basismfd: Define a Set of Multidimensional Functional Basis

In ReMFPCA: Regularized Multivariate Functional Principal Component Analysis

Define a Set of Multidimensional Functional Basis

Description

The 'basismfd' class represents a set of multidimensional basis functions. This class utilizes basis objects from the 'fda' package, such as B-splines and Fourier bases.

Constructor for 'basismfd' objects (same as Basismfd(...) )

Usage

Basismfd(...)

Basismfd(...)

Arguments

...	A list of 'basisfd' objects

Active bindings

basis

A list of basis objects from the 'fda' package.

dimSupp

The dimension of the support domain of the 'basismfd' object.

supp

The matrix representing the ranges of the dimensions.

gram

The Gram matrix.

nbasis

A numeric vector containing the number of bases.

Methods

Public methods

• basismfd$new()

• basismfd$eval()

• basismfd$print()

• basismfd$clone()

---

Method new()

The constructor function for objects of the class 'basismfd' (same as Basismfd(...) )

Usage

basismfd$new(...)

Arguments

...

A list of 'basisfd' objects

---

Method eval()

Evaluate the 'basismfd' object at given argument values

Usage

basismfd$eval(evalarg)

Arguments

evalarg

A list of numeric vectors of argument values at which the 'basismfd' is to be evaluated

Returns

A list of evaluated values

---

Method print()

Print method for 'basismfd' objects

Usage

basismfd$print(...)

Arguments

...

Additional arguments to be passed to 'print' Getter and setter for 'basis' field Getter and setter for 'dimSupp' field Getter and setter for 'nbasis' field Getter and setter for 'supp' field Getter and setter for 'gram' field

---

Method clone()

The objects of this class are cloneable with this method.

Usage

basismfd$clone(deep = FALSE)

Arguments

deep

Whether to make a deep clone.

Examples

require(fda)
bs1 <- create.fourier.basis(c(0, 2 * pi), 5)
bs2 <- create.bspline.basis(c(0, 1), 7)
bs3 <- create.exponential.basis(c(0, 2), 3)
# 1-D Basis ######## (similar to the fd features)
mdbs1 <- Basismfd(bs1)
mdbs1$basis
mdbs1$dimSupp
mdbs1$nbasis
mdbs1$supp
mdbs1$gram
mdbs1$eval(1:7 / 10)
image(as.matrix(mdbs1$gram))

####### 2-D Basis ######## (fd cannot handle this)
mdbs2 <- Basismfd(bs1, bs2)
mdbs2$basis
mdbs2$dimSupp
mdbs2$nbasis
mdbs2$supp
dim(mdbs2$gram)
arg_mdbs <- list(1:10, 1:9 / 10)
mdbs2$eval(arg_mdbs)
image(as.matrix(mdbs2$gram))

ReMFPCA documentation built on April 12, 2025, 9:11 a.m.