convergence-robustness-thresholds-cka-variance-prompt-sensitivity
IN premise — summaries/2026/08/24/convergence-without-understanding-2026-s6-limitations.md
Created 2026-08-24T17:10:52+00:00
The convergence study reports CKA variance < 0.008 and prompt sensitivity < 4% as robustness thresholds (Appendix B).
Summary
This sets two concrete stability benchmarks from a convergence experiment: the model's internal representations barely shift across runs (variance under 0.008) and rewording a prompt changes them by less than 4 percent. Anything above those numbers would signal that the model's internal structure is no longer stable enough to treat as a fixed reference point.