Open
Description
Motivation
There is no way to represent functional data using a basis representation.
Desired functionality
Add a class BasisFunctionalData that have coef and basis parameters. The basis will be an element of Basis. The class should extend the FunctionalData class (like DenseFunctionalData and IrregularFunctionalData), such that, the MultivariateFunctionalData will work the same way. It will be necessary to reimplement the mean, covariance, ... functions.
These quantities can be found in Ramsay and Silverman (2005).
Alternatives
No response
Additional context
No response