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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
#>  -1.4989   0.6183  -1.8391   4.4268   0.4675  -1.2950  -3.9240
#> -13.5784 -27.3879   6.3002   3.1658   3.0611  -3.1922  -5.3944
#> -11.1387 -14.3907   5.3606   5.4769  14.9163   6.3183  -0.8756
#> [ CPUFloatType{3,7} ]