Formal Riemannian Structure of the Wasserstein metric
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The Wasserstein metric is defined as
- Failed to parse (syntax error): {\displaystyle W_2(\mu, \nu) := \min_{\gamma \in \Gamma(\mu, \nu) \left( \int |x_1 - x_2|^2 \, d\gamma(x_1, x_2) \right)^{1/2} }
Basic Structure of Riemannian Manifolds
Tangent Space Induced by Wasserstein Metric
Riemannian Metric Induced by Wasserstein Metric
References
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