| ttt {TRES} | R Documentation |
Matrix product of two tensors
Description
Matrix product of two tensors unfolded on the specified modes.
Usage
ttt(x, y, ms)
Arguments
x |
A tensor instance. |
y |
A tensor instance. |
ms |
The indices of the modes to compute on. A single value or a vector. |
Details
Suppose x is a s-way tensor with dimension p_1 \times \ldots \times p_s and y is a t-way tensor with dimension r_1 \times \ldots \times r_t. ms specifies the indices on which the tensors x and y are unfolded as columns. Thus, ms must be a subset of 1:min{s,t}. Meanwhile, the sizes of the dimensions specified by ms must match, e.g., if ms = 1:k where k <= min{s,t}, then p_1\times \ldots p_k = s_1\times \ldots s_k. Let X_0 and Y_0 denote the unfolded matrices, the matrix X_0 \times Y_0^T is returned. See Examples for a better illustration.
Value
Return the matrix product of tensors x and y.
Examples
x <- rTensor::as.tensor(array(runif(24), c(3, 4, 2)))
y <- rTensor::as.tensor(array(runif(24), c(3, 4, 2)))
z <- ttt(x, y, 1:2)