Total variation regularized Fréchet regression for metric-space valued data
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Publication:2073719
DOI10.1214/21-AOS2095zbMath1486.62326arXiv1904.09647MaRDI QIDQ2073719
Zhenhua Lin, Hans-Georg Müller
Publication date: 7 February 2022
Published in: The Annals of Statistics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.09647
Wasserstein metricHadamard spaceAlexandrov spacephylogenetic treeFréchet meanbrain imagingsymmetric positive-definite matrixrandom objectsnon-Euclidean data
Nonparametric regression and quantile regression (62G08) Estimation in multivariate analysis (62H12) Asymptotic properties of nonparametric inference (62G20) Statistics on manifolds (62R30) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Statistics on metric spaces (62R20)
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Intrinsic Riemannian functional data analysis for sparse longitudinal observations, Universal regression with adversarial responses, Single index Fréchet regression
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