Variable-order Bayesian network

Variable-order Bayesian network (VOBN) models provide an important extension of both the Bayesian network models and the variable-order Markov models. VOBN models are used in machine learning in general and have shown great potential in bioinformatics applications.[1][2] These models extend the widely used position weight matrix (PWM) models, Markov models, and Bayesian network (BN) models.

In contrast to the BN models, where each random variable depends on a fixed subset of random variables, in VOBN models these subsets may vary based on the specific realization of observed variables. The observed realizations are often called the context and, hence, VOBN models are also known as context-specific Bayesian networks.[3] The flexibility in the definition of conditioning subsets of variables turns out to be a real advantage in classification and analysis applications, as the statistical dependencies between random variables in a sequence of variables (not necessarily adjacent) may be taken into account efficiently, and in a position-specific and context-specific manner.

## See also

* Markov chain
* Examples of Markov chains
* Variable order Markov models
* Markov process
* Markov chain Monte Carlo
* Semi-Markov process
* Artificial intelligence

## References

1. ↑ Ben-Gal, I.; Shani A.; Gohr A.; Grau J.; Arviv S.; Shmilovici A.; Posch S.; Grosse I. (2005). "Identification of Transcription Factor Binding Sites with Variable-order Bayesian Networks". Bioinformatics 21 (11): 2657–2666. doi:10.1093/bioinformatics/bti410. PMID 15797905. http://bioinformatics.oxfordjournals.org/cgi/reprint/bti410?ijkey=KkxNhRdTSfvtvXY&keytype=ref.
2. ↑ Grau, J.; Ben-Gal I.; Posch S.; Grosse I. (2006). "VOMBAT: Prediction of Transcription Factor Binding Sites using Variable Order Bayesian Trees". Nucleic Acids Research 34 (Web Server issue): 529–533. doi:10.1093/nar/gkl212. PMID 16845064. PMC 1538886. http://www.eng.tau.ac.il/~bengal/VOMBAT.pdf. Retrieved 2007-05-14.
3. ↑ Boutilier, C.; Friedman, N.; Goldszmidt, M.; Koller, D. (1996). "Context-specific independence in Bayesian networks". 12th Conference on Uncertainty in Artificial Intelligence (August 1–4, 1996). Reed College, Portland, Oregon, USA. pp. 115–123. http://www.informatik.uni-trier.de/~ley/db/conf/uai/uai1996.html.

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