Module basis 

Basis representation functions for functional data.

This module provides B-spline and Fourier basis expansions for representing functional data in a finite-dimensional basis.

Re-exports

pub use auto_select::select_basis_auto_1d;

pub use auto_select::BasisAutoSelectionResult;

pub use auto_select::SingleCurveSelection;

pub use basis_system::BasisSystem;

pub use bspline::bspline_basis;

pub use bspline::bspline_basis_from_knots;

pub use bspline::construct_bspline_knots;

pub use constant::constant_basis;

pub use exponential::exponential_basis;

pub use fourier::fourier_basis;

pub use fourier::fourier_basis_with_period;

pub use fourier_fit::fourier_fit_1d;

pub use fourier_fit::select_fourier_nbasis_gcv;

pub use fourier_fit::FourierFitResult;

pub use monomial::monomial_basis;

pub use polygonal::polygonal_basis;

pub use power::power_basis;

pub use projection::basis_to_fdata;

pub use projection::basis_to_fdata_1d;

pub use projection::fdata_to_basis;

pub use projection::fdata_to_basis_1d;

pub use projection::BasisProjectionResult;

pub use projection::ProjectionBasisType;

pub use pspline::difference_matrix;

pub use pspline::pspline_evaluate;

pub use pspline::pspline_fit_1d;

pub use pspline::pspline_fit_gcv;

pub use pspline::PsplineFitResult;

Modules

auto_select

Automatic basis type and parameter selection.

basis_system

BasisSystem — a basis evaluation matrix bundled with its roughness penalty.

bspline

B-spline basis functions.

constant

Constant (intercept) basis function.

exponential

Exponential basis: B_j(t) = exp(rates[j] · t).

fourier

Fourier basis functions.

fourier_fit

Fourier basis fitting and GCV-based selection.

monomial

Monomial basis: B_j(t) = t^j for j = 0, 1, …, nbasis-1.

polygonal

Polygonal basis: piecewise-linear hat functions.

power

Power basis: B_j(t) = t^{exponents[j]} with general (possibly non-integer) exponents.

projection

Basis projection and reconstruction for functional data.

pspline

P-spline fitting and penalty (difference) matrices.