Gina Kuperberg at Harvard has done extensive work on how predictive coding operates in language processing. Her lab has explored how people generate predictions during language comprehension and how this is reflected in neural activity.

https://projects.iq.harvard.edu/kuperberglab/people/gina-r-k...

Here's some relevant research:

https://projects.iq.harvard.edu/kuperberglab/publications/dy...

I'll point out that neuroscientists have yet to find the "generative grammar" part of the brain but have seen evidence of a very large network of neurons...