[go: up one dir, main page]

Skip to main content
Log in

Mining the structural knowledge of high-dimensional medical data using isomap

  • Published:
Medical and Biological Engineering and Computing Aims and scope Submit manuscript

Abstract

The paper describes an application of a new, non-linear dimensionality reduction method, named Isomap, for mining the structural knowledge from high-dimensional medical data. The algorithm was evaluated on two publicly available medical datasets: the pathological dataset of breast cancer (241 malignant samples) and the gene expression dataset from the lung (186 tumours). It was found by Isomap that the approximate intrinsic dimensionalities of these two datasets were as low as three. The spatial structures of both datasets were presented in low-dimensional space. Isomap, as a general tool for dimensionality reduction analysis, is helpful in revealing the nonlinear structural knowledge of high-dimensional medical data.

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

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Bhattacharjee, A., Richards, W. G., Staunton, J., Li, C., Monti, S., Vasa, P., Ladd, C., Beheshti, J., Bueno, R., Gillette, M., Loda, M., Weber, G., Mark, E. J., Lander, E. S., Wong, W., Johnson, B. E., Golub, T. R., Sugarbaker, D. J., andMeyerson, M. (2001): ‘Classification of human lung carcinomas by mRNA expression profiling reveals distinct adenocarcinoma subclasses’,Proc. Nat. Acad. Sci. USA,98, pp. 13790–13795

    Article  Google Scholar 

  • Blake, C. L. andMerz, C. J. (1998): ‘UCI repository of machine learning databases [http://www.ics.uci.edu/≈mlearn/MLRepository. html]. Irvine, CA: University of California, Department of Information & Computer Science

    Google Scholar 

  • Borg, I., andGroenen, P. (1997): ‘Modern multidimensional scaling: theory and application’ (Springer-Verlag, New York, Berlin, Heidelberg, 1997)

    Google Scholar 

  • Hastie, T. J., andStuetzle, W. (1989): ‘Principal curves’,J. Am. Stat. Assoc.,84, pp. 502–516

    MathSciNet  Google Scholar 

  • Huber, P. J. (1985): ‘Projection pursuit’,Ann. Statist.,13, pp. 435–475

    MATH  MathSciNet  Google Scholar 

  • Jolliffe, I. T. (1986): ‘Principal component analysis’ (Springer-Verlag, New York, 1986)

    Google Scholar 

  • Kohonen, T. (1997): ‘Self organizing maps’ (Springer, Berlin, 1997)

    Google Scholar 

  • Tenenbaum, J. B., Silvam, V. D., andLangford, J. C. (2000): ‘A global geometric framework for nonlinear dimensionality reduction’,Science,290, pp. 2319–2323

    Article  Google Scholar 

  • Travis, W. D., Travis, L. B., andDevesa, S. S. (1995): ‘Lungcancer’,Cancer,75, pp. 191–202

    Google Scholar 

  • Wolberg, W. H., andMangasarian, O. L. (1990): ‘Multisurface method of pattern separation for medical diagnosis applied to breast cytology’,Proc. Natl. Acad. Sci. USA,87, pp. 9193–9196

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to C. Zhang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Weng, S., Zhang, C., Lin, Z. et al. Mining the structural knowledge of high-dimensional medical data using isomap. Med. Biol. Eng. Comput. 43, 410–412 (2005). https://doi.org/10.1007/BF02345820

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02345820

Keywords

Navigation