ttl: DelayedArray Times List

In rikenbit/DelayedTensor: R package for sparse and out-of-core arithmetic and decomposition of Tensor

DelayedArray Times List

Description

Contracted (m-Mode) product between a Tensor of arbitrary number of modes and a list of matrices. The result is folded back into Tensor.

Usage

ttl(darr, list_mat, ms=NULL)

Arguments

darr	DelayedArray object with K modes
list_mat	a list of 2D DelayedArray objects
ms	a vector of modes to contract on (order should match the order of list_mat)

Details

This function is an extension of the ttl by DelayedArray.

This is a wrapper function to unfold.

Performs ttm repeated for a single Tensor and a list of matrices on multiple modes. For instance, suppose we want to do multiply a Tensor object darr with three matrices mat1, mat2, mat3 on modes 1, 2, and 3. We could do ttm(ttm(ttm(darr,mat1,1),mat2,2),3), or we could do ttl(darr,list(mat1,mat2,mat3),c(1,2,3)). The order of the matrices in the list should obviously match the order of the modes. This is a common operation for various Tensor decompositions such as CP and Tucker. For the math on the m-Mode Product, see Kolda and Bader (2009).

Value

DelayedArray object with K modes (Tensor)

Note

The returned Tensor does not drop any modes equal to 1.

References

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

See Also

ttm

Examples

library("DelayedRandomArray")
darr <- RandomUnifArray(c(3,4,5))
dlizt <- list(
    'darr1' = RandomUnifArray(c(10,3)),
    'darr2' = RandomUnifArray(c(10,4)))
ttl(darr, dlizt, ms=c(1,2))

rikenbit/DelayedTensor documentation built on Jan. 30, 2023, 6:15 p.m.