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Mixtures of Gaussians as a Proxy in Hybrid Bayesian Networks

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The Mathematics of the Uncertain

Part of the book series: Studies in Systems, Decision and Control ((SSDC,volume 142))

Abstract

In this paper we explore the use of mixtures of Gaussians as a proxy for mixtures of truncated basis functions in hybrid Bayesian networks. The idea is to use mixtures of Gaussians during the learning process, and move to mixtures of truncated basis functions for carrying out probabilistic inference. This would bridge the gap between efficient inference and learning in hybrid Bayesian networks, specially in scenarios where data comes in streams and models need to be continuously updated.

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Notes

  1. 1.

    https://CRAN.R-project.org/package=MoTBFs.

References

  1. Dempster A, Larid N, Rubin D (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc Ser B 39(1):1–38

    MathSciNet  MATH  Google Scholar 

  2. Langseth H, Nielsen T, Rumí R, Salmerón A (2012b) Mixtures of truncated basis functions. Int J Approx Reason 53(2):212–227

    Article  MathSciNet  MATH  Google Scholar 

  3. Langseth H, Nielsen T, Pérez-Bernabé I, Salmerón A (2014) Learning mixtures of truncated basis functions from data. Int J Approx Reason 55:940–956

    Article  MathSciNet  MATH  Google Scholar 

  4. Langseth H, Nielsen T, Rumí R, Salmerón A (2012) Inference in hybrid Bayesian networks with mixtures of truncated basis functions. In: Cano A, Gómez-Olmedo M, Nielsen T (eds) PGM’2012: Proceedings of the 6th European workshop on probabilistic graphical models. Universidad de Granada, DECSAI

    Google Scholar 

  5. Lauritzen SL (1992) Propagation of probabilities, means and variances in mixed graphical association models. J Am Stat Assoc 87:1098–1108

    Article  MathSciNet  MATH  Google Scholar 

  6. Moral S, Rumí R, Salmerón A (2001) Mixtures of truncated exponentials in hybrid Bayesian networks. In: Benferhat S, Besnard P (eds) EQSCARU’2001, vol 2143. Lecture Notes in Artificial Intelligence. Springer, Berlin

    Google Scholar 

  7. Pearl J (1988) Probabilistic reasoning in intelligent systems. Morgan-Kaufmann, San Mateo

    MATH  Google Scholar 

  8. Pinto RC, Engel PM (2015) A fast incremental Gaussian mixture model. PLOS ONE 10(10):e0139, 931

    Google Scholar 

  9. Shenoy PP, West JC (2011) Inference in hybrid Bayesian networks using mixtures of polynomials. Int J Approx Reason 52:641–657

    Article  MathSciNet  MATH  Google Scholar 

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Acknowledgements

This research has been funded by the Spanish Ministry of Economy and Competitiveness, through projects TIN2013-46638-C3-1-P, TIN2016-77902-C3-3-P and by ERDF funds.

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Correspondence to Antonio Salmerón .

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Salmerón, A., Reche, F. (2018). Mixtures of Gaussians as a Proxy in Hybrid Bayesian Networks. In: Gil, E., Gil, E., Gil, J., Gil, M. (eds) The Mathematics of the Uncertain. Studies in Systems, Decision and Control, vol 142. Springer, Cham. https://doi.org/10.1007/978-3-319-73848-2_35

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  • DOI: https://doi.org/10.1007/978-3-319-73848-2_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-73847-5

  • Online ISBN: 978-3-319-73848-2

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