Stochastic hill climbing as a baseline method for evaluating genetic algorithms: http://papers.nips.cc/paper/1172-stochastic-hillclimbing-as-...
When will a genetic algorithm outperform hill climbing? http://web.cecs.pdx.edu/~mm/nips93.pdf
A GA being competitive with modern gradient based methods is very surprising to me.
Thing about evolutionary networks is that they can evolve topology, which usually is just a thing decided by people implementing NNs (and not guaranteed to be anywhere near most optimal). I don't see why given enough time GAs (or EAs) could not outperform simple backpropagation based on differentiating simple cost functions.
It's already happened. You are it.
Looking at current methods of optimizing neural networks we cannot know if we are far from the upper bound or if we've already reached it... R&D effort in this area could be a dead end.
The person I was replying to was also advocating the use of GAs to solve the antenna problem, which don't use gradient information either.