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- W1513866537 abstract "The concept of the canonical divergence is defined for dually flat statistical manifolds in terms of the Legendre transform between dual affine coordinates. In this article, we introduce a new two point function defined for any triple (g,∇, ∇ * ) of a Riemannian metric g and two affine connections ∇ and ∇ * . We show that this interprets the canonical divergence without refering to the existence of special coordinates (dual affine coordinates) but in terms of only classical mechanics concerning ∇- and ∇ * -geodesics. We also discuss the properties of the two point function and show that this shares some important properties with the canonical divergence defined on dually flat statistical manifolds." @default.
- W1513866537 created "2016-06-24" @default.
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- W1513866537 date "2000-01-01" @default.
- W1513866537 modified "2023-09-24" @default.
- W1513866537 title "Hooke’s law in statistical manifolds and divergences" @default.
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- W1513866537 doi "https://doi.org/10.1017/s002776300000739x" @default.
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