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Divergence Functions in Information Geometry

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Geometric Science of Information (GSI 2019)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 11712))

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Abstract

A recently introduced canonical divergence \(\mathcal {D}\) for a dual structure \((\mathrm{g},\nabla ,\nabla ^*)\) on a smooth manifold \(\mathrm {M}\) is discussed in connection to other divergence functions. Finally, general properties of \(\mathcal {D}\) are outlined and critically discussed.

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Correspondence to Domenico Felice .

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Felice, D., Ay, N. (2019). Divergence Functions in Information Geometry. In: Nielsen, F., Barbaresco, F. (eds) Geometric Science of Information. GSI 2019. Lecture Notes in Computer Science(), vol 11712. Springer, Cham. https://doi.org/10.1007/978-3-030-26980-7_45

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  • DOI: https://doi.org/10.1007/978-3-030-26980-7_45

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-26979-1

  • Online ISBN: 978-3-030-26980-7

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