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Data Quality Beats Scale Past a Point — hypothesis

Supplied working report; original verdicts not validated.

Review status: Needs review. This is an archival source note, not a passed proof.

hypothesis.md

# Data Quality Beats Scale Past a Point — hypothesis

**Source:** Incoprea Theory Volume VIII, Theory 067 / Information & Computation.

**Claim (verbatim):** "Beyond a threshold in dataset size, further improvement
comes from data quality rather than quantity, so a smaller curated dataset should
outperform a larger noisy one at equal compute."

**Predictions (verbatim):**
- P1 — Curated subsets should match larger noisy sets.
- P2 — Gains from volume should saturate.
- P3 — Quality metrics should predict performance past the threshold.

**Refutation (verbatim):** Continued gains from volume at controlled quality would
leave the scaling law intact.

**Pre-registered test.** Generate a synthetic classification task with a known
signal, then train a logistic classifier on (a) a small clean set and (b) a large
set with a swept label-noise rate. Compare held-out accuracy, sweep the noise
rate to find where the small clean set matches or beats the large noisy one, and
separately sweep volume at a fixed noise rate to show saturation.

**Fixed before running:** data-generating model and test set fixed; classifier
and training procedure fixed.

Included code and results