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.

Structs

BasisAutoSelectionResult

Result of automatic basis selection for all curves.

BasisProjectionResult

Result of basis projection.

FourierFitResult

Result of Fourier basis fitting.

PsplineFitResult

Result of P-spline fitting.

SingleCurveSelection

Result of automatic basis selection for a single curve.

Functions

basis_to_fdata_1d

Reconstruct functional data from basis coefficients.

bspline_basis

Compute B-spline basis matrix for given knots and grid points.

difference_matrix

Compute difference matrix for P-spline penalty.

fdata_to_basis_1d

Project functional data to basis coefficients.

fourier_basis

Compute Fourier basis matrix.

fourier_basis_with_period

Compute Fourier basis matrix with explicit period.

fourier_fit_1d

Fit Fourier basis to functional data using least squares.

pspline_fit_1d

Fit P-splines to functional data.

select_basis_auto_1d

Select optimal basis type and parameters for each curve individually.

select_fourier_nbasis_gcv

Select optimal number of Fourier basis functions using GCV.