# Wasserstein statistics in 1D location-scale model.

@article{Amari2020WassersteinSI, title={Wasserstein statistics in 1D location-scale model.}, author={Shun-ichi Amari}, journal={arXiv: Statistics Theory}, year={2020} }

Wasserstein geometry and information geometry are two important structures introduced in a manifold of probability distributions. The former is defined by using the transportation cost between two distributions, so it reflects the metric structure of the base manifold on which distributions are defined. Information geometry is constructed based on the invariance criterion that the geometry is invariant under reversible transformations of the base space. Both have their own merits for… CONTINUE READING

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## Hessian metric via transport information geometry

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HIGHLY INFLUENTIAL

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