It didn’t get to train on the test set, if that’s what you’re implying, and I find it hard to believe the assertion that continuations are copies of the train set (if that’s your claim).
I guess in retrospect we asked it to continue the music in a likely way, not be novel. And it definitely convinced me enough to be impressive. An NN that composes completely fresh music, whatever that means (I’m sure most modern human music has a hefty dose of cross song sampling), would certainly be a good next goal post.
What's more interesting and concerning - listen carefully to the first piano continuation example from AudioLM, notice the similarity of the last 7 seconds to Moonlight sonata: https://youtu.be/4Tr0otuiQuU?t=516
I'm afraid we will see a lot of this with music generation models in the near future.
Having said that, I think the idea of predicting popularity is good - we can use it for filtering already generated chunks during post-training evaluation phase.
I don't think the other two methods you suggest would help here, we want to generate while conditioning on famous pieces, and we don't want to increase temperature if we want to generate conservative, but still high quality pieces.
It's true that we (humans) are less sensitive to plagiarism in the text output, but even for LLMs it is a problem when it tries to generate something highly creative, such as poetry. I personally noticed multiple times a particular beautiful poetry phrases generated by GPT-2 only to google it and find out they were copied verbatim from a human poem.
Another similar possibility might be to do more RL with this data, e.g. using upside-down RL. One can possibly steer this with user feedback as well.