Notes on the Wasserstein metric in Hilbert spaces
From MaRDI portal
Publication:1263861
DOI10.1214/aop/1176991269zbMath0688.60011OpenAlexW2035046066MaRDI QIDQ1263861
Carlos Matrán, Juan Antonio Cuesta
Publication date: 1989
Published in: The Annals of Probability (Search for Journal in Brave)
Full work available at URL: https://projecteuclid.org/euclid.aop/1176991269
Probability distributions: general theory (60E05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)
Related Items (25)
Center-Outward R-Estimation for Semiparametric VARMA Models ⋮ A fixed-point approach to barycenters in Wasserstein space ⋮ Acknowledgement of priority: ``Central limit theorem and convergence to stable laws in Mallows distance ⋮ Asymptotics for Semidiscrete Entropic Optimal Transport ⋮ The Monge problem in Banach spaces ⋮ The geometry of optimal transportation ⋮ The Monge–Ampère equation and its link to optimal transportation ⋮ Vector quantile regression beyond the specified case ⋮ On the monotonicity of optimal transportation plans ⋮ Gaussian processes with multidimensional distribution inputs via optimal transport and Hilbertian embedding ⋮ Two-sample goodness-of-fit tests on the flat torus based on Wasserstein distance and their relevance to structural biology ⋮ Wide consensus aggregation in the Wasserstein space. Application to location-scatter families ⋮ On lower bounds for the \(L^ 2\)-Wasserstein metric in a Hilbert space ⋮ Uniqueness and approximate computation of optimal incomplete transportation plans ⋮ A parametric registration model for warped distributions with Wasserstein's distance ⋮ A characterization for the solution of the Monge--Kantorovich mass transference problem ⋮ Free boundaries in optimal transport and Monge-Ampère obstacle problems ⋮ Asymptotic distribution and convergence rates of stochastic algorithms for entropic optimal transportation between probability measures ⋮ Two-temperatures overlap distribution for the 2D discrete Gaussian free field ⋮ Caractérisation d'une solution optimale au problème de Monge-Kantorovitch ⋮ Procrustes metrics on covariance operators and optimal transportation of Gaussian processes ⋮ Optimal solution of a Monge-Kantorovitch transportation problem ⋮ Bounds for sums of random variables when the marginal distributions and the variance of the sum are given ⋮ Distribution's template estimate with Wasserstein metrics ⋮ Optimal transportation, topology and uniqueness
This page was built for publication: Notes on the Wasserstein metric in Hilbert spaces