Can you clear up whether you mean “there’s a paper that describes using neural nets” or “there’s an actual modern CPU that uses neural nets for branch brediction”?
I did some more searching and found an article at https://acad.ro/sectii2002/proceedings/doc2019-2/12-Vintan.p... which describes Samsung Galaxy S7 phones having these type of branch predictors as far back as 2016 and AMD CPUs having perceptron based branch predictors as far back as 2011. It was not officially known if Intel also uses neural networks in their chips, but the author of that paper "strongly believes" it does and I concur that it's unlikely they don't given that Samsung, Oracle, IBM, ARM and AMD all seem to use them.
[1] https://cdn.arstechnica.net/wp-content/uploads/sites/3/2016/...
This slide is about speculative execution not necessarily about branch prediction.