Affine statistical bundle modeled on a Gaussian Orlicz–Sobolev space

Pistone, Giovanni

doi:10.1007/s41884-022-00078-6

Info. Geo.

2022

DOI: 10.1007/s41884-022-00078-6

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Affine statistical bundle modeled on a Gaussian Orlicz–Sobolev space

Giovanni Pistone

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2024

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Cited by 2 publications

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Information geometry of the Otto metric

2024

Info. Geo.

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We introduce the dual of the mixture connection with respect to the Otto metric which represents a new kind of exponential connection. This provides a dual structure consisting of the mixture connection, the Otto metric as a Riemannian metric, and the new exponential connection. We derive the geodesic equation of this exponential connection, which coincides with the Kolmogorov forward equation of a gradient flow. We then derive the canonical contrast function of the introduced dual structure.

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Information geometry of the Otto metric

2024

Info. Geo.

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Global differentiable structures for the Fisher-Rao and Kantorovich-Wasserstein-Otto metrics

Newton

2024

Journal of Mathematical Analysis and Applications

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Affine statistical bundle modeled on a Gaussian Orlicz–Sobolev space

Cited by 2 publications

References 46 publications

Information geometry of the Otto metric

Information geometry of the Otto metric

Global differentiable structures for the Fisher-Rao and Kantorovich-Wasserstein-Otto metrics

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