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polykde (version 1.1.7)

Polyspherical Kernel Density Estimation

Description

Kernel density estimation on the polysphere, (hyper)sphere, and circle. Includes functions for density estimation, regression estimation, ridge estimation, bandwidth selection, kernels, samplers, and homogeneity tests. Companion package to García-Portugués and Meilán-Vila (2025) and García-Portugués and Meilán-Vila (2023) .

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Install

install.packages('polykde')

Monthly Downloads

167

Version

1.1.7

License

GPL-3

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Repository

https://github.com/egarpor/polykde

Maintainer

Eduardo Portugues

Last Published

July 27th, 2025

Functions in polykde (1.1.7)

Euler algorithms for polyspherical density ridge estimation

Density of the product of von Mises--Fisher distributions on the polysphere

grad_hess_kde_polysph

Gradient and Hessian of the polyspherical kernel density estimator

curv_vmf_polysph

Curvature of a polyspherical von Mises--Fisher density

Polyspherical kernel moments and efficiencies

Fibonacci lattice on the sphere

Map Cartesian coordinates into Hammer projection

Local polynomial estimator for polyspherical-on-scalar regression

Skeletal representation of hippocampus shapes

Kernels on the sphere and their derivatives

Interpolation on the polysphere

Index a ridge curve, creating the Smoothed and Indexed Estimated Ridge (SIER)

polykde-package

polykde: Polyspherical Kernel Density Estimation

Polyspherical kernel density estimator

polylog_minus_exp_mu

Polylogarithm function with negative argument

log_cv_kde_polysph

Cross-validation for the polyspherical kernel density estimator

Stable computation of the softplus function

Sample von Mises--Fisher distributed polyspherical data

Samplers of one-dimensional modes of variation for polyspherical data

Sample from the angular kernel density

Sample uniform polyspherical data

Sample from polyspherical kernel density estimator

hom_test_polysph

Homogeneity test for several polyspherical samples

Projection onto the polysphere

proj_grad_kde_polysph

Projected gradient of the polyspherical kernel density estimator

Sample kernel-distributed polyspherical data

Sample mixtures of von Mises--Fisher distributed polyspherical data

bw_cv_kre_polysph

Cross-validation bandwidth selection for polyspherical-on-scalar regression

bw_mrot_polysph

Marginal rule-of-thumb bandwidth selection for polyspherical kernel density estimator

angles_to_torus

Conversion between the angular and Cartesian coordinates of the torus

Minimum bandwidth allowed in likelihood cross-validation for Epanechnikov kernels

Rule-of-thumb bandwidth selection for polyspherical kernel density estimator

Index of spheres on a polysphere

angles_to_polysph

Conversion between the angular and Cartesian coordinates of the polysphere

clean_euler_ridge

Clean ridge points coming from spurious fits

Conversion between the angular and Cartesian coordinates of the (hyper)sphere

Cross-validation bandwidth selection for polyspherical kernel density estimator

Density of the uniform distribution on the polysphere

Density of the product of von Mises--Fisher distributions on the polysphere

Polyspherical distance