Earlier quoted context omitted.
I'm also curious. It seems like 6 months ago everyone was afraid of "model collapse" but now synthetic training generation and teacher models are all the rage. Have we solved the problem of model collapse?
Model collapse was basically a coping idea made up by artists who were hoping AI image generators would all magically destroy themselves at some point; I don't think it was ever considered likely to happen. It does seem to be true that clean data works better than low quality data.
Model collapse itself is(was?) a fairly serious research topic: https://arxiv.org/abs/2305.17493
We've by now reached a "probably not inevitable" - https://arxiv.org/abs/2404.01413 argues there's a finite upper bound to error - but I'd also point out that that paper assumes training data cardinality increases with the number of training generations and is strictly accumulative.
To a first order, that means you better have a pre-2022 dataset to get started, and have archived it well.
but it's probably fair to say current SOTA is still more or less "it's neither impossible nor inevitable".