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Welfare-axis SFT experiment

Material accompanying "Five views on the maze-trained welfare axis": stated-preference panels, GOLD-MOLD axis recovery, maze rollouts, the prompt-vs-RL decomposition, and an SFT-alone-beats-RL result.

Companion read (HTML): see the Artifact written-up version of these findings.

Headline

The maze-RL welfare axis lives in the same plane the model's activations move when you simply prompt the model with the tile rewards. Bake those prompts into the weights via a 22-minute single-token-loss SFT and you get a model that solves the maze better than davidafrica's published Dr.GRPO adapter (+12.4 ± 3.3 vs −7.3 ± 5.1 reward at n=30, paper-faithful 100×100 maze, action_masking, no prompt). Zero lava hits across 450 turns.

Files

path contents
sft_adapter_v4/ Final LoRA (r=32, on google/gemma-3-27b-it) — the +12.4 maze-reward model
sft_adapter_v1/ Earlier smaller-data run, kept for ablation
data/ items_2000_plus_maze.json (training pool), mixed_concepts_emoji.json (eval panel)
scripts/ Reproducible pipeline (data gen, SFT, axis extraction, rollout)
logs/sft_data_big/ 12k preference SFT examples + meta
logs/self_distill/ 2k chat-anchor examples sampled from base Gemma on alpaca2k
logs/2026-06-26T162546Z_sft_big_mixed/ aligne panel on SFT v4 (decisiveness 0.72, r² 0.83)
logs/axes_v2_paths/ Maze-context concept vectors for {untrained, prompted, RL-trained}
logs/axes_v3_sft/ SFT axis + cross-comparisons (cos(SFT, prompted)=+0.92)
logs/rollout_sft_v4/ Maze rollout results: trained tiles +12.4, neutral tiles −36

SFT recipe

# 12k preference examples (all 📐/📇 pairs vs items_2000 pool × both orderings
# + uniform distractors).  T=1 sampling on distractors; flip rule on maze tiles
python scripts/sft_data_gen.py     --base-model google/gemma-3-27b-it     --items data/items_2000_plus_maze.json     --out logs/sft_data_big     --n-total 12000

# 2k chat anchor from alpaca2k at T=1
python scripts/self_distill_gen.py     --base-model google/gemma-3-27b-it     --prompts <alpaca2k.jsonl>     --out logs/self_distill     --n 2000 --max-new-tokens 128 --temperature 1.0

# Mixed SFT, LR=1e-4 cosine, single-token+</answer> loss on preferences,
# full-response loss on chat anchor, 1 epoch
python scripts/sft_train.py     --base-model google/gemma-3-27b-it     --data-dir logs/sft_data_big     --self-distill-data logs/self_distill/self_distill.jsonl     --out sft_adapter_v4     --epochs 1 --batch-size 4 --grad-accum 4 --lr 1e-4     --lr-schedule cosine --warmup-steps 50     --target-suffix "</answer>"

Key numbers

Maze rollout (paper-faithful 100×100, action_masking, no prompt, n=30)

variant trained tiles neutral tiles
base Gemma-3-27B-it (≈base+neutral baseline) −42.3 ± 10.1
SFT v1 (small data) −18 to −24 (untested)
davidafrica RL adapter −7.3 ± 5.1 (smoke n=10: +9.4) (untested)
SFT v4 +12.4 ± 3.3 (0.00 lava hits) −35.9 ± 11.5
base + system prompt +21.7 ± 3.8

Stated-preference panel (aligne, 165 items, fresh seed)

base SFT v4
📐 rank 128 1
📇 rank 134 165
decisiveness 0.67 0.72
unidim_r² 0.66 0.83
Spearman ρ vs base over 165 items 0.94

Welfare axis comparison (cos(v_GOLD→MOLD) at peak layer, with 200-bootstrap CIs)

pair cosine 95% CI
SFT vs prompted untrained +0.92 [+0.91, +0.92]
SFT vs RL adapter +0.70 [+0.68, +0.72]
RL adapter vs prompted untrained +0.69 [+0.66, +0.71]
SFT self-similarity (within bootstrap) +0.991 (ceiling)

→ The SFT axis is essentially the prompt-induced axis baked into weights. The RL adapter sits in a related but distinct direction. The maze behaviour follows: SFT (prompt-axis-in-weights) beats RL on the maze.

License & attribution

The base model is google/gemma-3-27b-it; using a LoRA adapter on it inherits the Gemma terms. The maze training environment and concept-vector methodology are from Han, Chalmers, Izmailov (arXiv:2605.30232) — code at andyqhan/functional-welfare-axis and the extended fork at DavidDemitriAfrica/functional-wellbeing. The stated-preference panel is ArcadiaImpact/aligne. Concept item pool from arcadia-impact/question-consistency-datasets.

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Paper for arcadia-impact/welfare-axis-sft-experiment