5.7.2.6.5. scipy.special.pseudo_huber¶

scipy.special.pseudo_huber(delta, r) = <ufunc 'pseudo_huber'>¶

Pseudo-Huber loss function.

$$\mathrm{pseudo\_huber}(\delta, r) = \delta^2 \left( \sqrt{ 1 + \left( \frac{r}{\delta} \right)^2 } - 1 \right)$$

Parameters:	delta : ndarray Input array, indicating the soft quadratic vs. linear loss changepoint. r : ndarray Input array, possibly representing residuals.
Returns:	res : ndarray The computed Pseudo-Huber loss function values.

Notes

This function is convex in $r$.

New in version 0.15.0.