Skip to main content

Simple Pattern Spectrum Estimation for Fast Pattern Filtering with CoCoNAD

  • Conference paper
  • 1483 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8819))

Abstract

CoCoNAD (for Continuous-time Closed Neuron Assembly Detection) is an algorithm for finding frequent parallel episodes in event sequences, which was developed particularly for neural spike train analysis. It has been enhanced by so-called Pattern Spectrum Filtering (PSF), which generates and analyzes surrogate data sets to identify statistically significant patterns, and Pattern Set Reduction (PSR), which eliminates spurious induced patterns. A certain drawback of the former is that a sizable number of surrogates (usually several thousand) have to be generated and analyzed in order to achieve reliable results, which can render the analysis process slow (depending on the analysis parameters). However, since the structure of a pattern spectrum is actually fairly simple, we propose a simple estimation method, with which (an approximation of) a pattern spectrum can be derived from the original data, bypassing the time-consuming generation and analysis of surrogate data sets.

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

Buying options

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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abdi, H., Bonferroni, Šidák: Corrections for Multiple Comparisons. In: Salkind, N.J. (ed.) Encyclopedia of Measurement and Statistics, pp. 103–107. Sage Publications, Thousand Oaks (2007)

    Google Scholar 

  2. Bonferroni, C.E.: Il calcolo delle assicurazioni su gruppi di teste. Studi in Onore del Professore Salvatore Ortu Carboni, pp. 13–60. Bardi, Rome (1935)

    Google Scholar 

  3. Borgelt, C.: Frequent Item Set Mining. Wiley Interdisciplinary Reviews (WIREs): Data Mining and Knowledge Discovery 2, 437–456 (2012)

    Google Scholar 

  4. Borgelt, C., Picado-Muiño, D.: Finding Frequent Synchronous Events in Parallel Point Processes. In: Proc. 12th Int. Symposium on Intelligent Data Analysis (IDA 2013), pp. 116–126. Springer, Heidelberg (2013)

    Chapter  Google Scholar 

  5. Fiedler, M., Borgelt, C.: Subgraph Support in a Single Graph. In: Proc. IEEE Int. Workshop on Mining Graphs and Complex Data, pp. 399–404. IEEE Press, Piscataway (2007)

    Google Scholar 

  6. Gwadera, R., Atallah, M., Szpankowski, W.: Markov Models for Identification of Significant Episodes. In: Proc. 2005 SIAM Int. Conf. on Data Mining, pp. 404–414. Society for Industrial and Applied Mathematics, Philadelphia (2005)

    Chapter  Google Scholar 

  7. Høastad, J.: Clique is Hard to Approximate within n 1e. Acta Mathematica 182, 105–142 (1999)

    Article  MathSciNet  Google Scholar 

  8. Hebb, D.: The Organization of Behavior. J. Wiley & Sons, New York (1949)

    Google Scholar 

  9. Karp, R.M.: Reducibility among Combinatorial Problems. In: Miller, R.E., Thatcher, J.W. (eds.) Complexity of Computer Computations, pp. 85–103. Plenum Press, New York (1972)

    Chapter  Google Scholar 

  10. Laxman, S., Sastry, P.S., Unnikrishnan, K.: Discovering Frequent Episodes and Learning Hidden Markov Models: A Formal Connection. IEEE Trans. on Knowledge and Data Engineering 17(11), 1505–1517 (2005)

    Article  Google Scholar 

  11. Louis, S., Borgelt, C., Grün, S.: Generation and Selection of Surrogate Methods for Correlation Analysis. In: Grün, S., Rotter, S. (eds.) Analysis of Parallel Spike Trains, pp. 359–382. Springer, Berlin (2010)

    Chapter  Google Scholar 

  12. Mannila, H., Toivonen, H., Verkamo, A.: Discovery of Frequent Episodes in Event Sequences. Data Mining and Knowledge Discovery 1(3), 259–289 (1997)

    Article  Google Scholar 

  13. Picado-Muiño, D., Borgelt, C., Berger, D., Gerstein, G.L., Grün, S.: Finding Neural Assemblies with Frequent Item Set Mining. Frontiers in Neuroinformatics, 7: article 9 (2013) doi:10.3389/fninf.2013.00009

    Google Scholar 

  14. Picado-Muiño, D., Borgelt, C.: Frequent Itemset Mining for Sequential Data: Synchrony in Neuronal Spike Trains. In: Intelligent Data Analysis. IOS Press, Amsterdam (to appear, 2014)

    Google Scholar 

  15. Tatti, N.: Significance of Episodes Based on Minimal Windows. In: Proc. 9th IEEE Int. Conf. on Data Mining (ICDM 2009), pp. 513–522. IEEE Press, Piscataway (2009)

    Chapter  Google Scholar 

  16. Torre, E., Picado-Muiño, D., Denker, M., Borgelt, C., Grün, S.: Statistical Evaluation of Synchronous Spike Patterns Extracted by Frequent tem Set Mining. Frontiers in Computational Neuroscience 7, article 132 (2013), doi:10.3389/fninf.2013.00132

    Google Scholar 

  17. Vanetik, N., Gudes, E., Shimony, S.E.: Computing Frequent Graph Patterns from Semistructured Data. In: Proc. IEEE Int. Conf. on Data Mining, pp. 458–465. IEEE Press, Piscataway (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2014 Springer International Publishing Switzerland

About this paper

Cite this paper

Borgelt, C., Picado-Muiño, D. (2014). Simple Pattern Spectrum Estimation for Fast Pattern Filtering with CoCoNAD. In: Blockeel, H., van Leeuwen, M., Vinciotti, V. (eds) Advances in Intelligent Data Analysis XIII. IDA 2014. Lecture Notes in Computer Science, vol 8819. Springer, Cham. https://doi.org/10.1007/978-3-319-12571-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-12571-8_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-12570-1

  • Online ISBN: 978-3-319-12571-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics