Inversion problem

SimPEG’s new inversion framework is targeted to solve deterministic inversion problems particularly in the field of geophysics. These are generally defined as an optimization problem in which we want to minimize a given objective function \(\phi(\mathbf{m})\) that depends on a model vector \(\mathbf{m}\) given certain conditions. Mathematically this can be expressed as:

\[\mathbf{m}^* = \min\limits_{\mathbf{m}} \phi(\mathbf{m})\]

where \(\mathbf{m}^*\) is the model that minimizes that objective function.

In order to set up this problem we’ll need two main pieces: the Objective function and the Minimizer.