Chain_matmul

Usage

torch_chain_matmul(matrices)

Arguments

matrices: (Tensors...) a sequence of 2 or more 2-D tensors whose product is to be determined.

TEST

Returns the matrix product of the \(N\) 2-D tensors. This product is efficiently computed using the matrix chain order algorithm which selects the order in which incurs the lowest cost in terms of arithmetic operations ([CLRS]_). Note that since this is a function to compute the product, \(N\) needs to be greater than or equal to 2; if equal to 2 then a trivial matrix-matrix product is returned. If \(N\) is 1, then this is a no-op - the original matrix is returned as is.

Examples

if (torch_is_installed()) {

a = torch_randn(c(3, 4))
b = torch_randn(c(4, 5))
c = torch_randn(c(5, 6))
d = torch_randn(c(6, 7))
torch_chain_matmul(list(a, b, c, d))
}
#> torch_tensor
#>  16.6907  16.8339  -2.7730   5.8232  -6.7935  -8.3109  -2.3422
#>   6.5107   1.9628   3.4302 -11.1368 -14.3598  -9.0426   3.6788
#> -23.4347 -28.3631  10.5032 -23.5406   0.5954   5.2780   9.0183
#> [ CPUFloatType{3,7} ]