**Figure 4:** A sample of 100 simulated functions. There are 50 self-modeling
versions of each g_{1} and g_{2} mixed into the dataset shown in the left pane
(a). The inferential problem is to separate the traces and simultaneously
estimate the underlying shape functions. The right pane (b) shows the same
dataset but colored according to the underlying groups (unknown in practice
but here the red and blue functions are self-modeling versions of g_{1} and
g_{2}, respectively). The different groups are simulated so that they do not
separate in groups based on height, width, or other functionals, but only
by shape. |