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
#> -12.2407  23.0458   2.8975  -6.9677   3.9015   1.8938  -0.3433
#>  -7.4472  14.6260   3.6509  -2.8358   5.9263  -0.0407   1.2311
#>  -9.6405  -5.4312   9.8422  27.1031  12.3670   9.2524   6.2635
#> [ CPUFloatType{3,7} ]