Skip to main content

Small Samples of Multidimensional Feature Vectors

  • Conference paper
  • First Online:
Advances in Computational Collective Intelligence (ICCCI 2020)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1287))

Included in the following conference series:

Abstract

A small sample of multidimensional feature vectors appears when the number of features is much greater than the number of objects (feature vectors).

For example, such circumstances appear typically in genetic data sets. In such cases, feature clustering can become a useful tool in classification or prognosis tasks. Feature clustering can be performed through the minimization of the convex and piecewise linear (CPL) criterion functions.

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 EPUB and 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

References

  1. Hand, D., Smyth, P., Mannila, H.: Principles of Data Mining. MIT Press, Cambridge (2001)

    Google Scholar 

  2. Duda, O.R., Hart, P.E., Stork, D.G.: Pattern Classification. John Wiley, New York (2001)

    MATH  Google Scholar 

  3. Bishop, C.M.: Pattern Recognition and Machine Learning. Springer, Heidelberg (2006)

    MATH  Google Scholar 

  4. Bobrowski L.: Data Exploration and Linear Separability, pp. 1–172. Lambert Academic Publishing (2019)

    Google Scholar 

  5. Bobrowski, L.: Data mining based on convex and piecewise linear (CPL) criterion functions (in Polish). Bialystok University of Technology Press (2005)

    Google Scholar 

  6. Bobrowski, L., Łukaszuk, T.: Relaxed linear separability (RLS) approach to feature (Gene) subset selection. In: Xia, X. (ed.) Selected Works in Bioinformatics, pp. 103–118. INTECH (2011)

    Google Scholar 

  7. Bobrowski, L.: Design of piecewise linear classifiers from formal neurons by some basis exchange technique. Pattern Recognit. 24(9), 863–870 (1991)

    Article  Google Scholar 

  8. Simonnard, M.: Linear Programming, Prentice Hall, Englewood Cliffs (1966)

    MATH  Google Scholar 

  9. Bobrowski, L.: Discovering main vertexical planes in a multivariate data space by using CPL functions. In: Perner, P. (ed.) ICDM 2014. LNCS (LNAI), vol. 8557, pp. 200–213. Springer, Cham (2014). https://doi.org/10.1007/978-3-319-08976-8_15

    Chapter  Google Scholar 

Download references

Acknowledgments

The presented study was supported by the grant S/WI/2/2020 from Bialystok University of Technology and funded from the resources for research by Polish Ministry of Science and Higher Education.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Leon Bobrowski .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Bobrowski, L. (2020). Small Samples of Multidimensional Feature Vectors. In: Hernes, M., Wojtkiewicz, K., Szczerbicki, E. (eds) Advances in Computational Collective Intelligence. ICCCI 2020. Communications in Computer and Information Science, vol 1287. Springer, Cham. https://doi.org/10.1007/978-3-030-63119-2_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-63119-2_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-63118-5

  • Online ISBN: 978-3-030-63119-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics