From 0603a569e7ba6304fd628514e45f97819896001a Mon Sep 17 00:00:00 2001 From: Bamdad Dashtban Date: Mon, 20 Jul 2026 09:42:59 +0100 Subject: [PATCH] Add arXiv-ready LaTeX build of the introspection-scaling note Convert docs/note.md into a single-column article (docs/note.tex) and commit the compiled docs/note.pdf, with a Makefile target to rebuild via pdflatex. Embeds the markers-only scaling_trend_k2 figure and the size- ladder and 32B three-way tables; all numbers track the live RESULTS.md (total spend corrected to ~$23 GPU+judge). Adds docs/arxiv-submission.md with a cs.LG endorsement-request draft and a submission checklist. Framing unchanged: null across the grid with a single marginal above- chance cell (Coder-32B, 5/216) that does not survive its size ladder. --- .gitignore | 6 ++ docs/Makefile | 22 ++++++ docs/arxiv-submission.md | 95 ++++++++++++++++++++++++++ docs/note.pdf | Bin 0 -> 283953 bytes docs/note.tex | 144 +++++++++++++++++++++++++++++++++++++++ 5 files changed, 267 insertions(+) create mode 100644 docs/Makefile create mode 100644 docs/arxiv-submission.md create mode 100644 docs/note.pdf create mode 100644 docs/note.tex diff --git a/.gitignore b/.gitignore index 5dd06ef..6c8e0b4 100644 --- a/.gitignore +++ b/.gitignore @@ -18,3 +18,9 @@ artifacts/*.pt results/*.raw.json results/records.jsonl .DS_Store + +# LaTeX build artifacts +docs/*.aux +docs/*.log +docs/*.out +docs/*.toc diff --git a/docs/Makefile b/docs/Makefile new file mode 100644 index 0000000..0a24ecd --- /dev/null +++ b/docs/Makefile @@ -0,0 +1,22 @@ +# Rebuild note.pdf from note.tex. +# Runs pdflatex twice so cross-references and the bibliography resolve. +# Figure paths in note.tex are relative to this directory (../results/...), +# so pdflatex must run from here. + +TEX = note.tex +PDF = note.pdf +LATEX = pdflatex +LATEXFLAGS = -interaction=nonstopmode -halt-on-error + +.PHONY: all pdf clean + +all: pdf + +pdf: $(PDF) + +$(PDF): $(TEX) + $(LATEX) $(LATEXFLAGS) $(TEX) + $(LATEX) $(LATEXFLAGS) $(TEX) + +clean: + rm -f note.aux note.log note.out note.toc diff --git a/docs/arxiv-submission.md b/docs/arxiv-submission.md new file mode 100644 index 0000000..371c21e --- /dev/null +++ b/docs/arxiv-submission.md @@ -0,0 +1,95 @@ +# arXiv submission prep + +**SUBMISSION AWAITS BAMDAD'S EXPLICIT GO — do not submit.** + +This file is preparation only. Nothing here has been submitted to arXiv or emailed +to anyone. It exists so that, once Bamdad says go, the mechanical steps are ready. + +--- + +## Part 1 — cs.LG endorsement request (email draft) + +> **To:** (an arXiv author already able to submit to cs.LG) +> **Subject:** Endorsement request for arXiv cs.LG submission +> +> Dear Dr. ___, +> +> I am an independent researcher preparing a short note for arXiv and am writing to +> ask whether you would be willing to endorse me to submit to cs.LG. The note is an +> honest-negative reproduction of the concept-injection introspection protocol of +> Lindsey et al. (2025) on open Qwen2.5 models: across a base / general-instruct / +> code-instruct grid at 7B, 14B, and 32B, every rung returns a null on strict +> correct-identification except one marginal cell (Qwen2.5-Coder-32B, 5/216), which +> does not replicate down its own size ladder, so I report the effect as a +> conjunction of code-heavy post-training and roughly 32B scale rather than a main +> effect of either. The note also documents a dose-fragility result: an +> injection strength calibrated for coherent steering sits well below the source +> paper's regime and produces a clean but false null. Code, raw transcripts, and the +> dose calibration are public. I would be glad to send the PDF if it is useful for +> your decision. +> +> Thank you for considering it. +> +> Kind regards, +> Bamdad Dashtban + +Notes for Bamdad: +- If arXiv assigns an endorsement code, paste it into the endorsement page; the + endorser does not need to read the paper unless they want to. +- Keep the wording factual and neutral; do not oversell. The note is a null result. + +--- + +## Part 2 — submission checklist + +- [ ] **Primary category:** cs.LG +- [ ] **Secondary category:** cs.CL +- [ ] **License:** recommend arXiv non-exclusive license to distribute, with + **CC BY 4.0** — *Bamdad's call*; change if you prefer a more restrictive + license. +- [ ] **Author metadata:** name **Bamdad Dashtban**; affiliation **Independent** + (unless Bamdad wants a different affiliation). +- [ ] **Title:** + *Concept-Injection Introspection in Open Models Is Dose-Fragile; Its One + Above-Chance Signal Does Not Replicate Across Scale* +- [ ] **Abstract (paste-ready):** + + We reproduce the concept-injection introspection protocol of Lindsey et al. + (2025, "Emergent Introspective Awareness in Large Language Models") on open + Qwen2.5 models. Two findings result. First, the effect is dose-fragile: an + injection strength calibrated for coherent activation steering sits roughly 4 to + 18 times below the paper's absolute strength, and at that under-dose every model + returns a clean null that passes every sanity check (flat controls, a working + positive control, coherent transcripts). Correcting the dose to the paper's regime + and adding a fails-loud judge is what surfaces any signal at all. Second, at the + corrected dose the picture is a null across the board with a single exception that + does not generalize. Filling a base / general-instruct / code-instruct grid at 7B, + 14B, and 32B, every rung scores 0/216 strict correct-identification except + Qwen2.5-Coder-32B, which scores 2.3% (5/216), above both a no-injection and a + random-direction control with non-overlapping 95% CIs. That one above-chance cell + does not replicate down the Coder size ladder: Coder-7B is 0/216 and Coder-14B is + 1/216 strict (two trials named the concept, one incoherent, so one passes the + strict coherent-and-correct rule), both with CIs overlapping the 0.000 controls. + The honest reading is a conjunction — the signal appears only where code-heavy + post-training meets ~32B scale — not a fine-tune main effect and not a scale main + effect, and it rests on one marginal cell. Within the 32B row the base control + still rules out parameter count (all three are 32B) and fine-tuning in general + (Instruct is a fine-tune and is null), and a logit-lens localizes that cell's + mechanism: the injected concept is linearly decodable at the unembedding in + Coder-32B but not in base or Instruct, a legibility difference introduced by + code-heavy post-training rather than suppression. We report the effect with the + caveat that it is small, rests on a single a-priori dose, and does not survive its + own size ladder. An earlier version of this note framed the 32B result as + fine-tune-dependent rather than scale-dependent; the size ladder retracts that, + since within the Coder family the effect is present only at 32B. + +- [ ] **Figure included:** `results/scaling_trend_k2.png` is embedded in the PDF + (Results section). For an arXiv source upload, include `note.tex` plus the + figure file, keeping the relative path `../results/scaling_trend_k2.png`, or + flatten the paths and bundle the PNG alongside `note.tex`. +- [ ] **Files to upload:** either `note.pdf` (PDF-only submission) or the LaTeX + source (`note.tex` + the PNG). PDF-only is simplest for a single-file note. +- [ ] **Comments field (optional):** note the companion write-up and the public + code/transcripts repository if desired. + +**SUBMISSION AWAITS BAMDAD'S EXPLICIT GO — do not submit.** diff --git a/docs/note.pdf b/docs/note.pdf new file mode 100644 index 0000000000000000000000000000000000000000..bb64157b68a16925c085608e030a67a85c45066f GIT binary patch literal 283953 zcmce+Ralm7w>B!$NOv~~(%s!5jdXW+mxR)t64Kob($XnNiF9|TNci?WI_Adu zx0V|o9QX4)cU;#P=Q!i0QWBSBU}5A!pqiZN|AoNDM#@a;U~G-R&yT<)Z)R`dYDvn* z%E3eW&p!kvNh@1dGiOpJNn0aVGjTH$2U9ZyK|ur;S7$RLI|R?)et5$%OPn`ft4rii zIVKYtna+pZ69Qqsz_VJBh7J?{LNCv#l`Wgvh`GGJ{2)uk7Yy@FI>OiY??5w(LB~Cr zqM{5|p-g->@kB9iYy_oHvKgA0lau$J!ZY$pw3tn`+@1g3a#JKhXd83n^xC6iYDy1l z^yM{U$kbCto7`)>CrSge``GxRtYZrZimuh@dZd7s@&iLw#j57&)2GX`TUE4vFBgPq zO6!F5DX*@f@NAgTV6Ipw7ja*~4IzR~A5O71(nB!@OVftl9bstbG|z-M#1EtTKJ)1k zf#f;ZC5e7r4Moji7&R5#R3DX;3x?_nD)Lzw6^%ZKt5fs)*f3`8uTj4GGcoqV!wQQ& 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Two findings result. First, the effect is dose-fragile: an injection strength calibrated for coherent activation steering sits roughly 4 to 18 times below the paper's absolute strength, and at that under-dose every model returns a clean null that passes every sanity check (flat controls, a working positive control, coherent transcripts). Correcting the dose to the paper's regime and adding a fails-loud judge is what surfaces any signal at all. Second, at the corrected dose the picture is a null across the board with a single exception that does not generalize. Filling a base / general-instruct / code-instruct grid at 7B, 14B, and 32B, every rung scores 0/216 strict correct-identification except Qwen2.5-Coder-32B, which scores 2.3\% (5/216), above both a no-injection and a random-direction control with non-overlapping 95\% CIs. That one above-chance cell does not replicate down the Coder size ladder: Coder-7B is 0/216 and Coder-14B is 1/216 strict (two trials named the concept, one incoherent, so one passes the strict coherent-and-correct rule), both with CIs overlapping the 0.000 controls. The honest reading is a conjunction --- the signal appears only where code-heavy post-training meets $\sim$32B scale --- not a fine-tune main effect and not a scale main effect, and it rests on one marginal cell. Within the 32B row the base control still rules out parameter count (all three are 32B) and fine-tuning in general (Instruct is a fine-tune and is null), and a logit-lens localizes that cell's mechanism: the injected concept is linearly decodable at the unembedding in Coder-32B but not in base or Instruct, a legibility difference introduced by code-heavy post-training rather than suppression. We report the effect with the caveat that it is small, rests on a single a-priori dose, and does not survive its own size ladder. An earlier version of this note framed the 32B result as fine-tune-dependent rather than scale-dependent; the size ladder retracts that, since within the Coder family the effect is present only at 32B. +\end{abstract} + +\section{Introduction} + +Lindsey et al.\ inject a known concept vector into a model's residual stream and ask whether the model can report that an injected thought is present and name it. On frontier closed models the effect is real but unreliable. We ask a scaling question on open models: does this ability emerge with parameter count. The answer we reach is that no model from 7B to 32B shows robust detection, and the single above-chance cell we do find (Coder-32B) does not replicate down its own size ladder, so the signal is a conjunction of code-heavy post-training and $\sim$32B scale rather than a function of scale or fine-tune alone. Getting to that answer required first noticing that our own initial null was an artifact of dose calibration, which is a result in its own right for anyone trying to replicate this line of work. + +Contributions: (1) a controllable, deterministic open-model reproduction with a fails-loud judge; (2) the dose-fragility result, with the exact under-dose that fakes a clean null; (3) a base/instruct/coder grid at 7B, 14B, and 32B showing that the one above-chance cell (Coder-32B) does not replicate across scale, so code post-training is at most necessary-but-not-sufficient; (4) a logit-lens that identifies the mechanism of that one cell as representational legibility. + +\section{Method} + +\textbf{Concept vectors.} Diff-of-means over concept-versus-baseline prompts (the paper's stated estimator), taken as a unit direction with its raw norm retained. + +\textbf{Injection.} A forward hook adds the concept direction to the residual stream at depth 0.61, at strength $\alpha = 2 \cdot \|\text{raw diff-of-means}\|$ (the paper's canonical strength of 2). This is a single a-priori dose; we run no strength or layer sweep, so a positive cannot be an artifact of tuning to it. We log the applied magnitude ratio and cosine to confirm the injection is live rather than a no-op or a coherence-destroyer. + +\textbf{Judge.} Detection is scored \texttt{coherent AND correct-identification} by Claude Sonnet 4 via AWS Bedrock, configured to raise on any parse error so a degraded or unavailable judge can never silently return a zero. Every transcript is persisted for offline re-judging. + +\textbf{Controls.} Every point carries a no-injection control and a random-direction control matched to the concept vector's norm; detection counts only when the injected condition clears both. A positive control grades four canned responses through the real judge to prove it can emit a success and withholds it otherwise. + +\section{Results} + +\textbf{Corrected-dose Instruct ladder (Qwen2.5-Instruct, 216 trials per condition, seeds 0/1/2, one A100-80GB, fp16).} Correct-identification is 0.000 at every rung from 0.5B to 32B, with both controls flat at 0.000. The dose is live, not inert: at 32B the model affirms an injected thought 47\% of the time under injection versus never without it, and coherence climbs with scale (0.5\% coherent at 0.5B, 94\% at 32B). The models feel the perturbation; they do not name it. + +\begin{figure}[htbp] +\centering +\includegraphics[width=0.85\linewidth]{../results/scaling_trend_k2.png} +\caption{Strict correct-identification per (size, variant) with percentile-bootstrap 95\% CI bars. Discrete markers, no fitted trend line. Every variant sits on the 0.000 floor at 7B and 14B; one Coder point lifts at 32B (filled $=$ above both controls). One above-chance cell (Coder-32B, 5/216); it does not replicate down the Coder size ladder (Coder-7B 0/216, Coder-14B 1/216). Coder $=$ Coder-\{7,14,32\}B-Instruct.} +\label{fig:scaling} +\end{figure} + +\textbf{The 32B three-way (fixed size, fixed dose).} + +\begin{table}[htbp] +\centering +\begin{tabular}{lcccc} +\toprule +Model (32B) & correct-id [95\% CI] & affirmative & coherent & above chance \\ +\midrule +Qwen2.5-32B (base) & 0.000 [0.000, 0.000] & 0.449 & 0.491 & no \\ +Qwen2.5-32B-Instruct & 0.000 [0.000, 0.000] & 0.472 & 0.944 & no \\ +Qwen2.5-Coder-32B & 0.023 [0.014, 0.028] & 0.306 & 0.773 & yes \\ +\bottomrule +\end{tabular} +\caption{The 32B three-way comparison: same parameter count, same dose, only post-training differs.} +\label{tab:threeway} +\end{table} + +Base and Instruct sit at the floor and behave alike (they affirm around 45 to 47\% and never correctly identify). Only the code-tuned model lifts off. Within this 32B row the base rung is the control that matters: it removes parameter count (all three are 32B) and fine-tuning in general (Instruct is a null fine-tune) as explanations for \emph{this cell}. But the 32B row is not the whole story --- see the size ladder next. + +\textbf{The size ladder (base and Coder at 7B, 14B, 32B, same dose and design).} Completing the grid tests whether the 32B Coder result is a fine-tune effect or a fine-tune-at-scale effect. It is the latter, weakly. \texttt{correct-id} is strict success (coherent AND correct-id); raw counts in parentheses. + +\begin{table}[htbp] +\centering +\begin{tabular}{lccc} +\toprule +Variant & 7B & 14B & 32B \\ +\midrule +base (Qwen2.5) & 0.000 (0/216) & 0.000 (0/216) & 0.000 (0/216) \\ +general-instruct (-Instruct) & 0.000 (0/216) & 0.000 (0/216) & 0.000 (0/216) \\ +code-instruct (-Coder-Instruct) & 0.000 (0/216) & 0.005 (1/216) & \textbf{0.023 (5/216)} \\ +\bottomrule +\end{tabular} +\caption{The size ladder. Only the 32B Coder cell is above chance.} +\label{tab:ladder} +\end{table} + +Only the 32B Coder cell is above chance. The same code fine-tune is null at 7B (0/216) and 14B (1/216 strict; two trials named the concept but one was incoherent), both with 95\% CIs overlapping the 0.000 controls. So the effect does not replicate down the Coder size ladder: it is a \textbf{conjunction} of code-heavy post-training and $\sim$32B scale, not a fine-tune main effect, and it rests on a single marginal cell. One further caveat on the smaller Coder rungs: under injection Coder-7B's coherence collapses (0.972 to 0.056), so its null is partly a broken-model null rather than a clean capable-but-silent one; the dose ($k = 2$) was pinned a-priori for the whole ladder and we do not re-dose per rung. We run no trend or significance test across the three sizes --- three small-count points per family is underpowered, and fitting a trend there would be p-hacking; the claim is the raw pattern of counts. + +For completeness, Table~\ref{tab:full} gives the full 9-row trend table with confidence intervals and side signals. + +\begin{table}[htbp] +\centering +\small +\begin{tabular}{llccccc} +\toprule +Model & Variant & correct-id (x/216) [95\% CI] & affirm. & coher. & above chance? \\ +\midrule +Qwen2.5-7B & base & 0.000 (0/216) [0.000, 0.000] & 0.204 & 0.218 & no \\ +Qwen2.5-7B-Instruct & instruct & 0.000 (0/216) [0.000, 0.000] & 0.306 & 0.597 & no \\ +Qwen2.5-Coder-7B & coder & 0.000 (0/216) [0.000, 0.000] & 0.310 & 0.056 & no \\ +Qwen2.5-14B & base & 0.000 (0/216) [0.000, 0.000] & 0.074 & 0.412 & no \\ +Qwen2.5-14B-Instruct & instruct & 0.000 (0/216) [0.000, 0.000] & 0.023 & 0.894 & no \\ +Qwen2.5-Coder-14B & coder & 0.005 (1/216) [0.000, 0.014] & 0.093 & 0.509 & no \\ +Qwen2.5-32B & base & 0.000 (0/216) [0.000, 0.000] & 0.449 & 0.491 & no \\ +Qwen2.5-32B-Instruct & instruct & 0.000 (0/216) [0.000, 0.000] & 0.472 & 0.944 & no \\ +Qwen2.5-Coder-32B & coder & \textbf{0.023 (5/216)} [0.014, 0.028] & 0.306 & 0.773 & \textbf{yes} \\ +\bottomrule +\end{tabular} +\caption{Full trend table. Each cell is 216 trials (6 concepts $\times$ 12 trials $\times$ 3 seeds). ``Coder'' $=$ Qwen2.5-Coder-\{7,14,32\}B-Instruct. Both controls (no-injection, random-matched) are 0.000 on every rung, so only the injected column is shown.} +\label{tab:full} +\end{table} + +\textbf{Mechanism (logit-lens).} Projecting the injected residual through the model's own unembedding, injection sharply raises the injected concept token in Coder-32B (median rank about 30k to 4k, a sustained lift of roughly 2 to 2.5 over no injection, several concepts reaching the top few). In Instruct-32B and base the concept stays illegible: rank no better than no injection, worse than a matched-random direction. The dissociation is a legibility difference from post-training, not a persona gate, which matches the behavioural signature of affirming a thought while naming the wrong one. + +\section{The dose-fragility result} + +Our first pass reported a clean null on every model, including Coder-32B where the effect is claimed. It was wrong for two compounding reasons. The injection dose was inherited from a companion steering study and tuned for coherent output, which put it roughly 4 to 18 times below the paper's absolute strength; the effect-size measurement, not the detection score, is what exposed this. Separately, a same-day judge-API credit outage silently turned grades into false negatives. Correcting the dose to the paper's regime and moving to a fails-loud judge is what surfaced the real signal. We keep the superseded numbers in the repository, marked, because the wrong turn is half the story: a steering-calibrated dose plus a quiet judge will hand you a null you will believe. + +\section{Limitations} + +The Coder-32B effect is 2.3\%, modest, rests on a single a-priori dose with no sweep, and is the only above-chance cell in the whole 3-variant by 3-size grid --- it does not replicate at 7B or 14B of the same Coder fine-tune, so read it as at most necessary-but-not-sufficient evidence for code post-training. The non-replication is itself imperfect: Coder-7B's null is confounded by an injection-induced coherence collapse. We identify the 32B cell's mechanism as legibility but not its cause: we do not yet know which layers or features code post-training changes, or whether the driver is code specifically or a correlate of it. A 72B triple and a cross-architecture check (a mixture-of-experts model) are the obvious next tests. Everything is fp16 on a single A100, dense Qwen only. + +\section{Reproducibility} + +Deterministic, fixed seeds (0/1/2), one Modal A100-80GB, fp16, corrected dose $\alpha = 2 \cdot \|\text{raw diff-of-means}\|$, Bedrock Sonnet 4 judge that fails loud. Total spend about 23 USD: roughly 6.6 USD in GPU (per-rung A100-80GB fp16, e.g.\ the 7B base rung was 0.55 USD) and about 16 USD in Bedrock judge calls. Code, raw transcripts, and the exact dose calibration are in the repository; a companion write-up is at \url{https://bamdad.substack.com/p/same-size-different-mind}. + +\section*{Related work} +\addcontentsline{toc}{section}{Related work} + +Lindsey et al., ``Emergent Introspective Awareness in Large Language Models'' (Anthropic, 2025; arXiv:2601.01828), the protocol we reproduce. Prior open-model replications on Qwen and Llama report the effect on code-tuned checkpoints; our base control and logit-lens give a mechanism for why those checkpoints and not their instruct siblings. + +\begin{thebibliography}{1} +\bibitem{lindsey2025} +J.~Lindsey et al., +``Emergent Introspective Awareness in Large Language Models,'' +Anthropic, 2025. arXiv:2601.01828. +\end{thebibliography} + +\end{document}