cosh

→Tensor

cosh(input: Tensor)

Element-wise hyperbolic cosine.

Computes $\cosh(x) = (e^{x} + e^{-x}) / 2$ for each entry. Always $\ge 1$ .

inputTensor

Input tensor.

Tensor

Element-wise result with the same shape as input.

Mathematical definition:

\text{out}_i = \cosh(x_i) = \frac{e^{x_i} + e^{-x_i}}{2}

Gradient: $\sinh(x)$ .

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

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