.. _model-active_subspace-normalization-mean_gradient:

"""""""""""""
mean_gradient
"""""""""""""


Normalize by sample mean of gradient norms


.. toctree::
   :hidden:
   :maxdepth: 1



**Specification**

- *Alias:* None

- *Arguments:* None


**Description**


For each reponse function :math:`f_i` , normalize its gradient data by
the mean :math:`m_i`  of the gradient two-norms taken across samples :math:`j=1,...,J` :


.. math::  m_i = \frac{1}{J} \sum_{j=1}^{J}{\| \nabla^j f_i \|_2}