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Modeling and Monitoring Dynamic Systems by Chain Graphs

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Learning from Data

Part of the book series: Lecture Notes in Statistics ((LNS,volume 112))

Abstract

It is widely recognized that probabilistic graphical models provide a good framework for both knowledge representation and probabilistic inference (e.g., see [Cheeseman94], [Whittaker90]). The dynamic behaviour of a system which changes over time requires an implicit or explicit time representation. In this paper, an implicit time representation using dynamic graphical models is proposed. Our goal is to model the state of a system and its evolution over time in a richer and more natural way than other approaches together with a more suitable treatment of the inference on variables of interest.

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References

  1. Berzuini, C. (1990). Modelling temporal processes via belief networks and petri nets, with application to expert systems. Annals of Mathematics and Artificial Intelligence, 2, 39–64.

    Article  MATH  Google Scholar 

  2. Cheeseman, P.; Olford, R.W. (Eds.) (1994) Selecting Models from Data. Artificial Intelligence and Statistics IV. Lecture Notes in Statistics No. 89. Springer-Verlag.

    Google Scholar 

  3. Cooper, G. F.; Horvitz, E.J.; Beckerman, D.E. (1988) A method for temporal probabilistic reasoning. Working paper KSL 88–30. Knowledge Systems Laboratory. Medical Computer Science. Standford University. Standford, California.

    Google Scholar 

  4. Dagum, P.; Galper, A.; Horvitz, E. (1992) Dynamic network models for forecasting. In Dubois, D.; Wellamn, M.P.; D’Ambrosio, B.; Smets, P. (Eds.) Uncertainty in Artificial Intelligence. Proceedings of the Eighth Conference. Morgan Kaufmann, 41–48.

    Google Scholar 

  5. Dagum, P.; Galper, A. (1993) Forecasting sleep apnea with dynamic network models. In Hekerman, D.; Mamdani, A. (Eds.) Uncertainty in Artificial Intelligence. Proceedings of the Ninth Conference. Morgan Kaufmann, 64–71.

    Google Scholar 

  6. Modeling and Monitoring Dynamic Systems by Chain Graphs 77

    Google Scholar 

  7. Dagum, P.; Galper, A.; Horvitz, E.; Seiver, A. (1993) Uncertain reasoning and forecasting. Report KSL-93–47. Knowledge System Laboratory. Standford University. Standford, California.

    Google Scholar 

  8. Frydenberg, M. (1990) The chain graph Markov property. Scandinavian Journal of Statistics, vol 7, No. 4, 333–335.

    MathSciNet  Google Scholar 

  9. Kjaerulff, U. (1992) A computational scheme for reasoning in dynamic probabilistic networks. In Dubois, D.; Wellamn, M.P.; D’Ambrosio, B.; Smets, P. (Eds.) Uncertainty in Artificial Intelligence. Proceedings of the Eighth Conference. Morgan Kaufmann, 121–129.

    Google Scholar 

  10. Nicholson, A. E.; Brady, J.M. (1992) Sensor validation using dynamic belief networks. In Dubois, D.; Wellman, M.P.; D’Ambrosio, B.; Smets, P. (Eds.) Uncertainty in Artificial Intelligence. Proceedings of the Eighth Conference. Morgan Kaufmann, 207–214.

    Google Scholar 

  11. Provan, G.M.A. (1993) Tradeoffs in constructing and evaluating temporal influence diagrams. In Heckerman, D.; Mamdani, A. (Eds.) Uncertainty in Artificial Intelligence. Proceedings of the Ninth Conference. Morgan Kaufmann, 40–47.

    Google Scholar 

  12. Provan, G.M.A.; Clarke, J. R. (1993) Dynamic network construction and updating techniques for the diagnosis of acute abdominal pain. IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 15, No. 3, 299–307.

    Article  Google Scholar 

  13. Provan, G.M.A. (1994) Model selection for diagnosis and treatment using temporal influence diagrams. In [Cheeseman94], 133–142.

    Google Scholar 

  14. West, M.; Harrison, J. (1989) Bayesian forecasting and dynamic models. Springer Verlag.

    Google Scholar 

  15. Whittaker, J. (1990) Graphical models in applied multivariate statistics. John Wiley and Sons.

    Google Scholar 

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© 1996 Springer-Verlag New York, Inc.

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Lekuona, A., Lacruz, B., Lasala, P. (1996). Modeling and Monitoring Dynamic Systems by Chain Graphs. In: Fisher, D., Lenz, HJ. (eds) Learning from Data. Lecture Notes in Statistics, vol 112. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-2404-4_7

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  • DOI: https://doi.org/10.1007/978-1-4612-2404-4_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-0-387-94736-5

  • Online ISBN: 978-1-4612-2404-4

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