tensorregress (version 5.1)

ttm: Tensor Matrix Product (m-Mode Product)

Description

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

Usage

ttm(tnsr, mat, m = NULL)

Value

a Tensor object with K modes

Arguments

tnsr

Tensor object with K modes

mat

input matrix with same number columns as the mth mode of tnsr

m

the mode to contract on

Details

By definition, the number of columns in mat must match the mth mode of tnsr. For the math on the m-Mode Product, see Kolda and Bader (2009).

References

T. Kolda, B. Bader, "Tensor decomposition and applications". SIAM Applied Mathematics and Applications 2009, Vol. 51, No. 3 (September 2009), pp. 455-500. URL: https://www.jstor.org/stable/25662308

See Also

ttl

Examples

tnsr <- new('Tensor',3L,c(3L,4L,5L),data=runif(60))
mat <- matrix(runif(50),ncol=5)
ttm(tnsr,mat,m=3)