On Wasserstein geometry of the space of Gaussian measures

zbMath1206.60016arXiv0801.2250MaRDI QIDQ5748040

Asuka Takatsu

Publication date: 14 September 2010

Full work available at URL: https://arxiv.org/abs/0801.2250

zbMATH Keywords

Gaussian measuresWasserstein space

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Spaces of measures, convergence of measures (28A33)

Related Items (9)

Gromov–Wasserstein distances between Gaussian distributions ⋮ The geometry of mixed-Euclidean metrics on symmetric positive definite matrices ⋮ Lower bound for the coarse Ricci curvature of continuous-time pure-jump processes ⋮ Bures–Wasserstein Minimizing Geodesics between Covariance Matrices of Different Ranks ⋮ Information geometry of warped product spaces ⋮ \(O(n)\)-invariant Riemannian metrics on SPD matrices ⋮ Displacement convexity of generalized relative entropies ⋮ Accelerated information gradient flow ⋮ Bures-Wasserstein geometry for positive-definite Hermitian matrices and their trace-one subset

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