mKNN-trend-peaks-at-k-10

IN premise — summaries/2026/08/24/aristotelian-2026-sR-references-chunk-3.md

Created 2026-08-24T17:10:51+00:00

The calibrated mKNN scaling trend with model capability is strongest at k=10 and flattens by k=100, while CKA-RBF trend emerges at σ=0.5–2.0 but σ=0.1 yields no calibrated alignment

Summary

The evidence that larger models track some consistent capability signal is real but narrow: it shows up clearly at one specific scale (k=10) and fades at broader scales (k=100), and a related kernel-based measure only survives at a moderate range of parameters. In practice, this means the trend is sensitive to how you set up the measurement, so treating it as a stable, scale-independent fact about model capability would be overreaching.