Where is AMD substantially beating Nvidia on performance per price? This looks pretty well split, to me; their $299 cards are roughly equal in performance, for example.
I bought in August an RX 480 8GB for 219€. At the same time, the GTX 1060 6GB was still above 300€.
That’s where they beat NVIDIA on performance per price.
Sure, with that card I won’t get any nice performance in training or running my models, but compared to running on CPU, it’ll still be noticeable (and the large VRAM helps, too).
The Nvidia 960 isn't quite as good as the AMD 480, but it's cheaper. I think if you look at them across their lines, you don't see a consistent advantage in price/performance.
http://www.tomshardware.com/reviews/best-gpus,4380.html