log

→Tensor

log(input: Tensor)

Element-wise natural logarithm.

Computes $\ln(x)$ for each entry. The input must be strictly positive; non-positive entries yield -inf or NaN.

inputTensor

Input tensor.

Tensor

Element-wise result with the same shape as input.

Mathematical definition:

\text{out}_i = \ln(\text{input}_i), \quad \text{input}_i > 0

Gradient: $\partial \text{out}/\partial \text{input} = 1/x$ .

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