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Compatibility, Coherence and the RIP

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Uncertainty Modelling in Data Science (SMPS 2018)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 832))

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Abstract

We generalise the classical result on the compatibility of marginal, possible non-disjoint, assessments in terms of the running intersection property to the imprecise case, where our beliefs are modelled in terms of sets of desirable gambles. We consider the case where we have unconditional and conditional assessments, and show that the problem can be simplified via a tree decomposition.

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Acknowledgements

We acknowledge the financial support by project TIN2014-59543-P.

Author information

Authors and Affiliations

  1. Department of Statistics and O.R., University of Oviedo, Oviedo, Spain

    Enrique Miranda

  2. IDSIA, Lugano, Switzerland

    Marco Zaffalon

Authors
  1. Enrique Miranda
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  2. Marco Zaffalon
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Corresponding author

Correspondence to Enrique Miranda .

Editor information

Editors and Affiliations

  1. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Sébastien Destercke

  2. CNRS, Heudiasyc, Sorbonne universités, Université de technologie de Compiègne, Compiegne, France

    Thierry Denoeux

  3. Department of Statistics and Operational Research and Mathematics Didactics, University of Oviedo, Oviedo, Asturias, Spain

    María Ángeles Gil

  4. Faculty of Mathematics and Information Science, Warsaw University of Technology, Warsaw, Poland

    Przemyslaw Grzegorzewski

  5. Department of Stochastic Methods, Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Olgierd Hryniewicz

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Miranda, E., Zaffalon, M. (2019). Compatibility, Coherence and the RIP. In: Destercke, S., Denoeux, T., Gil, M., Grzegorzewski, P., Hryniewicz, O. (eds) Uncertainty Modelling in Data Science. SMPS 2018. Advances in Intelligent Systems and Computing, vol 832. Springer, Cham. https://doi.org/10.1007/978-3-319-97547-4_22

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