kaal:claim:7598518-022

Claim. A validity filter judges whether an output is correct rather than whether it is rare, so where rare content is as checkable as common content such a filter can change rare composition only through the generator's own error profile, and if collapse proceeds by under-sampling rare modes no validity filter restores them, a reputation-weighted filter included.

Type. mechanism · Support. argued

Holds when

• The ceiling holds where rare content is as checkable as common content, which this design enforces by construction.
• The experiment therefore includes an oracle validity filter as a premise rather than as a result.

Source quote

A validity filter judges whether an output is correct, not whether it is rare. Where rare content is as checkable as common content, such a filter can change rare composition only through the generator's own error profile. If collapse proceeds by under-sampling rare modes, no validity filter restores them, and a reputation-weighted filter is no exception.

From. Wulf A. Kaal, Can Reputation Prevent Model Collapse? A Preregistered Test of Reputation-Weighted Data Filtering (2026). Full text.

Cite as. Wulf A. Kaal, Can Reputation Prevent Model Collapse? A Preregistered Test of Reputation-Weighted Data Filtering (2026). SSRN: https://ssrn.com/abstract=7598518

Verify. sha256 of source PDF cd22d148b2b55c2e27f087dcaa61cdf44ad7022b400b355c31a9cd7e43a31749 at https://wulfkaal.com/papers/7598518.pdf

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