Not yet. It's still early days.
> What other approaches exist?
Loosely speaking, I'd say this entire discussion falls into the general rubric of what people are calling "neuro-symbolic AI". Now within that there are a lot of different ways to try and combine different modalities. There are things like DeepProbLog, LogicTensorNetworks, etc.
For anybody who wants to learn more, consider starting with:
https://en.wikipedia.org/wiki/Neuro-symbolic_AI
and the videos from the previous two "Neurosymbolic Summer School" events: