absolute

→Tensor

absolute(x: Tensor)

Element-wise absolute value.

Verbose alias of lucid.abs, exposed for parity with reference frameworks that publish both abs and absolute spellings of the same operation.

xTensor

Input tensor. Any numeric dtype.

Tensor

Tensor of the same shape and dtype as x containing $|x_i|$ element-wise.

Mathematical definition:

\text{out}_i = |x_i|

The gradient is $\operatorname{sign}(x_i)$ ; the sub-gradient at $x_i = 0$ is conventionally taken to be 0.

>>> import lucid
>>> x = lucid.tensor([-1.5, 0.0, 2.0])
>>> lucid.absolute(x)
Tensor([1.5, 0., 2.])