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2026-07-05estimator forensics closed: cos ceiling = adjoint TRUNCATION + ↵Yuren Hao
SEMI-CONVERGENCE (not r, not anchor, not transients) Refutation chain: r-sweep flat (0.02-0.4); deep anchor (res 100x tighter) no gain; kappa brake monotonically harmful. t2sel window sweep at s2000: 40->80 lifts ALL batches (mean 0.889->0.936, truncation confirmed); past 80 SEMI-CONVERGENT (batch-dependent optimum; the inc-argmin t_best rule fails on rotating slow modes -> batch2 degrades 0.956->0.875 at 320). Early stopping IS the regularizer; iteration count = reg parameter. Shipping insight: holofast + sdpa + t2sel80 ~= old default wall-clock with cos 0.89->0.94. warm_fast (record) already ran t2sel=80 vs proven-scratch 40 — a real +0.05-cos hidden difference in the lineage table. Next lever: trend-aware stopping / t_best-neighborhood averaging. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_014FAPDWQ49M5Ye3NpTndTpn