Nonparametric regression in nonstandard spaces

DOI10.1214/22-EJS2056MaRDI QIDQ2084459

Christof Schötz

Publication date: 18 October 2022

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.13332

zbMATH Keywords

metric spacenonparametric regressionFréchet meangeodesic regressionFréchet regression

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Statistics on metric spaces (62R20)

Uses Software

• R

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fréchet regression for random objects with Euclidean predictors
• Large sample theory of intrinsic and extrinsic sample means on manifolds. I
• Geometry of the space of phylogenetic trees
• Weak convergence and empirical processes. With applications to statistics
• Convergence rates for the generalized Fréchet mean via the quadruple inequality
• Convergence rates for empirical barycenters in metric spaces: curvature, convexity and extendable geodesics
• Geodesic regression and the theory of least squares on Riemannian manifolds
• A smeary central limit theorem for manifolds with application to high-dimensional spheres
• An algorithm for computing Fréchet means on the sphere
• Computing Medians and Means in Hadamard Spaces
• Barycenters in the Wasserstein Space
• Barycenters in Alexandrov spaces of curvature bounded below
• Regression Models on Riemannian Symmetric Spaces
• Upper and Lower Bounds for Stochastic Processes
• Local polynomial regression for symmetric positive definite matrices
• Nonparametric Regression between General Riemannian Manifolds

This page was built for publication: Nonparametric regression in nonstandard spaces