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- W4312203683 abstract "Distribution-on-distribution regression considers the problem of formulating and estimating a regression relationship where both covariate and response are probability distributions. The optimal transport distributional regression model postulates that the conditional Fréchet mean of the response distribution is linked to the covariate distribution via an optimal transport map. We establish the minimax rate of estimation of such a regression function, by deriving a lower bound that matches the convergence rate attained by the Fréchet least squares estimator." @default.
- W4312203683 created "2023-01-04" @default.
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- W4312203683 date "2023-03-01" @default.
- W4312203683 modified "2023-10-01" @default.
- W4312203683 title "Minimax rate for optimal transport regression between distributions" @default.
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- W4312203683 doi "https://doi.org/10.1016/j.spl.2022.109758" @default.
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