Synthetic data feedback loops: has anyone built a metric for the "generations until collapse" threshold?
Been involved with Networks, Technology and recently last 3 years on AI Intelligence, Machine learning with AI Modeling. So I'm trying to operationalize something that gets talked about qualitatively but rarely quantified.
We know training on synthetic data introduces artifacts. We also know those artifacts compound over successive generations. But in practice, when teams mix synthetic data into pipelines, there's no standard way to answer: how many generations until this spirals?
I'm calling this the SynthSpiral threshold. The point where iterative synthetic training crosses from "useful augmentation" into "self-reinforcing distortion." The early signs are subtle—loss of tail-distribution coverage, increasing perplexity on rare tokens, syntactic patterns that no human would produce.
What I'd love to discuss:
- Has anyone built an internal metric or dashboard for this? Even a rough heuristic?
- What's the earliest detectable signal? I've been looking at token diversity decay curves, but they're noisy.
- Are any labs publishing on countermeasures beyond "keep a human-written holdout set"?
If no one's named this yet, I'm planting the flag with SynthSpiral. If someone has a better term or an existing metric, please point me to it—I'd rather not reinvent the wheel.
Any feedback would be awesome
Thank You