fdWasserstein:Application of Optimal Transport to Functional Data Analysis
These functions were developed to support statistical analysis on functional covariance operators. The package
contains functions to: - compute 2-Wasserstein distances
between Gaussian Processes as in Masarotto, Panaretos & Zemel
(2019) <doi:10.1007/s13171-018-0130-1>; - compute the
Wasserstein barycenter (Frechet mean) as in Masarotto,
Panaretos & Zemel (2019) <doi:10.1007/s13171-018-0130-1>; -
perform analysis of variance testing procedures for functional
covariances and tangent space principal component analysis of
covariance operators as in Masarotto, Panaretos & Zemel (2022)
<arXiv:2212.04797>. - perform a soft-clustering based on the
Wasserstein distance where functional data are classified based
on their covariance structure as in Masarotto & Masarotto
(2023) <doi:10.1111/sjos.12692>.