Regular Data Class

The rdClass class denotes an element of regular data.

• Data objects are constructed with observations in rows and variables in columns.

• The smoothing parameter is automatically set to zero (no smoothing).

• Users can assign sparsity parameters only!

• No grid points are involved in rdClass objects.

Usage

rdClass(data, Sparsity_parameter = 0)

Arguments

data

A matrix representing the data, with rows indicating observations and columns representing variables.

Sparsity_parameter

• A fixed number representing the level of sparsity for columns, or a vector of numerical values that will undergo cross-validation (CV) to determine the optimal value.

• For no sparsity, set it to 0.

• If NULL, the sparsity parameter will be tuned automatically.

Examples

# Example for Regular Data (rd)
rd_data <- matrix(rnorm(100), nrow = 10, ncol = 10)  # 10 rows, 10 columns
rd_object <- rdClass(data = rd_data,
                     Sparsity_parameter = 3)  # Custom sparsity parameter

# Display the created rd object
print(rd_object)
#> Regular Data (rdClass) Object
#> -----------------------------------
#> Dimensions: 10 x 10
#> Sparsity Parameter: 3 
#> -----------------------------------
#> First few rows and columns of the data:
#>                V1         V2         V3          V4          V5
#> [1,]  0.042869041 -1.9192325  0.9713965 -0.24131172  0.07365823
#> [2,] -0.008866413 -1.5342664 -0.5796630  0.82415583  0.35723614
#> [3,] -2.949083784 -1.1147612  1.6041798 -1.55564397  0.55042842
#> [4,]  0.020358254  1.5978116  0.2259733  0.09350128  0.03840179
#> [5,] -0.098446980 -0.6398051 -0.5148571 -0.36694942 -1.60957529
print(attr(rd_object, "Sparsity_parameter"))  # Display sparsity parameter
#> [1] 3