Basis-class function

Basis functions

An object of class Basis contains the basis functions used to construct the matrix $S$ in FRK. class

Details

Basis functions are a central component of FRK, and the package is designed to work with user-defined specifications of these. For convenience, however, several functions are available to aid the user to construct a basis set for a given set of data points. Please see auto_basis for more details. The function local_basis helps the user construct a set of local basis functions (e.g., bisquare functions) from a collection of location and scale parameters.

Slots

• manifold: an object of class manifold that contains information on the manifold and the distance measure used on the manifold. See manifold-class for more details
• n: the number of basis functions in this set
• fn: a list of length n, with each item the function of a specific basis function
• pars: a list of parameters where the $i$-th item in the list contains the parameters of the $i$-th basis function, fn[[i]]
• df: a data frame containing other attributes specific to each basis function (for example the geometric centre of the local basis function)
• regular: logical indicating if the basis functions (of each resolution) are in a regular grid

See Also

auto_basis for automatically constructing basis functions and show_basis for visualising basis functions.