How to multiply 2 tensors in R

This recipe helps you multiply 2 tensors in R

Recipe Objective - How to multiply 2 tensors in R?

Tensors are generally are generalization of vectors and matrices to an arbitrary number of dimensions(defined as "axis"). Tensors addition can be easily done using element wise operation.

Steps for multiplying tensors.

Step 1: Create a for loop and calculate tensor multiplication.

  tensor_multipli <- function(2, 5) {
  z <- rep(0, nrow(x))
  for (i in 1:nrow(x))
  for (j in 1:ncol(x))
  z[[i]] <- z[[i]] + x[[i, j]] * y[[j]]
  z
  }

The tensor multiplication is executed using for loop. Here, x is a 2D tensor that is a matrix and y is a 1D tensor that is a vector. Multiplication is done using "*" element operation. The multiplication of 2D tensor and 1D tensor is executed.

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