unfold-methods: Tensor Unfolding

In rTensor: Tools for Tensor Analysis and Decomposition

Description

Unfolds the tensor into a matrix, with the modes in rs onto the rows and modes in cs onto the columns. Note that c(rs,cs) must have the same elements (order doesn't matter) as x@modes. Within the rows and columns, the order of the unfolding is determined by the order of the modes. This convention is consistent with Kolda and Bader (2009).

Usage

unfold(tnsr, row_idx, col_idx)

## S4 method for signature 'Tensor'
unfold(tnsr, row_idx = NULL, col_idx = NULL)

Arguments

tnsr	the Tensor instance
row_idx	the indices of the modes to map onto the row space
col_idx	the indices of the modes to map onto the column space

Details

For Row Space Unfolding or m-mode Unfolding, see rs_unfold-methods. For Column Space Unfolding or matvec, see cs_unfold-methods.

vec-methods returns the vectorization of the tensor.

unfold(tnsr,row_idx=NULL,col_idx=NULL)

Value

matrix with prod(row_idx) rows and prod(col_idx) columns

References

T. Kolda, B. Bader, "Tensor decomposition and applications". SIAM Applied Mathematics and Applications 2009.

See Also

k_unfold-methods and matvec-methods

Examples

tnsr <- rand_tensor()
matT3<-unfold(tnsr,row_idx=2,col_idx=c(3,1))

Example output

rTensor documentation built on May 15, 2021, 9:06 a.m.