"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"order = list(head.mean().sort_values(ascending=False).index)\n",
"fig, ax = plt.subplots(figsize=(7.6, 4.0))\n",
"for m in MODELS:\n",
" y = [head.loc[SHORT[m], c] for c in order]\n",
" ax.plot(range(len(order)), y, \"-o\", color=COLOR[m], lw=2, ms=6, label=SHORT[m])\n",
"ax.axhline(0, color=\"#333\", lw=1.2, ls=\"--\")\n",
"ax.text(len(order) - 1, .015, \"floor\", ha=\"right\", fontsize=8.5, color=\"#333\")\n",
"ax.set_xticks(range(len(order))); ax.set_xticklabels(order)\n",
"ax.set_ylabel(\"headroom captured\"); ax.set_title(\"Difficulty profile per model\")\n",
"ax.legend(loc=\"upper right\", ncol=2)\n",
"fig.tight_layout(); fig.savefig(FIGDIR / \"03_difficulty_profile.png\", bbox_inches=\"tight\")\n",
"\n",
"ranks = head.rank(axis=1, ascending=False).astype(int)\n",
"print(\"difficulty rank each model assigns (1 = most headroom captured):\")\n",
"display(ranks)\n",
"print(\"Spearman between models (only four splits, so 1.00 means identical order):\")\n",
"display(head.T.corr(method=\"spearman\").round(2))"
]
},
{
"cell_type": "markdown",
"id": "45915d5c",
"metadata": {},
"source": [
"## 4. Does the stereo baseline move anything?\n",
"\n",
"Each panel is one split; each line is one model across the six baselines. A\n",
"visual tower that models the scene properly should be flat here — the question\n",
"and the answer never change, only the viewpoint."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "c4955a36",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-31T14:50:36.670734Z",
"iopub.status.busy": "2026-08-31T14:50:36.670630Z",
"iopub.status.idle": "2026-08-31T14:50:37.141974Z",
"shell.execute_reply": "2026-08-31T14:50:37.141027Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 4, figsize=(13.5, 3.2))\n",
"for ax, t in zip(axes, TASKS):\n",
" for m in MODELS:\n",
" s = runs[(runs.task == t) & (runs.model == m)].sort_values(\"baseline\")\n",
" ax.plot(s.baseline, s.accuracy, \"-o\", ms=4, color=COLOR[m], label=SHORT[m])\n",
" ax.axhline(FLOOR[t], ls=\"--\", lw=1.1, color=\"#666\")\n",
" ax.set_title(NICE[t]); ax.set_xlabel(\"baseline\")\n",
" lo = min(runs[runs.task == t].accuracy.min(), FLOOR[t]) - .03\n",
" hi = max(runs[runs.task == t].accuracy.max(), FLOOR[t]) + .03\n",
" ax.set_ylim(lo, hi)\n",
"axes[0].set_ylabel(\"accuracy\")\n",
"axes[-1].legend(loc=\"center left\", bbox_to_anchor=(1.02, .5))\n",
"fig.suptitle(\"Accuracy across the intervention, per split\", y=1.05, fontsize=12)\n",
"fig.tight_layout(); fig.savefig(FIGDIR / \"04_baseline_sensitivity.png\", bbox_inches=\"tight\")\n",
"\n",
"spread = (runs.groupby([\"short\", \"task\"]).accuracy.agg([\"min\", \"max\"])\n",
" .assign(range=lambda d: d[\"max\"] - d[\"min\"])[\"range\"]\n",
" .unstack()[TASKS].rename(columns=NICE))\n",
"display(spread.round(3).rename_axis(\"accuracy range over the six baselines\"))"
]
},
{
"cell_type": "markdown",
"id": "776d9d0f",
"metadata": {},
"source": [
"## 5. Item-level difficulty: do the models fail on the same pictures?\n",
"\n",
"For every item, count how many of the four models get it right at baseline 0.00.\n",
"If difficulty were a property of the item, the counts would pile up at 0 and 4.\n",
"If each model failed idiosyncratically, the counts would follow the independent\n",
"(Poisson-binomial) null drawn behind the bars."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "12f563b9",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-31T14:50:37.143949Z",
"iopub.status.busy": "2026-08-31T14:50:37.143841Z",
"iopub.status.idle": "2026-08-31T14:50:37.742069Z",
"shell.execute_reply": "2026-08-31T14:50:37.741531Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def load_pred(m, t, b=\"0.00\"):\n",
" path = RESULT / m / t / f\"baseline_{b}\" / \"predictions.jsonl\"\n",
" return {json.loads(l)[\"sample_id\"]: json.loads(l)\n",
" for l in path.read_text().splitlines() if l.strip()}\n",
"\n",
"correct_by_task = {}\n",
"for t in TASKS:\n",
" per = {m: load_pred(m, t) for m in MODELS}\n",
" ids = sorted(set.intersection(*(set(v) for v in per.values())))\n",
" correct_by_task[t] = pd.DataFrame(\n",
" {SHORT[m]: [per[m][i][\"correct\"] for i in ids] for m in MODELS}, index=ids)\n",
"\n",
"def poisson_binomial(ps):\n",
" dist = np.zeros(len(ps) + 1); dist[0] = 1.0\n",
" for p in ps:\n",
" dist[1:] = dist[1:] * (1 - p) + dist[:-1] * p\n",
" dist[0] *= (1 - p)\n",
" return dist\n",
"\n",
"fig, axes = plt.subplots(1, 4, figsize=(13.5, 3.2), sharey=True)\n",
"conc = {}\n",
"for ax, t in zip(axes, TASKS):\n",
" df = correct_by_task[t]\n",
" k = df.sum(axis=1).value_counts().reindex(range(5), fill_value=0).sort_index()\n",
" obs = k / k.sum()\n",
" null = poisson_binomial(df.mean().values)\n",
" ax.bar(range(5), null, color=\"#CCCCCC\", width=.82, label=\"independent null\")\n",
" ax.bar(range(5), obs, color=\"#4C72B0\", width=.45, label=\"observed\")\n",
" ax.set_title(f\"{NICE[t]} (n={len(df)})\"); ax.set_xlabel(\"# models correct\")\n",
" ax.set_xticks(range(5))\n",
" # how much mass sits at the two extremes, versus the null\n",
" conc[NICE[t]] = dict(observed_0_or_4=obs.iloc[[0, 4]].sum(),\n",
" null_0_or_4=null[[0, 4]].sum())\n",
"axes[0].set_ylabel(\"share of items\"); axes[0].legend(fontsize=8.5)\n",
"fig.suptitle(\"Agreement on which items are hard\", y=1.05, fontsize=12)\n",
"fig.tight_layout(); fig.savefig(FIGDIR / \"05_item_difficulty.png\", bbox_inches=\"tight\")\n",
"\n",
"conc = pd.DataFrame(conc).T\n",
"conc[\"excess\"] = conc[\"observed_0_or_4\"] - conc[\"null_0_or_4\"]\n",
"display(conc.round(3).rename_axis(\"mass at 0 or 4 models correct\"))"
]
},
{
"cell_type": "markdown",
"id": "68570054",
"metadata": {},
"source": [
"## 6. Failure overlap between models\n",
"\n",
"Jaccard overlap of the failure sets, per split. High values mean the models\n",
"stumble on the same items — shared difficulty rather than independent noise."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "a8acc0fa",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-31T14:50:37.743593Z",
"iopub.status.busy": "2026-08-31T14:50:37.743487Z",
"iopub.status.idle": "2026-08-31T14:50:38.145623Z",
"shell.execute_reply": "2026-08-31T14:50:38.145002Z"
}
},
"outputs": [
{
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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 4, figsize=(14, 3.4))\n",
"for ax, t in zip(axes, TASKS):\n",
" df = correct_by_task[t]\n",
" names = list(df.columns)\n",
" M = np.ones((len(names), len(names)))\n",
" for i, a in enumerate(names):\n",
" for j, b in enumerate(names):\n",
" if i == j:\n",
" continue\n",
" fa, fb = ~df[a].values, ~df[b].values\n",
" M[i, j] = (fa & fb).sum() / max((fa | fb).sum(), 1)\n",
" im = ax.imshow(M, cmap=\"Blues\", vmin=0, vmax=1)\n",
" ax.set_xticks(range(len(names))); ax.set_xticklabels(names, rotation=40, ha=\"right\", fontsize=8)\n",
" ax.set_yticks(range(len(names))); ax.set_yticklabels(names, fontsize=8)\n",
" for i in range(len(names)):\n",
" for j in range(len(names)):\n",
" ax.text(j, i, f\"{M[i,j]:.2f}\", ha=\"center\", va=\"center\", fontsize=8,\n",
" color=\"white\" if M[i, j] > .55 else \"black\")\n",
" ax.grid(False); ax.set_title(NICE[t], fontsize=11)\n",
"fig.suptitle(\"Jaccard overlap of failure sets (baseline 0.00)\", y=1.06, fontsize=12)\n",
"fig.tight_layout(); fig.savefig(FIGDIR / \"06_failure_overlap.png\", bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"id": "e89a1c83",
"metadata": {},
"source": [
"## 7. Is the model answering, or just picking a letter?\n",
"\n",
"The reference labels are near-uniform in every split, so a flat prediction\n",
"histogram is what an unbiased model produces. A spike means the model has\n",
"collapsed onto one option, and that spike caps how well it can possibly do."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "25836d86",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-31T14:50:38.147963Z",
"iopub.status.busy": "2026-08-31T14:50:38.147855Z",
"iopub.status.idle": "2026-08-31T14:50:39.463976Z",
"shell.execute_reply": "2026-08-31T14:50:39.462997Z"
}
},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(len(MODELS), 4, figsize=(12, 2.3 * len(MODELS)),\n",
" sharey=\"row\")\n",
"for r, m in enumerate(MODELS):\n",
" for c, t in enumerate(TASKS):\n",
" ax = axes[r, c]\n",
" pred = load_pred(m, t)\n",
" pc = pd.Series([v[\"prediction_norm\"] for v in pred.values()]).value_counts()\n",
" rc = pd.Series([v[\"reference_norm\"] for v in pred.values()]).value_counts()\n",
" labels = sorted(set(pc.index) | set(rc.index))\n",
" x = np.arange(len(labels))\n",
" ax.bar(x - .2, [rc.get(l, 0) / len(pred) for l in labels], width=.4,\n",
" color=\"#BBBBBB\", label=\"reference\")\n",
" ax.bar(x + .2, [pc.get(l, 0) / len(pred) for l in labels], width=.4,\n",
" color=COLOR[m], label=\"prediction\")\n",
" ax.set_xticks(x); ax.set_xticklabels(labels, fontsize=8)\n",
" ax.axhline(1 / len(labels), ls=\":\", lw=1, color=\"#666\")\n",
" if r == 0:\n",
" ax.set_title(NICE[t])\n",
" if c == 0:\n",
" ax.set_ylabel(SHORT[m], fontsize=9)\n",
" if r == 0 and c == 0:\n",
" ax.legend(fontsize=7.5)\n",
"fig.suptitle(\"Predicted vs reference label distribution (baseline 0.00)\",\n",
" y=1.01, fontsize=12)\n",
"fig.tight_layout(); fig.savefig(FIGDIR / \"07_answer_bias.png\", bbox_inches=\"tight\")"
]
},
{
"cell_type": "markdown",
"id": "e916b343",
"metadata": {},
"source": [
"## 8. Level 2 regression guard: is the option text still uninformative?\n",
"\n",
"Level 2's three distractors are drawn uniformly from the 23 wrong orderings, so\n",
"the four options should be statistically exchangeable and no text-only rule\n",
"should beat chance. Earlier, structured distractor sets did not have that\n",
"property — the worst of them let a majority vote on successive positions narrow\n",
"every item to two candidates and score 0.500 blind.\n",
"\n",
"This cell re-runs that vote. `in survivor set` near 1.0 means the vote eliminated\n",
"nothing, which is what random distractors should produce. If it ever drops\n",
"toward 0.5 while accuracy rises, the construction has reacquired a leak."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "5dfe1466",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-31T14:50:39.465886Z",
"iopub.status.busy": "2026-08-31T14:50:39.465776Z",
"iopub.status.idle": "2026-08-31T14:50:40.035730Z",
"shell.execute_reply": "2026-08-31T14:50:40.034892Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"mean survivor-set size after the vote: 2.05 of 4 options\n"
]
},
{
"data": {
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in_survivor_set
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2.5-VL-3B
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0.363
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0.690
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2.5-VL-7B
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0.403
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3.5-4B
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0.391
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0.623
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3.5-4B-Base
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0.442
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0.618
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"text/plain": [
" accuracy in_survivor_set\n",
"model \n",
"2.5-VL-3B 0.363 0.690\n",
"2.5-VL-7B 0.403 0.690\n",
"3.5-4B 0.391 0.623\n",
"3.5-4B-Base 0.442 0.618"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"L2_TEST = REPO / \"02_data\" / \"Youtube_self_depth_QA\" / \"level2\" / \"test.jsonl\"\n",
"rows = []\n",
"if L2_TEST.exists():\n",
" opts = {}\n",
" for line in L2_TEST.read_text().splitlines():\n",
" rec = json.loads(line)\n",
" if rec.get(\"options\"):\n",
" opts[rec[\"sample_id\"]] = {k: v.split(\" > \") for k, v in rec[\"options\"].items()}\n",
"\n",
" def survivors(o):\n",
" alive = list(o)\n",
" for k in range(4):\n",
" if len(alive) <= 1:\n",
" break\n",
" counts = pd.Series([o[a][k] for a in alive]).value_counts()\n",
" if len(counts) > 1 and counts.iloc[0] == counts.iloc[1]:\n",
" continue\n",
" alive = [a for a in alive if o[a][k] == counts.index[0]]\n",
" return alive\n",
"\n",
" surv = {sid: survivors(o) for sid, o in opts.items()}\n",
" for m in MODELS:\n",
" pred = load_pred(m, \"youtube_level2\")\n",
" ins = [p[\"prediction_norm\"] in surv[s] for s, p in pred.items() if s in surv]\n",
" hit = [p[\"correct\"] for s, p in pred.items() if s in surv]\n",
" rows.append(dict(model=SHORT[m], accuracy=np.mean(hit),\n",
" in_survivor_set=np.mean(ins)))\n",
" l2 = pd.DataFrame(rows).set_index(\"model\")\n",
" surv = np.mean([len(v) for v in surv.values()])\n",
" print(f\"mean survivor-set size after the vote: {surv:.2f} of 4 options\")\n",
" display(l2.round(3))\n",
"\n",
" fig, ax = plt.subplots(figsize=(7, 3.2))\n",
" x = np.arange(len(l2))\n",
" ax.bar(x - .2, l2.in_survivor_set, width=.4, color=\"#999\",\n",
" label=\"answer survives the text-only vote\")\n",
" ax.bar(x + .2, l2.accuracy, width=.4, color=\"#C44E52\", label=\"accuracy\")\n",
" ax.axhline(.25, ls=\"--\", color=\"#333\", lw=1.3)\n",
" ax.text(len(l2) - .4, .265, \"chance\", ha=\"right\", fontsize=8.5)\n",
" ax.set_xticks(x); ax.set_xticklabels(l2.index, rotation=25, ha=\"right\")\n",
" ax.set_ylim(0, 1); ax.set_ylabel(\"share\")\n",
" ax.set_title(\"Level 2: random distractors leave the text-only vote powerless\")\n",
" ax.legend()\n",
" fig.tight_layout(); fig.savefig(FIGDIR / \"08_level2_guard.png\", bbox_inches=\"tight\")\n",
"else:\n",
" print(f\"level-2 split not found at {L2_TEST}; skipping\")"
]
},
{
"cell_type": "markdown",
"id": "65df831b",
"metadata": {},
"source": [
"## Findings\n",
"\n",
"**1. Every model puts VSR first and YT L1 second; the two families then\n",
"disagree.** Qwen2.5-VL finds level 3 hardest, Qwen3.5 finds level 2 hardest.\n",
"Spearman is 1.00 within a family and 0.80 across, so the ordering of the two\n",
"Youtube reasoning levels is the one place where architecture, not just\n",
"strength, changes what looks hard.\n",
"\n",
"**2. Only VSR is comfortably solved** (0.52-0.66 of headroom). It is also the\n",
"easiest question type: a binary relation that is often inferable from object\n",
"identity alone, without metric depth.\n",
"\n",
"**3. Level 3 is the sharpest discriminator.** Qwen2.5-VL captures 0.03 (3B) and\n",
"0.07 (7B) — indistinguishable from guessing — against 0.29 and 0.33 for\n",
"Qwen3.5. A 4-10x gap, far wider than anywhere else in the suite. Continuous\n",
"trajectory reasoning is what separates the two families.\n",
"\n",
"**4. Level 2 sits at 0.17-0.26 of headroom for everyone**, a narrow band that\n",
"does not track model size or family. Its distractors are drawn at random from\n",
"the 23 wrong orderings, so nothing in the option text helps (figure 8: the\n",
"text-only vote leaves ~2 of 4 options standing and scores 0.252 on the split,\n",
"i.e. chance). The scores are what four-way depth ranking actually costs these\n",
"models: clearly above guessing, nowhere near solved.\n",
"\n",
"**5. The base model beats the instruct model on every split.** Qwen3.5-4B-Base\n",
"scored by likelihood outperforms Qwen3.5-4B scored by generation everywhere,\n",
"and 4B-Instruct is the only model producing unparsable answers (up to 0.7% on\n",
"L1), which are scored wrong. Part of the instruct model's deficit is format\n",
"compliance, not perception.\n",
"\n",
"**6. The stereo intervention barely moves the aggregate.** Accuracy ranges over\n",
"the six baselines are 0.012-0.044 with no consistent sign across models or\n",
"splits. Whether the same *items* flip is a separate question, answered in\n",
"`../intervention_analysis`.\n",
"\n",
"**7. Models agree most on which L1 items are hard, least on L3.** Excess mass at\n",
"\"0 or 4 models correct\" over the independent null: +0.36 (L1), +0.27 (VSR),\n",
"+0.23 (L2), +0.14 (L3). On L3 the failures are close to independent noise, which\n",
"is what near-chance accuracy looks like — there is little shared signal to agree\n",
"about.\n",
"\n",
"### A note on the level-2 numbers\n",
"\n",
"Level 2 was rebuilt three times before this run. Two earlier option\n",
"constructions leaked: distractors grown outward from the ground truth made it\n",
"the option most similar to the others (0.388 blind), and a prefix ladder let a\n",
"majority vote narrow every item to two (0.500 blind). Under the leaking\n",
"constructions these same models scored 0.40-0.47 on level 2; with random\n",
"distractors they score 0.37-0.45 against a real 0.25 floor. The drop of\n",
"0.02-0.10 is the part of the old score that came from the option text rather\n",
"than the picture."
]
}
],
"metadata": {
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