ttl | R Documentation |

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

ttl(darr, list_mat, ms=NULL)

`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 |

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).

DelayedArray object with K modes (Tensor)

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

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

`ttm`

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))

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