Tensor Times Matrix (m-Mode Product)
Contracted (m-Mode) product between a Tensor of arbitrary number of modes and a matrix. The result is folded back into Tensor.
ttm(tnsr, mat, m = NULL)
tnsr |
Tensor object with K modes |
mat |
input matrix with same number columns as the |
m |
the mode to contract on |
By definition, rs_unfold(ttm(tnsr,mat),m) = mat%*%rs_unfold(tnsr,m), so 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).
a Tensor object with K modes
The mth mode of tnsr must match the number of columns in mat. By default, 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.
tnsr <- new("Tensor",3L,c(3L,4L,5L),data=runif(60))
mat <- matrix(runif(50),ncol=5)
ttm(tnsr,mat,m=3)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.