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International Conference on Geometric Science of Information

GSI 2021: Geometric Science of Information pp 137–144Cite as

Q-Information Geometry of Systems

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Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 12829))

Abstract

This paper proposes a generalization of information geometry named Q-information geometry (Q-IG) related to systems described by parametric models, based \(\mathbb {R}\)-Complex Finsler subspaces and leading to Q-spaces. A Q-space is a pair \( \left( \text {M}^n_{S_X},\vert F^{Q,n}_{J,x} \vert \right) \) with \(\text {M}^n_{S_X}\) a \(\mathbb {C}\)-manifold of systems and \( \vert F^{Q,n}_{J,x} \vert \) a continuous function such that \( F^{Q,n}_{3,x}=F^n_{{H},x}+\sqrt{-1}F^n_{\overline{H},x} \) with a signature \( (+,+,-) \) where \( F^n_{H,x} \) and \(F^n_{\overline{H},x}\) are \( \tau \)-Hermitian and \( \tau \)-non-Hermitian metrics, respectively. Experimental results are presented from a semi-finite acoustic waves guide.

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Author information

Authors and Affiliations

  1. Université de Lyon, UJM-Saint-Etienne, LASPI, 42334, IUT de Roanne, France

    Christophe Corbier

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  1. Christophe Corbier
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Correspondence to Christophe Corbier .

Editor information

Editors and Affiliations

  1. Sony Computer Science Laboratories Inc., Tokyo, Japan

    Frank Nielsen

  2. THALES Land & Air Systems, Meudon, France

    Frédéric Barbaresco

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Corbier, C. (2021). Q-Information Geometry of Systems. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science(), vol 12829. Springer, Cham. https://doi.org/10.1007/978-3-030-80209-7_16

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  • DOI: https://doi.org/10.1007/978-3-030-80209-7_16

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-80208-0

  • Online ISBN: 978-3-030-80209-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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