PCA on the Torus via Density Ridges
Toroidal distances
Tests of homogeneity and independence in bivariate sine von Mises and ...
Density evaluation, sampling, and parameter estimation of the bivariat...
Density evaluation, sampling, and parameter estimation of the bivariat...
Density evaluation, sampling, and parameter estimation of the bivariat...
Fréchet statistics on the torus
Fourier-fitted ridge curve and related utilities
Connected component of the toroidal density ridge of a bivariate sine ...
Fourier expansion of a given curve
Toroidal PCA via density ridges
Scores and scales for Fourier-fitted ridge curves
ridgetorus: PCA on the Torus via Density Ridges
Illustration of toroidal PCA via density ridges
Toroidal pairs plot
Implementation of a Principal Component Analysis (PCA) in the torus via density ridge estimation. The main function, ridge_pca(), obtains the relevant density ridge for bivariate sine von Mises and bivariate wrapped Cauchy distribution models and provides the associated scores and variance decomposition. Auxiliary functions for evaluating, fitting, and sampling these models are also provided. The package provides replicability to García-Portugués and Prieto-Tirado (2023) <doi:10.1007/s11222-023-10273-9>.