gen_data_reg <- function( size, P, n.var, alpha, beta, sigma=0.1){
nclass <- length(class)
data <- list()
for( i in 1:n.var){
grid <- seq(0, 1, length.out = P)
Cov <- exp_cov_function(grid, alpha = alpha[1,i], beta = beta[1,i])
Data <- generate_gauss_fdata(size[1],
centerline = ((2-5*grid)/2)*((5*grid-2)/2)^2+ sin(5*pi*grid/2), Cov = Cov)
fD1 <- fData( grid, Data )
Cov <- exp_cov_function(grid, alpha=alpha[2,i], beta=beta[2,i])
Data <- generate_gauss_fdata(size[2],
centerline = -((2-5*grid)/2)*((5*grid-2)/2)^2+ sin(5*pi*grid/2), Cov = Cov)
fD2 <- fData( grid, Data )
Cov <- exp_cov_function(grid, alpha=alpha[3,i], beta=beta[3,i])
Data <- generate_gauss_fdata(size[3],
centerline = cos(2*pi*grid), Cov = Cov)
fD3 <- fData( grid, Data )
Cov <- exp_cov_function(grid, alpha=alpha[4,i], beta=beta[4,i])
Data <- generate_gauss_fdata(size[4],
centerline = -cos(2*pi*grid), Cov = Cov)
fD4 <- fData( grid, Data )
eps1 <- matrix(rnorm(P*size[1], mean = 0, sd = sigma),
nrow = size[1], ncol = P)
eps2 <- matrix(rnorm(P*size[2], mean = 0, sd = sigma),
nrow = size[2], ncol = P)
eps3 <- matrix(rnorm(P*size[3], mean = 0, sd = sigma),
nrow = size[3], ncol = P)
eps4 <- matrix(rnorm(P*size[4], mean = 0, sd = sigma),
nrow = size[4], ncol = P)
k1 <- fD1$values + eps1
k2 <- fD2$values + eps2
k3 <- fD3$values + eps3
k4 <- fD4$values + eps4
k <- rbind(k1,k2,k3,k4)
data[[paste("V",i,sep="")]] <- fdata(k)
data[["Y"]] <- c(rnorm(50,-10,3),rnorm(50,10,3),rnorm(50,15,5),rnorm(50,-15,5))
}
return(data)
}
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