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Procedural-skill SFT across capacity tiers: A W-Shaped pr...
Igor Strozzi · 2026-05-13 · via cs.LG updates on arXiv.org

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Abstract:We measure procedural-skill SFT contribution across three Qwen3.5 dense scales (0.8B, 2B, 4B) on a 200-task / 40-skill holdout, with Claude Haiku 4.5 as a frontier reference. The corpus is 353 rows of (task + procedural-skill block, Opus chain-of-thought, judge-pass) demonstrations.
\textbf{Main finding.} Under matched-path LLM-only scoring, the SFT-attributable procedural-$\Delta$ lift is roughly uniform across sizes: $+0.070$ / $+0.040$ / $+0.075$ at 0.8B / 2B / 4B. Variation in post-SFT $\Delta$ ($-0.005$, $+0.100$, $+0.065$) is dominated by a W-shaped pre-SFT base trajectory ($-0.075$, $+0.060$, $-0.010$, Haiku-4-5 at $+0.030$): the 5-step procedure hurts 0.8B and 4B, helps 2B, and helps frontier Haiku modestly. SFT works hardest in absolute terms where the base struggles with the procedure -- a regime-asymmetric pattern with a falsifiable prediction at 8B/14B.
\textbf{Methodology.} (i) A bench format-compliance artifact: 83.5\% of the holdout uses a deterministic \texttt{ANSWER}-line extractor that under-counts free-form conclusions; an LLM-only re-judge reveals it was systematically biased against \CU. (ii) A negative-iteration sequence at 0.8B: five recipe variants cluster post-SFT \CU{} pass-rate within a 2\,pp band, constraining the absolute-pass-rate ceiling to base capacity rather than recipe.
\textbf{Cross-family validation.} GPT-5.4 via OpenRouter on all 7 configurations (2800 paired episodes) agrees on the direction of every per-student finding: Cohen's $\kappa \geq 0.754$, agreement $\geq 93.25\%$.
Earlier ``format-only at 0.8B'' and ``shrinking SFT at 4B'' framings were path-mismatch artifacts; this paper supersedes both (Appendix~\ref{sec:appendix-path}). Single-seed; threats in §\ref{sec:threats}.
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2605.11907 [cs.LG]
  (or arXiv:2605.11907v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2605.11907

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Igor Strozzi [view email]
[v1] Tue, 12 May 2026 10:19:33 UTC (73 KB)