • 1713 Accesses

Abstract

Gene time series microarray experiments have been widely used to unravel the genetic machinery of biological process. However, most temporal gene expression data often contain noise, missing data points, and non-uniformly sampled time points, which will make the traditional analyzing methods to be unapplicable. One main approach to solve this problem is to reconstruct each gene expression profile as a continuous function of time. Then the continuous representation enables us to overcome problems related to sampling rate differences and missing values. In this paper, we introduce a novel reconstruction approach based on the support vector regression method. The proposed approach utilizes a framelet based kernel, which has the ability to approximate functions with multiscale structure and can reduce the influence of noise in data. To compensate the inadequate information from noisy and short gene expression data, we use its correlated genes as the test set to choose the optimal parameters. We show that this treatment can help to avoid over-fitting. Experimental results demonstrate that our method can improve the reconstruction accuracy.

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 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bar-Joseph, Z.: Analyzing time series gene expression data. Bioinformatics 20, 2493–2503 (2004)

    Article  Google Scholar 

  2. Wang, X., Wu, M., Li, Z., Chan, C.: Short time-series microarray analysis: methods and challenges. BMC Syst. Biol. 2 (2008)

    Google Scholar 

  3. Bar-Joseph, Z., Gerber, G.K., Jaakkola, T.S., Gifford, D.K., Simon, I.: Continuous representations of time series gene expression data. J. Comput. Biol. 10, 341–356 (2003)

    Article  Google Scholar 

  4. Luan, Y., Li, H.: Clustering of time-course gene expression data using a mixed-effects model with b-splines. Bioinformatics 19, 474–482 (2003)

    Article  Google Scholar 

  5. Song, J.J., Lee, H.J., Morris, J.S., Kang, S.: Clustering of time-course gene expression data using functional data analysis. Comput. Biol. Chem. 31, 265–274 (2007)

    Article  MATH  Google Scholar 

  6. Leng, X.Y., Müller, H.G.: Classification using functional data analysis for temporal gene expression data. Bioinformatics 22, 68–76 (2006)

    Article  Google Scholar 

  7. Song, J.J., Deng, W.G., Lee, H.J., Kwon, D.: Optimal classification for time-course gene expression data using functional data analysis. Comput. Biol. Chem. 32, 426–432 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  8. Bar-Joseph, Z., Gerber, G.K., Simon, I., Gifford, D.K., Jaakkola, T.: Comparing the continuous representation of time-series expression profiles to identify differentially expressed genes. Proc. Nat. Acad. Sci. U.S.A. 100, 10146–10151 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  9. Liu, X.L., Yang, M.C.K.: Identifying temporally differentially expressed genes through functional principal components analysis. Biostatistics 10, 667–679 (2009)

    Article  Google Scholar 

  10. Zhang, W.F., Dai, D.Q.: Spectral reflectance estimation from camera responses by support vector regression and a composite model. J. Opt. Soc. Am. A. 25, 2286–2296 (2008)

    Article  Google Scholar 

  11. Smola, A., Schölkopf, B.: A tutorial on support vector regression. Stat. Comput. 14, 199–222 (2004)

    Article  MathSciNet  Google Scholar 

  12. Zhang, W.F., Dai, D.Q., Yan, H.: On a new class of framelet kernels for support vector regression and regularization networks. In: Zhou, Z.-H., Li, H., Yang, Q. (eds.) PAKDD 2007. LNCS (LNAI), vol. 4426, pp. 355–366. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  13. Zhang, W.F., Dai, D.Q., Yan, H.: Framelet kernels with applications to support vector regression and regularization networks. IEEE Trans. Syst. Man Cybern. Part B Cybern. (2009) (in press)

    Google Scholar 

  14. Vapnik, V.N.: The Nature of Statistical Learning Theory. Springer, New York (1995)

    MATH  Google Scholar 

  15. Vapnik, V.N.: Statistical Learning Theory. Wiley, New York (1998)

    MATH  Google Scholar 

  16. Daubechies, I., Han, B., Ron, A., Shen, Z.: Framelets: Mra-based constructions of wavelet frames. Appl. Comput. Harmon. Anal. 124, 44–88 (2003)

    MathSciNet  Google Scholar 

  17. Spellman, P.T., Sherlock, G., Zhang, M., Iyer, V., Anders, K., Eisen, M., Brown, P., Botstein, D., Fucher, B.: Comprehensive identification of cell cycle-regulated genes of the yeast saccharomyces cerevisiae by microarray hybridization. Mol. Biol. Cell. 9, 3273–3297 (1998)

    Google Scholar 

  18. Aach, J., Church, G.M.: Aligning gene expression time series with time warping algorithms. Bioinformatics 174, 495–508 (2001)

    Article  Google Scholar 

  19. Chang, C.C., Lin, C.J.: LIBSVM: a library for support vector machines (2001), 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

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, WF., Liu, CC., Yan, H. (2010). Temporal Gene Expression Profiles Reconstruction by Support Vector Regression and Framelet Kernel. In: Zhang, L., Lu, BL., Kwok, J. (eds) Advances in Neural Networks - ISNN 2010. ISNN 2010. Lecture Notes in Computer Science, vol 6064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13318-3_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13318-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13317-6

  • Online ISBN: 978-3-642-13318-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics