Skip to main content

An Empirical Study of Self/Non-self Discrimination in Binary Data with a Kernel Estimator

  • Conference paper
Book cover Artificial Immune Systems (ICARIS 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5132))

Included in the following conference series:

Abstract

Affinity functions play a major role within the artificial immune system (AIS) framework and crucially bias the performance of AIS algorithms. In the problem domain of self/non-self discrimination by means of negative selection, affinity functions such as the Hamming distance or the r-contiguous distance are frequently applied to measure distances in binary data. In recent years however, several limitations and problems with these distance measurements in negative selection have been identified. We propose to measure distances in binary data by means of probabilities which are modeled with a kernel estimator. Such a probabilistic model is preeminently applicable for the self/non-self discrimination problem. We underpin our proposal with an empirical study on artificially generated and real-world datasets.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Forrest, S., Perelson, A.S., Allen, L., Cherukuri, R.: Self-nonself discrimination in a computer. In: Proceedings of the Symposium on Research in Security and Privacy, pp. 202–212. IEEE Computer Society Press, Los Alamitos (1994)

    Google Scholar 

  2. Stibor, T.: On the Appropriateness of Negative Selection for Anomaly Detection and Network Intrusion Detection. PhD thesis, Darmstadt University of Technology (2006)

    Google Scholar 

  3. Kullback, S., Leibler, R.A.: On information and sufficiency. The Annals of Mathematical Statistics 22(1), 79–86 (1951)

    Article  MATH  MathSciNet  Google Scholar 

  4. Duda, R., Hart, P.E., Stork, D.G.: Pattern Classification, 2nd edn. Wiley-Interscience, Chichester (2001)

    MATH  Google Scholar 

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

    MATH  Google Scholar 

  6. Aitchison, J., Aitken, C.G.G.: Multivariate binary discrimination by the kernel method. Biometrika 63(3), 413–420 (1976)

    Article  MATH  MathSciNet  Google Scholar 

  7. Stibor, T.: Discriminating self from non-self with finite mixtures of multivariate bernoulli distributions. In: Proceedings of Genetic and Evolutionary Computation Conference – GECCO. ACM Press, New York (to appear, 2008)

    Google Scholar 

  8. González, F., Dasgupta, D., Gómez, J.: The effect of binary matching rules in negative selection. In: Cantú-Paz, E., Foster, J.A., Deb, K., Davis, L., Roy, R., O’Reilly, U.-M., Beyer, H.-G., Kendall, G., Wilson, S.W., Harman, M., Wegener, J., Dasgupta, D., Potter, M.A., Schultz, A., Dowsland, K.A., Jonoska, N., Miller, J., Standish, R.K. (eds.) GECCO 2003. LNCS, vol. 2723, pp. 195–206. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  9. Schölkopf, B., Smola, A.J.: Learning with Kernels: Support Vector Machines, Regularization, Optimization, and Beyond. MIT Press, Cambridge (2001)

    Google Scholar 

  10. Giromali, M., He, C.: Probability density estimation from optimally condensed data samples. IEEE Transactions on Pattern Analysis and Machine Intelligence 25(10), 1253–1264 (2003)

    Article  Google Scholar 

  11. Fukunaga, K., Hayes, R.R.: The reduced parzen window classifier. IEEE Transaction on Pattern Analysis and Machine Intelligence 11(4), 423–425 (1989)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Peter J. Bentley Doheon Lee Sungwon Jung

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Stibor, T. (2008). An Empirical Study of Self/Non-self Discrimination in Binary Data with a Kernel Estimator. In: Bentley, P.J., Lee, D., Jung, S. (eds) Artificial Immune Systems. ICARIS 2008. Lecture Notes in Computer Science, vol 5132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85072-4_31

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-85072-4_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-85071-7

  • Online ISBN: 978-3-540-85072-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics