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On the Fusion of Probabilistic Networks

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Modern Approaches in Applied Intelligence (IEA/AIE 2011)

Abstract

This paper deals with the problem of merging multiple-source uncertain information in the framework of probability theory. Pieces of information are represented by probabilistic (or bayesian) networks, which are efficient tools for reasoning under uncertainty. We first show that the merging of probabilistic networks having the same graphical (DAG) structure can be easily achieved in polynomial time. We then propose solutions to merge probabilistic networks having different structures. Lastly, we show how to deal with the sub-normalization problem which reflects the presence of conflicts between different sources.

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References

  1. Baral, C., Kraus, S., Minker, J., Subrahmanian, V.S.: Combining knowledge bases consisting in first order theories. Computational Intelligence 8(1), 45–71 (1992)

    Article  Google Scholar 

  2. Benferhat, S., Titouna, F.: Fusion and normalization of quantitative possibilistic networks. Appl. Intell. 31(2), 135–160 (2009)

    Article  Google Scholar 

  3. Darwiche, A.: Modeling and Reasoning with Bayesian Networks. Cambridge University Press, Cambridge (2009)

    Book  MATH  Google Scholar 

  4. de Oude, P., Ottens, B., Pavlin, G.: Information fusion with distributed probabilistic networks. Artificial Intelligence and Applications, 195–201 (2005)

    Google Scholar 

  5. JoseDel, S., Serafin, M.: Qualitative combination of bayesian networks. International Journal of Intelligent Systems 18(2), 237–249 (2003)

    Article  MATH  Google Scholar 

  6. Konieczny, S., Perez, R.: On the logic of merging. In: Proceedings of the Sixth International Conference on Principles of Knowledge Representation and Reasoning (KR 1998), pp. 488–498 (1998)

    Google Scholar 

  7. Matzkevich, I., Abramson, B.: The topological fusion of bayes nets. In: Dubois, D., Wellman, M.P., D’Ambrosio, B., Smets, P. (eds.) 8th Conf. on Uncertainty in Artificial Intelligence (1992)

    Google Scholar 

  8. Matzkevich, I., Abramson, B.: Some complexity considerations in the combination of belief networks. In: Heckerman, D., Mamdani, A. (eds.) Proc. of the 9th Conf. on Uncertainty in Artificial Intelligence (1993)

    Google Scholar 

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© 2011 Springer-Verlag Berlin Heidelberg

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Benferhat, S., Titouna, F. (2011). On the Fusion of Probabilistic Networks. In: Mehrotra, K.G., Mohan, C.K., Oh, J.C., Varshney, P.K., Ali, M. (eds) Modern Approaches in Applied Intelligence. IEA/AIE 2011. Lecture Notes in Computer Science(), vol 6703. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21822-4_6

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  • DOI: https://doi.org/10.1007/978-3-642-21822-4_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21821-7

  • Online ISBN: 978-3-642-21822-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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