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
#>  9.7032 -3.9031  8.2009 -6.7974 -2.5647 -1.9220 -6.2139
#>  5.9722 -12.9868  7.8285 -2.6556 -9.8072  0.3781  1.8379
#> -2.0467  4.2903 -3.9836 -0.3439  3.8486 -0.0805 -0.2112
#> [ CPUFloatType{3,7} ]