One thing I'm slightly worried about "machine learning" in compression rather than conventional everything-is-sines mathematical approaches is the possibility of odd nonlinear errors. Remember the photocopier that worked by OCR and would occasionally mis-transcribe numbers? I don't mind compressing a phoneme to as much as I would mind it compressing it to a clearly audible different phoneme.
That was perfectly ordinary compression?
The phenomenon is all over the place, most visible in autocorrect.