Update the description of the fitting in the fitpod doc

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exapde
2022-12-02 10:43:01 -05:00
parent 96c022d2d5
commit 6ef59196cf

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@ -694,11 +694,11 @@ found by solving the following least-squares problem
.. math::
{\min}_{\boldsymbol c \in \mathbb{R}^{M}} \ w_E \|\boldsymbol A(\boldsymbol \eta) \boldsymbol c - \bar{\boldsymbol E}^{\star} \|^2 + w_F \|\boldsymbol B(\boldsymbol \eta) \boldsymbol c + \boldsymbol F^{\star} \|^2,
{\min}_{\boldsymbol c \in \mathbb{R}^{M}} \ w_E \|\boldsymbol A(\boldsymbol \eta) \boldsymbol c - \bar{\boldsymbol E}^{\star} \|^2 + w_F \|\boldsymbol B(\boldsymbol \eta) \boldsymbol c + \boldsymbol F^{\star} \|^2 + w_R \|\boldsymbol c \|^2,
where :math:`w_E` and :math:`w_F` are weights for the energy
(*fitting_weight_energy*) and force (*fitting_weight_force*),
respectively. Here :math:`\bar{\boldsymbol E}^{\star} \in
respectively; and :math:`w_R` is the regularization parameter (*fitting_regularization_parameter*). Here :math:`\bar{\boldsymbol E}^{\star} \in
\mathbb{R}^{J}` is a vector of with entries :math:`\bar{E}^{\star}_j =
E^{\star}_j/N_j` and :math:`\boldsymbol F^{\star}` is a vector of
:math:`\mathcal{N}` entries obtained by stacking :math:`\{\boldsymbol