Facebook has not built any robot cars that can accelerate onto highways, so no. For innovation, Google is practically grad school in comparison to Facebook. [ I'm not sure if Facebook has invented or done anything new rather than just make small improvements. Google was founded on algorithmic invention. ]

As google tries to improve the semantic search capabilities of google bot, I wouldn't be surprised if they are investing heavily in AI research, they have the money to look at a lot of future tech.

Also how Google has scaled to the point of treating datacenter as server has been pretty revolutionary.