log1p

→Tensor

log1p(input: Tensor)

Element-wise natural logarithm of 1 + x.

Numerically accurate for small x where log(1 + x) loses precision.

inputTensor

Input tensor.

Tensor

Element-wise result with the same shape as input.

Mathematical definition:

\text{out}_i = \ln(1 + \text{input}_i), \quad \text{input}_i > -1

Gradient: $1 / (1 + x)$ . Preferred over log(1 + x) near zero.

>>> import lucid
>>> x = lucid.tensor([1.0, 2.0, 3.0])
>>> lucid.log1p(x)
Tensor([...])