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A Numerical Efficiency Analysis of a Common Ancestor Condition

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Book cover Mathematical Aspects of Computer and Information Sciences (MACIS 2019)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 11989))

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Abstract

The aim of this paper is to understand if the sufficient condition for the existence of a common ancestor for some variables in a larger graph discovered by Steudel and Ay is worth checking. The goodness of this criterion will be tested with a numerical method.

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References

  1. Steudel, B., Ay, N.: Information-theoretic inference of common ancestors. Entropy 17(4), 2304–2327 (2015)

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  3. Cover, T.M., Thomas, J.A.: Elements of Information Theory, 2nd edn., xxiv+748 pp. Wiley, Hoboken (2006). ISBN 978-0-471-24195-9, 0-471-24195-4

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  4. Collazo, R.A., Görgen, C., Smith, J.Q.: Chain Event Graphs. Chapman and Hall/CRC Computer Science and Data Analysis Series, xx+233 pp. CRC Press, Boca Raton (2018). ISBN 978-1-4987-2960-4

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  5. Ay, N., Jost, J., Lê, H.V., Schwachhöfer, L.: Information Geometry. EMGFASMSM, vol. 64. Springer, Cham (2017). https://doi.org/10.1007/978-3-319-56478-4. xi+407 pp. ISBN 978-3-319-56477-7, 978-3-319-56478-4

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Author information

Authors and Affiliations

  1. Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany

    Luca Carlini, Nihat Ay & Christiane Görgen

  2. Santa Fe Institute, Santa Fe, USA

    Nihat Ay

  3. Faculty of Mathematics and Computer Science, University of Leipzig, Leipzig, Germany

    Nihat Ay

  4. Università degli Studi di Genova, Genoa, Italy

    Luca Carlini

Authors
  1. Luca Carlini
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  2. Nihat Ay
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  3. Christiane Görgen
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Corresponding author

Correspondence to Luca Carlini .

Editor information

Editors and Affiliations

  1. AIT Austrian Institute of Technology, Vienna, Austria

    Daniel Slamanig

  2. IMJ-PRG, Sorbonne University, Paris, France

    Elias Tsigaridas

  3. Institute of Information Technologies, Gebze Technical University, Gebze, Turkey

    Zafeirakis Zafeirakopoulos

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Carlini, L., Ay, N., Görgen, C. (2020). A Numerical Efficiency Analysis of a Common Ancestor Condition. In: Slamanig, D., Tsigaridas, E., Zafeirakopoulos, Z. (eds) Mathematical Aspects of Computer and Information Sciences. MACIS 2019. Lecture Notes in Computer Science(), vol 11989. Springer, Cham. https://doi.org/10.1007/978-3-030-43120-4_28

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  • DOI: https://doi.org/10.1007/978-3-030-43120-4_28

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-43119-8

  • Online ISBN: 978-3-030-43120-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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