simpeg.maps.LogisticSigmoidMap.inverse

LogisticSigmoidMap.inverse(m)

Apply the inverse of the mapping to an array.

For the logistic sigmoid mapping \(\mathbf{u}(\mathbf{m})\), the inverse mapping on a variable \(\mathbf{x}\) is performed by taking the log-odds of elements, i.e.:

\[\mathbf{m} = \mathbf{u}^{-1}(\mathbf{x}) = logit(\mathbf{x}) = \log \frac{\mathbf{x}}{1 - \mathbf{x}}\]

or scaled and translated to interval (a,b): .. math:

\mathbf{m} = logit(\frac{(\mathbf{x} - a)}{b-a})

Parameters:

mnumpy.ndarray

A set of input values

Returns:

numpy.ndarray

the inverse mapping to the elements in m; which in this case is the log-odds function with scaled and shifted input.