In optimization problems, randomness can often get you out of local minima/maxima, and so averaging out a bunch of random search paths might get you better resu

In optimization problems, randomness can often get you out of local minima/maxima, and so averaging out a bunch of random search paths might get you better results in the worst case. Something similar might be happening here. The training set will be biased in various ways that might create weird local min/max points and so this process could avoid those weird kinks.