prod

→Tensor

prod(x: Tensor, dim: _int | list[_int] | None = None, keepdim: _bool = False)

Compute the product of elements along dim.

The multiplicative analogue of sum. Reducing along dim produces a tensor whose entries equal the product of all values that were collapsed.

xTensor

Input tensor.

dimint or list of int= None

Dimension(s) to reduce. None reduces over the whole tensor.

keepdimbool= False

Keep reduced dims with size 1.

Tensor

Reduced tensor.

y \;=\; \prod_{i} x_i .

For numerical reasons, products of many small values are better computed via exp(sum(log(x))).

>>> import lucid
>>> x = lucid.tensor([1.0, 2.0, 3.0, 4.0])
>>> lucid.prod(x)
Tensor(24.)