Upper and lower risk bounds for estimating the Wasserstein barycenter of random measures on the real line
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Publication:1657954
DOI10.1214/18-EJS1400zbMath1403.62057arXiv1606.03933MaRDI QIDQ1657954
Alfredo López, Thierry Klein, Raúl Gouet, Jérémie Bigot
Publication date: 14 August 2018
Published in: Electronic Journal of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1606.03933
smoothingfunctional data analysisWasserstein spaceFréchet meanminimax optimalitybarycenter of probability measuresdensity registrationphase and amplitude variability
Nonparametric regression and quantile regression (62G08) Asymptotic properties of nonparametric inference (62G20)
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