Skip to main content

Structure Learning for Bayesian Networks as Models of Biological Networks

  • Protocol
  • First Online:
Book cover Data Mining for Systems Biology

Part of the book series: Methods in Molecular Biology ((MIMB,volume 939))

Abstract

Bayesian networks are probabilistic graphical models suitable for modeling several kinds of biological systems. In many cases, the structure of a Bayesian network represents causal molecular mechanisms or statistical associations of the underlying system. Bayesian networks have been applied, for example, for inferring the structure of many biological networks from experimental data. We present some recent progress in learning the structure of static and dynamic Bayesian networks from data.

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

Access this chapter

Protocol
USD 49.95
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 139.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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

Notes

  1. 1.

    In more exact terms, given causal interpretation, there is a concordance between independence equivalence (given by the v-structure method) and likelihood equivalence (5).

  2. 2.

    Sachs dataset: consists of flow cytometry measurements from a signaling network with 11 nodes, of which five have been perturbed in some measurements (21). These interventions contain both inhibitions and activations of the nodes. The data was discretized into ternary values, and uniform Dirichlet priors for parameters and uniform structural priors were used.

References

  1. Heckerman D (1998) A tutorial on learning with Bayesian networks. In: Jordan MI (ed) Learning in graphical models, pp 301–354. MIT Press, Cambridge

    Chapter  Google Scholar 

  2. Husmeier D (2005) Introduction to learning Bayesian networks from data. In: Husmeier D, Dybowski R, Roberts S (eds) Probabilistic modeling in bioinformatics and medical informatics. Springer, Berlin, pp 17–57

    Chapter  Google Scholar 

  3. Cooper G, Herskovits E (1992) A Bayesian method for the induction of probabilistic networks from data. Mach Learn 9:309–347

    Google Scholar 

  4. Geiger D, Heckerman D (1994) Learning Gaussian networks. Proceedings of tenth conference on uncertainty in artificial intelligence (UAI ’94), Seattle, WA, pp 235–243

    Google Scholar 

  5. Heckerman D (1995) A Bayesian approach to learning causal networks. Proceedings of the eleventh conference annual conference on uncertainty in artificial intelligence (UAI ’95), pp 285–295

    Google Scholar 

  6. Verma TS, Pearl J (1990) Equivalence and synthesis of causal models. Proceedings of the sixth annual conference on uncertainty in artifcial intelligence (UAI ’90), pp 220–227

    Google Scholar 

  7. Heckerman D, Geiger D, Chickering D (1995) Learning Bayesian networks: the combination of knowledge and statistical data. Mach Learn 20:197–243

    Google Scholar 

  8. Cooper G, Yoo C (1999) Causal discovery from a mixture of experimental and observational data. Proceedings of the fifteenth annual conference on uncertainty in artificial intelligence (UAI ’99), pp 116–125

    Google Scholar 

  9. Eaton D, Murphy K (2007) Exact Bayesian structure learning from uncertain interventions. Proceedings of the 23rd conference on uncertainty in artificial intelligence and statistics (AISTAT), pp 107–114

    Google Scholar 

  10. Madigan D, York J (1995) Bayesian graphical models for discrete data. Int Stat Rev 63:215–232

    Article  Google Scholar 

  11. Castelo R, Kočka T (2003) On inclusion-driven learning of Bayesian networks. J Mach Learn Res 4:527–574

    Google Scholar 

  12. Grzegorczyk M, Husmeier D (2008) Improving the structure MCMC sampler for Bayesian networks by introducing a new edge reversal move. Mach Learn 71:265–305

    Article  Google Scholar 

  13. Friedman N, Koller D (2003) Being Bayesian about network structure. A bayesian approach to structure discovery in Bayesian networks. Mach Learn 50:95–125

    Google Scholar 

  14. Kovisto M, Sood K (2004) Exact Bayesian structure discovery in Bayesian networks. J Mach Learn Res 5:549–573

    Google Scholar 

  15. Silander T, Myllymäki P (2006) A simple approach for finding the globally optimal Bayesian network structure. Proceedings of the twenty-second conference annual conference on uncertainty in artificial intelligence (UAI ’06), pp 445–452

    Google Scholar 

  16. Eaton D, Murphy K (2007) Bayesian structure learning using dynamic programming and MCMC. Proceedings of the twenty-third conference on uncertainty in artificial intelligence (UAI ’07) , pp 101–108

    Google Scholar 

  17. Lähdesmäki H, Shmulevich I (2008) Learning the structure of dynamic Bayesian networks from time series and steady state measurements. Mach Learn 71:185–217

    Article  Google Scholar 

  18. Pournara I, Wernisch L (2004) Reconstruction of gene networks using Bayesian learning and manipulation experiments. Bioinformatics 20(17):2934–2942

    Article  PubMed  CAS  Google Scholar 

  19. Murphy K (2001) Active learning of causal Bayes net structure. Technical Report, University of California, Berkeley, USA

    Google Scholar 

  20. Tong S, Koller D (2001) Active learning for structure in Bayesian networks. Proceedings of the seventeenth international joint conference on artifcial intelligence, Seattle, WA, USA, pp 863–869

    Google Scholar 

  21. Sachs K, Perez O, Peer DA, Lauffenburger DA, Nolan GP (2005) Protein-signaling networks derived from multiparameter single-cell data. Science 308:523–529

    Article  PubMed  CAS  Google Scholar 

  22. Bayes Net Toolbox for Matlab. http://code.google.com/p/bnt/ Cited 31 Dec 2010

  23. Murphy K. Software packages for graphical models/Bayesian networks. http://www.cs.ubc.ca/~murphyk/Software/bnsoft.html Cited 31 Dec 2010

  24. Bernard A, Hartemink A (2005) Informative structure priors: joint learning of dynamic regulatory networks from multiple types of data. Pacific symposium on biocomputing 2005 (PSB05), pp 459–470

    Google Scholar 

Download references

Acknowledgements

This work was supported by the Academy of Finland (application numbers 135320 and 213462, Finnish Programme for Centres of Excellence in Research 2006–2011), and FP7 EU project SYBILLA.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Harri Lähdesmäki .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this protocol

Cite this protocol

Larjo, A., Shmulevich, I., Lähdesmäki, H. (2013). Structure Learning for Bayesian Networks as Models of Biological Networks. In: Mamitsuka, H., DeLisi, C., Kanehisa, M. (eds) Data Mining for Systems Biology. Methods in Molecular Biology, vol 939. Humana Press, Totowa, NJ. https://doi.org/10.1007/978-1-62703-107-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-1-62703-107-3_4

  • Published:

  • Publisher Name: Humana Press, Totowa, NJ

  • Print ISBN: 978-1-62703-106-6

  • Online ISBN: 978-1-62703-107-3

  • eBook Packages: Springer Protocols

Publish with us

Policies and ethics