we're not sure if the actual data exactly matches our reconstruction, but one of the authors pointed out to us that we can exactly reproduce their scaling law if we make the mistake they made when fitting it to the data
what they did was to take the mean of the loss values across datapoints instead of summing them and used L-BFGS-B with the default tolerance settings, so the optimizer terminated early, and we can reproduce their results with this same mistake
what they did was to take the mean of the loss values across datapoints instead of summing them and used L-BFGS-B with the default tolerance settings, so the optimizer terminated early, and we can reproduce their results with this same mistake
so our reconstruction appears to be good enough