kaal:claim:7598518-023

Claim. The primary outcome caps each rare component's retained mass at its original level and averages over components, so that a component which dies counts as a loss and a component which grows cannot offset it.

Type. design · Support. stated

Holds when

• The cap responds to total rare-region mass behaving close to a martingale under resampling, where individual components drift and die while the aggregate stays near its starting value.
• Uncapped rare mass is reported beside the capped outcome, supports no claim, and shows only what the cap changed.

Source quote

The primary outcome therefore caps each rare component's retained mass at its original level and averages over components. A component that dies counts as a loss. A component that grows cannot offset it.

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

Content hash. bc8cd3cc0fdc7ce80e321d602a1714bd7354d0e52354d622a488ede0e91a50c7