In geophysical inverse problems, the distribution of physical properties
in an Earth model is inferred from a set of measured data. A necessary
step is to select data that are best suited to the problem at hand. This
step is performed ahead of solving the inverse problem, generally on the
basis of expert knowledge. However, expert-opinion can introduce bias
based on pre-conceptions. Here we apply a trans-dimensional algorithm to
automatically weigh data on the basis of how consistent they are with
the fundamental assumptions made to solve the inverse problem. We
demonstrate this approach by inverting arrival times for the location of
a seismic source in an elastic half space, under the assumptions of a
point source and constant velocities. The key advantage is that the data
do no longer need to be selected by an expert, but they are assigned
varying weights during the inversion procedure.