What is the definition of interference vs. noise in radio communication?
Interference is generated by other signals (in other circuits or, more likely, in the same circuit), so it's artificial noise. Also the signal itself can generate interference, for instance if there is a conflict between subsequent symbols, or not perfect matching on a transmission line.

Noise is everything that is not useful signal, so can be due to interference, temperature, impurities, gamma rays, moon phase or whatever.

So interference is noise but the inverse is not true.