Not to say I believe what I'm saying, but just to enter the discussion, didn't the OP imply that he wanted to research whether it might be possible to write software that would learn artefacts with a view to removing them.
First, you have to understand the problem, and I don't think that this is a neural one at all. The reason that there are artefacts is because of what is removed - that's what causes the 'phasing/flanging' sound. So unless you can replace what's
missing, you can't stop the artefacts. All you can do is, in all probability, to make them worse. This is because you'd be adding something essentially incorrect to something essentially missing - compounding a felony.
Basically, the nasty noises aren't
added ones at all - they are a reaction between the louder sounding bands and the missing information in the masked ones. And this changes dynamically according to the content. For instance, on music where for periods some sounds don't change, a lot of data is slung out (
a la DCT), and the content of many bands is seriously depleted. But if the music suddenly has a lot of changing parts to it, far less is lost, which is why some parts of music suffer far more (when it's encoded at a low bit rate) than others. The other
ever-so-sight (!) problem with this is that not all encoders behave the same way. Think differences between LAME, Fraunhofer, etc. And bear in mind that the
only thing that's standardised is the replay, and you begin to get the idea... those different encoders
all have significantly different artefacts. So whatcha gonna do? The noise is, in principle, caused by the same thing that causes all that noise when you apply too much NR - which is of course why you can't improve the sound of an MP3 with that, either.
So basically, in an MP3 you are listening to a comb filter effect that moves in frequency, and which also causes variable amounts of content-related subtractive distortion, leaving no trace of what was removed. This is, of course, why they all sound bloody awful, especially at low bitrates.