Frobenius kernel

`Frobenius()` computes the Frobenius kernel between numeric matrices.

Usage

Frobenius(DATA, cos.norm = FALSE, feat_space = FALSE)

Arguments

DATA

A list of M matrices or data.frames containing only real numbers (class "integer", "float" or "double"). All matrices or data.frames should have the same number of rows and columns.

cos.norm

Should the resulting kernel matrix be cosine normalized? (Defaults: FALSE).

feat_space

If FALSE, only the kernel matrix is returned. Otherwise, the feature space is also returned. (Defaults: FALSE).

Value

Kernel matrix (dimension:NxN), or a list with the kernel matrix and the feature space.

Details

The Frobenius kernel is the same than the Frobenius inner product between matrices.

Examples

data1 <- matrix(rnorm(250000),ncol=500,nrow=500)
data2 <- matrix(rnorm(250000),ncol=500,nrow=500)
data3 <- matrix(rnorm(250000),ncol=500,nrow=500)

Frobenius(list(data1,data2,data3))
#>               [,1]        [,2]          [,3]
#> [1,] 250153.701922   -197.6619      2.945187
#> [2,]   -197.661925 249707.9675  -1017.169660
#> [3,]      2.945187  -1017.1697 249701.128325