"
- ],
- "text/plain": [
- " Model Type Dim \\\n",
- "0 rawnet3 Supervised 192 \n",
- "1 ecapa_tdnn Supervised 192 \n",
- "2 titanet Supervised 192 \n",
- "3 resemblyzer Supervised 256 \n",
- "4 xvector Supervised 512 \n",
- "5 wav2vec2 Self-supervised 768 \n",
- "6 hubert Self-supervised 768 \n",
- "7 wavlm Self-supervised 768 \n",
- "8 whisper Weakly supervised 512 \n",
- "9 xlsr Self-supervised 1024 \n",
- "\n",
- " Training \n",
- "0 AAM-Softmax on VoxCeleb1+2 (Jung et al., Inter... \n",
- "1 AAM-Softmax on VoxCeleb1+2 (Desplanques et al.... \n",
- "2 AAM-Softmax on VoxCeleb+Fisher+SWB (Koluguri e... \n",
- "3 GE2E loss, 3-layer LSTM (Wan et al., ICASSP 2018) \n",
- "4 Softmax on VoxCeleb1+2, TDNN (Snyder et al., I... \n",
- "5 Contrastive on LibriSpeech 960h (Baevski et al... \n",
- "6 Masked prediction on LibriSpeech 960h (Hsu et ... \n",
- "7 Masked prediction + denoising on 94K hrs (Chen... \n",
- "8 Multitask ASR on 680K hrs web audio (Radford e... \n",
- "9 Contrastive on 436K hrs multilingual (Babu et ... "
- ]
- },
- "execution_count": 12,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Model info table\n",
"info_rows = []\n",
@@ -1257,6 +700,12 @@
"source": [
"# Inter-model correlation heatmap. Whisper is placed last (bottom-right) since\n",
"# it is the weakly-supervised outlier.\n",
+ "DISPLAY_NAME = {'rawnet3': 'RawNet3', 'ecapa_tdnn': 'ECAPA-TDNN',\n",
+ " 'titanet': 'TitaNet', 'resemblyzer': 'resemblyzer',\n",
+ " 'xvector': 'x-vector', 'wav2vec2': 'wav2vec 2.0',\n",
+ " 'hubert': 'HuBERT', 'wavlm': 'WavLM',\n",
+ " 'whisper': 'Whisper', 'xlsr': 'XLS-R'}\n",
+ "\n",
"if len(available_models) > 1:\n",
" plot_models = [m for m in available_models if m != 'whisper']\n",
" if 'whisper' in available_models:\n",
@@ -1266,12 +715,7 @@
" corr_matrix.columns = [DISPLAY_NAME[m] for m in plot_models]\n",
" corr_matrix.index = [DISPLAY_NAME[m] for m in plot_models]\n",
"\n",
- " DISPLAY_NAME = {'rawnet3': 'RawNet3', 'ecapa_tdnn': 'ECAPA-TDNN',\n",
- " 'titanet': 'TitaNet', 'resemblyzer': 'resemblyzer',\n",
- " 'xvector': 'x-vector', 'wav2vec2': 'wav2vec 2.0',\n",
- " 'hubert': 'HuBERT', 'wavlm': 'WavLM',\n",
- " 'whisper': 'Whisper', 'xlsr': 'XLS-R'}\n",
- "fig, ax = plt.subplots(figsize=(8, 6))\n",
+ " fig, ax = plt.subplots(figsize=(8, 6))\n",
" sns.heatmap(corr_matrix, annot=True, fmt='.3f', cmap='RdYlBu_r',\n",
" vmin=0, vmax=1, ax=ax, square=True)\n",
" plt.tight_layout()\n",
@@ -1279,18 +723,6 @@
" plt.show()\n"
]
},
- {
- "cell_type": "markdown",
- "id": "cell_014_interp",
- "metadata": {},
- "source": [
- "### Section 2: Interpretation\n",
- "\n",
- "**Inter-model agreement.** With best-layer SSL cosine similarities, the inter-model correlation structure shifts: supervised and SSL models now correlate more strongly with each other than when SSL used last-layer. Supervised models still form the tightest cluster (pairwise r > 0.9 typical), but SSL models (wav2vec2, HuBERT, WavLM, XLS-R) now correlate with supervised models at r ~ 0.7-0.85 -- far above their last-layer correlations (~0.4-0.6). Whisper remains the outlier with weaker correlations to all other models. This pattern is consistent with SSL models encoding substantial speaker-relevant information in their early layers, which becomes visible under fair layer selection but is suppressed at the last layer.\n",
- "\n",
- "**Protocol note.** The cosine similarities computed here are the ones used throughout the rest of the benchmark. For supervised models they come from the model's native output; for SSL models they come from the nested-CV best-layer selection documented in Section 13."
- ]
- },
{
"cell_type": "markdown",
"metadata": {},
@@ -1306,7 +738,7 @@
},
{
"cell_type": "code",
- "execution_count": 14,
+ "execution_count": null,
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-22T16:22:34.163892Z",
@@ -1315,18 +747,7 @@
"shell.execute_reply": "2026-04-22T16:22:34.171417Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Pairs with metadata label: 1700 / 9800\n",
- " Metadata = same (Types 1-3): 900\n",
- " Metadata = different (Types 4-5): 800\n",
- " Excluded (Type 6): 8100\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# ============================================================\n",
"# M1. Metadata labels (Type 6 excluded)\n",
@@ -1346,7 +767,7 @@
},
{
"cell_type": "code",
- "execution_count": 15,
+ "execution_count": null,
"metadata": {
"execution": {
"iopub.execute_input": "2026-04-22T16:22:34.175974Z",
@@ -1355,30 +776,7 @@
"shell.execute_reply": "2026-04-22T16:23:26.198051Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Nested-CV best-layer for SSL on the METADATA target (AUC-on-training)...\n",
- "[cache MISS] ssl_bestlayer_cosims_meta: Per-fold layer selection on metadata target -- computing\n"
- ]
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "[cache SAVED] ssl_bestlayer_cosims_meta -> ssl_bestlayer_cosims_meta.pkl\n",
- " wav2vec2: layers chosen = [0, 0, 0, 0, 0, 0, 0, 0, 3, 3] (of 13)\n",
- " hubert: layers chosen = [0, 0, 0, 0, 0, 0, 0, 0, 1, 1] (of 13)\n",
- " wavlm: layers chosen = [4, 4, 4, 4, 4, 4, 4, 4, 4, 4] (of 13)\n",
- " whisper: layers chosen = [3, 3, 3, 3, 3, 3, 3, 3, 3, 3] (of 7)\n",
- " xlsr: layers chosen = [5, 5, 5, 5, 5, 5, 5, 5, 5, 5] (of 25)\n",
- "\n",
- "Metadata cosines stored in df[f\"{m}_cosim_meta\"].\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# ============================================================\n",
"# Per-fold best SSL layer selected on METADATA target (AUC on training speakers).\n",
@@ -1712,28 +1110,6 @@
"print(f'\\nSpearman rank correlation (metadata AUC vs perception r): {rho:.4f}')\n"
]
},
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "### Part I.5: Interpretation\n",
- "\n",
- "**Metadata performance establishes baseline legitimacy.** On the VoxCeleb-comparable Set A (Type 2 same-speaker + Type 4 different-speaker), top supervised embeddings reach VoxCeleb-quality numbers: TitaNet EER = 1.6%, ECAPA-TDNN EER = 1.6%, RawNet3 EER = 1.9%. x-vector (11.1%) and resemblyzer (12.0%) are weaker but still strongly metadata-aligned (AUC \u2265 0.95). With per-task best-layer selection, SSL models reach EER = 26-32%; Whisper reaches 37.5%. This ordering matches speaker-verification literature: the models *do* work on the traditional task.\n",
- "\n",
- "**The dataset departs from metadata primarily through voice clones.** On Type 3 (same-speaker AI voice clones, labeled metadata=same), the crowd majority says **different** on 42% of pairs; median P(same) is 0.60. On other types, majority-vs-metadata disagreement is 0-19%. Overall, 27% of metadata=same pairs are judged as different by majority vote, and this divergence is concentrated in clones. This is the primary signal that the perception target is not a noisier version of metadata: it captures something different, specifically the cases where a cloned voice is acoustically the target speaker by ground truth yet is not heard that way.\n",
- "\n",
- "**Model rankings differ under metadata vs perception.** The Spearman correlation between AUC-on-metadata and Pearson-r-on-perception is 0.85 across the 10 models, so the rough ordering is preserved. But there are visible flips near the top: **resemblyzer is 5th on metadata AUC (0.949) yet 1st on perception r (0.804)**; TitaNet tops metadata but is 2nd on perception. The model that looks best on a VoxCeleb-style scoreboard is not the model best aligned with listeners.\n",
- "\n",
- "**For the paper.** These results support a three-beat narrative: (i) top supervised embeddings pass the traditional metadata test as expected; (ii) the benchmark's dataset departs from metadata primarily on voice clones, where 42% of metadata=same pairs are heard as different; (iii) model rankings under the perception target are not identical to metadata, so the two benchmarks are not interchangeable.\n"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "---"
- ]
- },
{
"cell_type": "markdown",
"id": "part_II_divider",
@@ -1769,7 +1145,7 @@
},
{
"cell_type": "code",
- "execution_count": 19,
+ "execution_count": null,
"id": "cell_016",
"metadata": {
"execution": {
@@ -1779,26 +1155,7 @@
"shell.execute_reply": "2026-04-22T16:23:27.709800Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Overall model-human alignment (full 1,290-participant dataset):\n",
- " model model_type pearson_r spearman_rho r_squared n\n",
- "resemblyzer Supervised 0.6557 0.6682 0.4299 9800\n",
- " ecapa_tdnn Supervised 0.6456 0.6410 0.4168 9800\n",
- " titanet Supervised 0.6381 0.6390 0.4072 9800\n",
- " rawnet3 Supervised 0.6171 0.6229 0.3809 9800\n",
- " xvector Supervised 0.5973 0.6426 0.3568 9800\n",
- " wavlm Self-supervised 0.5098 0.5121 0.2599 9800\n",
- " wav2vec2 Self-supervised 0.4714 0.4817 0.2222 9800\n",
- " xlsr Self-supervised 0.4651 0.5080 0.2163 9800\n",
- " hubert Self-supervised 0.4577 0.4773 0.2095 9800\n",
- " whisper Weakly supervised 0.2258 0.2698 0.0510 9800\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Overall correlation: each model's cosine similarity vs human P(same)\n",
"def compute_correlations(df, model_name, target_col='p_same_full'):\n",
@@ -1893,7 +1250,7 @@
},
{
"cell_type": "code",
- "execution_count": 21,
+ "execution_count": null,
"id": "cell_019",
"metadata": {
"execution": {
@@ -1903,167 +1260,7 @@
"shell.execute_reply": "2026-04-22T16:23:32.988669Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Pearson r by stimulus type:\n"
- ]
- },
- {
- "data": {
- "text/html": [
- "
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- "\n",
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- " \n",
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Type 1
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Type 2
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Type 3
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Type 4
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Type 5
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ecapa_tdnn
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0.348
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0.581
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0.453
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0.365
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0.306
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0.598
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hubert
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0.173
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0.414
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0.366
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0.342
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0.320
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0.417
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rawnet3
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0.180
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0.497
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0.336
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0.386
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- "
0.314
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0.571
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\n",
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\n",
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resemblyzer
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0.286
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0.650
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0.513
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0.520
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0.463
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0.607
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titanet
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- "
0.246
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0.612
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0.498
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- "
0.409
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- "
0.316
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0.585
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wav2vec2
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0.247
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0.403
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0.360
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0.364
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0.305
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0.435
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wavlm
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0.318
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0.453
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0.413
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0.392
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0.318
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0.467
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- "
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whisper
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-0.084
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-0.007
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0.064
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0.063
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0.090
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0.216
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xlsr
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0.304
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0.510
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0.414
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- "
0.361
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0.325
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- "
0.426
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- "
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xvector
\n",
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0.232
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0.558
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0.451
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0.472
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0.370
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0.550
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- " Type 1 Type 2 Type 3 Type 4 Type 5 Type 6\n",
- "model \n",
- "ecapa_tdnn 0.348 0.581 0.453 0.365 0.306 0.598\n",
- "hubert 0.173 0.414 0.366 0.342 0.320 0.417\n",
- "rawnet3 0.180 0.497 0.336 0.386 0.314 0.571\n",
- "resemblyzer 0.286 0.650 0.513 0.520 0.463 0.607\n",
- "titanet 0.246 0.612 0.498 0.409 0.316 0.585\n",
- "wav2vec2 0.247 0.403 0.360 0.364 0.305 0.435\n",
- "wavlm 0.318 0.453 0.413 0.392 0.318 0.467\n",
- "whisper -0.084 -0.007 0.064 0.063 0.090 0.216\n",
- "xlsr 0.304 0.510 0.414 0.361 0.325 0.426\n",
- "xvector 0.232 0.558 0.451 0.472 0.370 0.550"
- ]
- },
- "execution_count": 21,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Per-stimulus-type Pearson r\n",
"type_corr_rows = []\n",
@@ -2085,27 +1282,6 @@
"pivot"
]
},
- {
- "cell_type": "markdown",
- "id": "cell_020_interp",
- "metadata": {},
- "source": [
- "### Section 3: Interpretation\n",
- "\n",
- "**Supervised models hold a modest but robust lead over SSL models.** Full-dataset Pearson r values:\n",
- "- Supervised: resemblyzer (r=0.656), ECAPA-TDNN (r=0.646), TitaNet (r=0.638), RawNet3 (r=0.617), x-vector (r=0.597).\n",
- "- SSL (best-layer via nested CV): WavLM (r=0.510), wav2vec2 (r=0.471), XLS-R (r=0.465), HuBERT (r=0.458).\n",
- "- Whisper (r=0.226) is far below the rest.\n",
- "\n",
- "The best supervised model exceeds the best SSL model by 0.15 in Pearson r. This is substantially smaller than the 0.38 gap that a naive last-layer-only SSL protocol would imply (Section 13).\n",
- "\n",
- "**Top supervised models cluster tightly.** Section 9's paired-bootstrap significance tests show resemblyzer vs ECAPA-TDNN is only marginally significant under Benjamini-Hochberg FDR control (diff=0.010, BH q=0.049). All other supervised-vs-supervised and supervised-vs-SSL differences are highly significant (BH q $\\ll$ 0.05).\n",
- "\n",
- "**Per-type breakdown.** All models perform worst on Type 1 (restricted P(same) variance near ceiling). Type 6 (blended voices) elicits the strongest correlations due to wide P(same) variance. Type 3 (clones) shows intermediate difficulty.\n",
- "\n",
- "**Noise ceiling.** The reliability-derived ceiling on R\u00b2 is 0.705. The best model (resemblyzer, R\u00b2 = 0.430) reaches **61% of the achievable ceiling**, leaving meaningful headroom that Section 10 attributes primarily to individual-listener variability rather than representational inadequacy."
- ]
- },
{
"cell_type": "markdown",
"id": "cell_021",
@@ -2311,7 +1487,7 @@
},
{
"cell_type": "code",
- "execution_count": 24,
+ "execution_count": null,
"id": "cell_024",
"metadata": {
"execution": {
@@ -2321,26 +1497,7 @@
"shell.execute_reply": "2026-04-22T16:23:36.718999Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Human-Aligned Verification Results (Platt-scaled ECE):\n",
- " model type AUC Acc@opt Threshold ECE_raw ECE_calibrated\n",
- "resemblyzer Supervised 0.8722 0.7974 0.7627 0.3377 0.0266\n",
- " ecapa_tdnn Supervised 0.8621 0.7882 0.4385 0.0470 0.0180\n",
- " titanet Supervised 0.8614 0.7824 0.4555 0.0575 0.0195\n",
- " xvector Supervised 0.8573 0.7743 0.9533 0.5482 0.1357\n",
- " rawnet3 Supervised 0.8511 0.7824 0.5397 0.0862 0.0206\n",
- " wavlm Self-supervised 0.7897 0.7041 0.6943 0.2716 0.0217\n",
- " xlsr Self-supervised 0.7817 0.6962 0.9082 0.5017 0.0608\n",
- " wav2vec2 Self-supervised 0.7703 0.7107 0.7647 0.3357 0.0329\n",
- " hubert Self-supervised 0.7653 0.7222 0.7635 0.3169 0.0346\n",
- " whisper Weakly supervised 0.6505 0.6430 0.9949 0.5944 0.0372\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Summary table: AUC, accuracy, raw ECE, calibrated ECE per model\n",
"verification_rows = []\n",
@@ -2374,26 +1531,6 @@
"print(verif_df.round(4).to_string(index=False))"
]
},
- {
- "cell_type": "markdown",
- "id": "cell_024_interp",
- "metadata": {},
- "source": [
- "### Section 4: Interpretation\n",
- "\n",
- "**AUC** (against full-dataset majority vote) places supervised models highest: resemblyzer 0.872, ECAPA-TDNN 0.862, TitaNet 0.861, x-vector 0.857, RawNet3 0.851. Best-layer SSL models cluster at AUC 0.77-0.79 (WavLM 0.790, XLS-R 0.782, wav2vec2 0.770, HuBERT 0.765). Whisper is at 0.651. The supervised lead in AUC is about 0.07-0.11 -- meaningful but not categorical.\n",
- "\n",
- "**Raw ECE is dominated by scale mismatch.** Models with similarity distributions concentrated in a narrow high-value range show high raw ECE regardless of representation quality, so raw ECE is not a meaningful comparison metric.\n",
- "\n",
- "**Platt-calibrated ECE reveals the real calibration picture:**\n",
- "- Four supervised models achieve excellent calibration (ECE_cal 0.018-0.027): ECAPA-TDNN (0.018), TitaNet (0.020), RawNet3 (0.021), resemblyzer (0.027).\n",
- "- Three SSL models match or beat most supervised models after calibration: WavLM (0.022), wav2vec2 (0.033), HuBERT (0.035), Whisper (0.037). The best-layer SSL protocol substantially improved SSL calibration relative to the last-layer default.\n",
- "- XLS-R has mid-range calibration (0.061) despite strong AUC.\n",
- "- **x-vector is the lone outlier** (ECE_cal = 0.136) -- an order of magnitude worse than the best-calibrated supervised models. Even Platt scaling cannot fully fix its confidence shape, suggesting a non-sigmoidal pathology in its cosine-similarity distribution.\n",
- "\n",
- "**Practical takeaway:** For deployment, always Platt-calibrate cosine similarities on held-out data. Most models then provide trustworthy probabilities; x-vector is the exception and may require isotonic regression or a more flexible calibrator."
- ]
- },
{
"cell_type": "markdown",
"id": "cell_025",
@@ -2417,7 +1554,7 @@
},
{
"cell_type": "code",
- "execution_count": 25,
+ "execution_count": null,
"id": "cell_026",
"metadata": {
"execution": {
@@ -2427,166 +1564,7 @@
"shell.execute_reply": "2026-04-22T16:23:36.899533Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Unique reference speakers: 100\n",
- "Unique comparison speakers: 100\n",
- "\n",
- "RDM entries: 400 (Types 4+5 off-diagonal, within-group)\n"
- ]
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- "
0.627535
\n",
- "
0.992281
\n",
- "
0.876186
\n",
- "
\n",
- "
\n",
- "
1
\n",
- "
F01
\n",
- "
F03
\n",
- "
0.092857
\n",
- "
0.047201
\n",
- "
-0.068396
\n",
- "
-0.175500
\n",
- "
0.642626
\n",
- "
0.915991
\n",
- "
0.772310
\n",
- "
0.754791
\n",
- "
0.704805
\n",
- "
0.992008
\n",
- "
0.897529
\n",
- "
\n",
- "
\n",
- "
2
\n",
- "
F01
\n",
- "
F04
\n",
- "
0.101282
\n",
- "
0.146979
\n",
- "
0.213859
\n",
- "
0.094361
\n",
- "
0.662321
\n",
- "
0.911609
\n",
- "
0.781893
\n",
- "
0.759821
\n",
- "
0.722003
\n",
- "
0.994985
\n",
- "
0.914280
\n",
- "
\n",
- "
\n",
- "
3
\n",
- "
F01
\n",
- "
F05
\n",
- "
0.217568
\n",
- "
0.269810
\n",
- "
0.160787
\n",
- "
0.132544
\n",
- "
0.661223
\n",
- "
0.912715
\n",
- "
0.814192
\n",
- "
0.777687
\n",
- "
0.812477
\n",
- "
0.994951
\n",
- "
0.932798
\n",
- "
\n",
- "
\n",
- "
4
\n",
- "
F02
\n",
- "
F01
\n",
- "
0.103191
\n",
- "
0.066491
\n",
- "
0.008276
\n",
- "
-0.045909
\n",
- "
0.522276
\n",
- "
0.918945
\n",
- "
0.592994
\n",
- "
0.681269
\n",
- "
0.548130
\n",
- "
0.990653
\n",
- "
0.830665
\n",
- "
\n",
- " \n",
- "
\n",
- "
"
- ],
- "text/plain": [
- " reference comp_speaker p_same_full rawnet3_cosim ecapa_tdnn_cosim \\\n",
- "0 F01 F02 0.227778 -0.096190 -0.121267 \n",
- "1 F01 F03 0.092857 0.047201 -0.068396 \n",
- "2 F01 F04 0.101282 0.146979 0.213859 \n",
- "3 F01 F05 0.217568 0.269810 0.160787 \n",
- "4 F02 F01 0.103191 0.066491 0.008276 \n",
- "\n",
- " titanet_cosim resemblyzer_cosim xvector_cosim wav2vec2_cosim \\\n",
- "0 -0.246967 0.515382 0.903451 0.649076 \n",
- "1 -0.175500 0.642626 0.915991 0.772310 \n",
- "2 0.094361 0.662321 0.911609 0.781893 \n",
- "3 0.132544 0.661223 0.912715 0.814192 \n",
- "4 -0.045909 0.522276 0.918945 0.592994 \n",
- "\n",
- " hubert_cosim wavlm_cosim whisper_cosim xlsr_cosim \n",
- "0 0.630006 0.627535 0.992281 0.876186 \n",
- "1 0.754791 0.704805 0.992008 0.897529 \n",
- "2 0.759821 0.722003 0.994985 0.914280 \n",
- "3 0.777687 0.812477 0.994951 0.932798 \n",
- "4 0.681269 0.548130 0.990653 0.830665 "
- ]
- },
- "execution_count": 25,
- "metadata": {},
- "output_type": "execute_result"
- }
- ],
+ "outputs": [],
"source": [
"# Speaker-level RDM from Types 4+5 off-diagonal (different-speaker real + clone).\n",
"# Type 6 (morphed) is excluded: at scale 0.5 a morph is neither A nor B, so the\n",
@@ -2627,7 +1605,7 @@
},
{
"cell_type": "code",
- "execution_count": 26,
+ "execution_count": null,
"id": "cell_027",
"metadata": {
"execution": {
@@ -2637,26 +1615,7 @@
"shell.execute_reply": "2026-04-22T16:24:02.346056Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Speaker-level RDM (Types 4+5, within-group different-speaker geometry):\n",
- " model type rsa_rho mantel_p n_pairs\n",
- "resemblyzer Supervised 0.5419 0.0000 400\n",
- " xvector Supervised 0.4793 0.0000 400\n",
- " wavlm Self-supervised 0.3923 0.0000 400\n",
- " rawnet3 Supervised 0.3856 0.0000 400\n",
- " hubert Self-supervised 0.3829 0.0000 400\n",
- " titanet Supervised 0.3792 0.0000 400\n",
- " xlsr Self-supervised 0.3771 0.0000 400\n",
- " wav2vec2 Self-supervised 0.3569 0.0000 400\n",
- " ecapa_tdnn Supervised 0.3393 0.0000 400\n",
- " whisper Weakly supervised 0.1274 0.0092 400\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Mantel test: permute the model-side vector and compute empirical p-value.\n",
"\n",
@@ -2694,28 +1653,6 @@
"print(rsa_df.round(4).to_string(index=False))"
]
},
- {
- "cell_type": "markdown",
- "id": "cell_027_interp",
- "metadata": {},
- "source": [
- "### Section 5: Interpretation\n",
- "\n",
- "The speaker-level RDM (Types 4+5, 400 within-group off-diagonal entries) produces a ranking that **differs from pair-level Pearson r** in the middle tier:\n",
- "\n",
- "- Supervised: resemblyzer 0.535, x-vector 0.475, RawNet3 0.374, TitaNet 0.367, ECAPA-TDNN 0.329.\n",
- "- SSL (best-layer): WavLM 0.389, HuBERT 0.382, XLS-R 0.375, wav2vec 2.0 0.355.\n",
- "- Whisper 0.126 (Mantel p = 0.011; weakest model).\n",
- "\n",
- "**resemblyzer leads on both metrics**, but the rest of the ordering changes. **ECAPA-TDNN is the weakest supervised model on the speaker-level RDM** despite its second-highest Pearson r. Best-layer SSL models (0.36--0.39) sit between x-vector and the weaker supervised models, overlapping with them. This shows that models that rank individual voice pairs well are not necessarily models that preserve the speaker-to-speaker population map.\n",
- "\n",
- "**Whisper is a consistent outlier.** Its RDM correlation of 0.126 is significant (Mantel p = 0.011) but more than three times below every other model. This is consistent with its multitask ASR training discarding speaker-specific information at every layer.\n",
- "\n",
- "**Morph stimuli (Type 6) are not used in the RDM.** Aggregating morphs into a speaker-pair cell would conflate speaker-pair geometry with morph-trajectory geometry; a scale-0.5 morph is neither A nor B, so the \"comp speaker B\" label breaks down. Morph-trajectory behavior is examined separately via the Type 6 scale-by-scale curves (supplementary figure).\n",
- "\n",
- "**Scientific implication.** Pair-level and speaker-level metrics probe complementary properties. Strong pair-level alignment does not guarantee strong speaker-level geometry, and vice versa; benchmarks should report both."
- ]
- },
{
"cell_type": "markdown",
"id": "part_III_divider",
@@ -2749,7 +1686,7 @@
},
{
"cell_type": "code",
- "execution_count": 27,
+ "execution_count": null,
"id": "cell_030",
"metadata": {
"execution": {
@@ -2759,32 +1696,7 @@
"shell.execute_reply": "2026-04-22T16:24:02.464293Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Cross-type transfer (REAL->SYNTH) with proper MSE/R^2 metrics:\n",
- "Columns:\n",
- " R2_transfer: R^2 on synthetic using linear map fit on REAL\n",
- " R2_oracle: R^2 on synthetic using linear map fit on SYNTHETIC itself (oracle)\n",
- " R2_gap: difference -- positive means real->synth transfer is LOSSY\n",
- " slope/intercept: reveal whether the real and synth mappings differ\n",
- "\n",
- " model R2_transfer R2_oracle R2_gap slope_real slope_synth intercept_real intercept_synth\n",
- " whisper -0.1457 0.0455 0.1912 22.9004 10.8986 -22.2535 -10.4315\n",
- " xlsr 0.0033 0.1858 0.1825 4.9458 2.6242 -4.0101 -1.9717\n",
- " xvector 0.1408 0.3122 0.1714 10.5981 6.4585 -9.5866 -5.7224\n",
- " wav2vec2 0.0449 0.1921 0.1473 1.8367 1.1045 -0.8944 -0.4209\n",
- " rawnet3 0.1845 0.3301 0.1457 0.8226 0.6739 0.1046 0.0834\n",
- " hubert 0.0392 0.1790 0.1399 1.6520 0.9722 -0.7325 -0.3053\n",
- " wavlm 0.1314 0.2232 0.0918 1.6428 1.0092 -0.6885 -0.2836\n",
- " titanet 0.2658 0.3509 0.0851 0.8015 0.6903 0.1440 0.1196\n",
- "resemblyzer 0.2974 0.3793 0.0819 2.4693 1.9108 -1.3698 -1.0148\n",
- " ecapa_tdnn 0.2823 0.3618 0.0795 0.8154 0.7242 0.1548 0.1217\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Cross-stimulus-type transfer: train Platt-scaled predictor on real, test on synthetic\n",
"# Use MSE and noise-ceiling-normalized R^2 on raw predicted values -- NOT Pearson r,\n",
@@ -2937,32 +1849,6 @@
" plt.show()\n"
]
},
- {
- "cell_type": "markdown",
- "id": "cell_031_interp",
- "metadata": {},
- "source": [
- "### Section 6: Interpretation\n",
- "\n",
- "**With best-layer SSL, real-to-synthetic transfer is no longer catastrophic.** The earlier finding of deeply negative R^2 for SSL models (when using last-layer) was substantially a layer-choice artifact. With nested-CV best-layer SSL, R^2_transfer is near-zero or weakly positive for most models:\n",
- "- Supervised: positive R^2_transfer (0.14-0.30); oracle R^2 is 0.31-0.38; R^2 gap ~0.08-0.17.\n",
- "- SSL (best-layer): near-zero R^2_transfer (0.003-0.13); oracle R^2 is 0.18-0.22; R^2 gap ~0.09-0.18.\n",
- "- Whisper is the clear exception: R^2_transfer = -0.15, R^2_oracle = 0.05, gap = 0.19.\n",
- "\n",
- "**The slope differences persist but vary in magnitude.** For most models, the real-speech calibration slope is 1.1-2.1x steeper than the synthetic-speech slope. Representative values:\n",
- "- wav2vec2: slope_real=1.84, slope_synth=1.10 (ratio 1.66)\n",
- "- HuBERT: slope_real=1.65, slope_synth=0.97 (ratio 1.70)\n",
- "- Whisper: slope_real=22.9, slope_synth=10.9 (ratio 2.10; large magnitudes reflect Whisper's narrow cosim range)\n",
- "- resemblyzer: slope_real=2.47, slope_synth=1.91 (ratio 1.29)\n",
- "- ECAPA-TDNN: slope_real=0.82, slope_synth=0.72 (ratio 1.13)\n",
- "\n",
- "Supervised models (ECAPA-TDNN, TitaNet, RawNet3) have slope ratios closest to 1.0, meaning their real-vs-synthetic calibration curves are most similar.\n",
- "\n",
- "**Scientific implication.** Voice cloning and interpolation produce systematic distribution shifts in cosine similarity even when the representation captures identity well. A benchmark that evaluates only on real speech mis-estimates synthetic-speech calibration. This is now a calibration issue rather than a representation failure.\n",
- "\n",
- "**Paper framing.** The real\u2192synth transfer finding is a **methodological warning**: regardless of architecture, a model deployed for voice-clone evaluation needs its similarity-to-probability mapping calibrated on synthetic data, not just real data. The effect is largest for weaker models (Whisper) but present for all."
- ]
- },
{
"cell_type": "markdown",
"id": "cell_032",
@@ -2986,7 +1872,7 @@
},
{
"cell_type": "code",
- "execution_count": 29,
+ "execution_count": null,
"id": "cell_033",
"metadata": {
"execution": {
@@ -2996,17 +1882,7 @@
"shell.execute_reply": "2026-04-22T16:24:03.134575Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Mean human entropy: 0.7537\n",
- "Median human entropy: 0.8813\n",
- "Pairs with high disagreement (entropy > 0.9): 3167\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Human disagreement: entropy of vote distribution per pair\n",
"def binary_entropy(p):\n",
@@ -3025,7 +1901,7 @@
},
{
"cell_type": "code",
- "execution_count": 30,
+ "execution_count": null,
"id": "cell_034",
"metadata": {
"execution": {
@@ -3035,26 +1911,7 @@
"shell.execute_reply": "2026-04-22T16:24:03.235070Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Model confidence vs human agreement:\n",
- " model r_confidence_agreement p\n",
- "resemblyzer 0.3440 0.0\n",
- " xvector 0.3033 0.0\n",
- " ecapa_tdnn 0.2853 0.0\n",
- " titanet 0.2764 0.0\n",
- " rawnet3 0.2755 0.0\n",
- " wavlm 0.2415 0.0\n",
- " hubert 0.2185 0.0\n",
- " wav2vec2 0.2167 0.0\n",
- " xlsr 0.2094 0.0\n",
- " whisper 0.1082 0.0\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Can models predict human disagreement?\n",
"disagree_results = []\n",
@@ -3087,7 +1944,7 @@
},
{
"cell_type": "code",
- "execution_count": 31,
+ "execution_count": null,
"id": "cell_035",
"metadata": {
"execution": {
@@ -3097,33 +1954,7 @@
"shell.execute_reply": "2026-04-22T16:24:03.252797Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "High-disagreement pairs: 3167\n",
- "\n",
- "By stimulus type:\n",
- "stimuli_type\n",
- "1 2\n",
- "2 149\n",
- "3 177\n",
- "4 110\n",
- "5 99\n",
- "6 2630\n",
- "Name: count, dtype: int64\n",
- "\n",
- "Proportion of each type that is high-disagreement:\n",
- " Type 1: 2/100 = 2.0%\n",
- " Type 2: 149/400 = 37.2%\n",
- " Type 3: 177/400 = 44.2%\n",
- " Type 4: 110/400 = 27.5%\n",
- " Type 5: 99/400 = 24.8%\n",
- " Type 6: 2630/8100 = 32.5%\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Characterize high-disagreement pairs\n",
"high_disagree = df[df['human_entropy'] > 0.9].copy()\n",
@@ -3137,25 +1968,6 @@
" print(f' Type {stype}: {high}/{total} = {high/total:.1%}')"
]
},
- {
- "cell_type": "markdown",
- "id": "cell_035_interp",
- "metadata": {},
- "source": [
- "### Section 7: Interpretation\n",
- "\n",
- "**Substantial human disagreement exists.** Mean pair-level entropy is 0.75 and 32% of pairs (3,167 of 9,800) have entropy > 0.9 (near-maximal disagreement).\n",
- "\n",
- "**High-disagreement pairs are concentrated in Type 3 (clones, 44%) and Type 6 (blends, 33%)** -- exactly the stimulus types designed to probe identity boundaries. Type 1 (same audio) has only 2% high-disagreement pairs, confirming it is a reliable baseline.\n",
- "\n",
- "**Model confidence modestly predicts human agreement.** Correlations between model confidence (distance from optimal threshold) and human agreement (1 - entropy):\n",
- "- Supervised: 0.28-0.34 (resemblyzer 0.34, x-vector 0.30, ECAPA-TDNN 0.29, TitaNet 0.28, RawNet3 0.28).\n",
- "- SSL (best-layer): 0.21-0.24 (WavLM 0.24, HuBERT 0.22, wav2vec2 0.22, XLS-R 0.21).\n",
- "- Whisper: 0.11.\n",
- "\n",
- "**Practical implication.** No current model reliably flags pairs humans will find ambiguous -- even the best model achieves only r=0.34. For confidence-aware verification systems, additional signals (e.g., stimulus-level features, listener priors, context) would be needed to anticipate disagreement zones."
- ]
- },
{
"cell_type": "markdown",
"id": "part_IV_divider",
@@ -3196,7 +2008,7 @@
},
{
"cell_type": "code",
- "execution_count": 32,
+ "execution_count": null,
"id": "cell_037",
"metadata": {
"execution": {
@@ -3206,17 +2018,7 @@
"shell.execute_reply": "2026-04-22T16:24:03.267179Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Mahalanobis metric learning with 10-fold speaker-level CV...\n",
- "(This may take a few minutes for high-dimensional models)\n",
- "\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Learn per-dimension weights (diagonal Mahalanobis) via cross-validation\n",
"from scipy.special import expit as sigmoid\n",
@@ -3439,26 +2241,6 @@
" plt.show()\n"
]
},
- {
- "cell_type": "markdown",
- "id": "cell_039_interp",
- "metadata": {},
- "source": [
- "### Section 8: Interpretation\n",
- "\n",
- "**Protocol.** Mahalanobis learning uses each model's **main-benchmark embedding**: supervised models use their native output (192-512 dim); SSL models use the **per-fold best-layer embedding** (consistent with Section 2 and all downstream analyses). High-dimensional embeddings (> 256 dim) are reduced to 50 dim via PCA to keep parameter count tractable.\n",
- "\n",
- "**For supervised models, Mahalanobis does NOT improve over isotropic distance** (deltas near zero or negative: resemblyzer -0.032, ECAPA-TDNN -0.014, RawNet3 -0.005, TitaNet -0.002, x-vector +0.014). Supervised speaker embeddings are already approximately isotropically aligned with human identity perception.\n",
- "\n",
- "**For best-layer SSL embeddings, Mahalanobis provides modest but consistent improvement** (XLS-R +0.035, HuBERT +0.032, wav2vec2 +0.028, WavLM +0.019, Whisper +0.104). SSL representations, even at their best-aligned layer, contain identity-relevant information distributed non-uniformly across dimensions. Learned reweighting helps, but not enough to close the supervised-vs-SSL gap (SSL Mahalanobis R^2 remains 0.18-0.20 vs supervised 0.32-0.40).\n",
- "\n",
- "**Whisper's anomalously large Mahalanobis gain** (+0.104) is notable: its representations are dominated by ASR-relevant features that are largely orthogonal to speaker identity, so a learned metric can preferentially weight the small subset of dimensions carrying speaker information. Its absolute ceiling remains low (R^2=0.13).\n",
- "\n",
- "**Practical recommendation.** For supervised speaker embeddings, simple cosine similarity is optimal. For best-layer SSL representations, a learned diagonal metric yields a small non-trivial improvement but does not close the supervised gap.\n",
- "\n",
- "**Limitation.** We use only a diagonal (per-dimension) Mahalanobis. A full-matrix metric could capture cross-dimension interactions but would need more data or stronger regularization."
- ]
- },
{
"cell_type": "markdown",
"id": "part_V_divider",
@@ -3602,22 +2384,6 @@
" f'[{ci_low[top_idx, j]:+.4f}, {ci_high[top_idx, j]:+.4f}] q_BH = {q_matrix[top_idx, j]:.4f}')\n"
]
},
- {
- "cell_type": "markdown",
- "id": "sec09_interp",
- "metadata": {},
- "source": [
- "### Section 9: Interpretation\n",
- "\n",
- "**Of 45 unique pairwise comparisons between the 10 models, 43 are statistically significant under Benjamini-Hochberg false-discovery-rate control at $\\alpha = 0.05$.** The two non-significant comparisons sit within the SSL middle tier (wav2vec 2.0 vs XLS-R, BH q=0.367; HuBERT vs XLS-R, BH q=0.288). The resemblyzer vs ECAPA-TDNN comparison is significant but only marginally so (BH q=0.049), placing those two on adjacent boundaries of the supervised top tier rather than as a clean joint tier.\n",
- "\n",
- "**Supervised-vs-SSL separations are all highly significant** (diff > 0.08, BH q $\\ll$ 0.05), substantially smaller in absolute magnitude than the 0.38 gap a last-layer-only SSL protocol would produce.\n",
- "\n",
- "**Within the SSL cluster**, WavLM (r=0.510) is significantly ahead of every other SSL model (BH q < 0.05). The remaining three SSL models (wav2vec 2.0, XLS-R, HuBERT) overlap (XLS-R is not significantly different from wav2vec 2.0 or HuBERT under BH).\n",
- "\n",
- "**For the paper:** the three-tier structure (supervised > SSL > Whisper) is supported, with within-tier ties documented in the BH q matrix. Include the pairwise significance heatmap as a supplementary figure."
- ]
- },
{
"cell_type": "markdown",
"id": "sec10_header",
@@ -3784,34 +2550,6 @@
" print(f' {model_name:15s} acc={acc:.4f} beats {pct:.1f}% of individual humans')\n"
]
},
- {
- "cell_type": "markdown",
- "id": "sec10_interp",
- "metadata": {},
- "source": [
- "### Section 10: Interpretation\n",
- "\n",
- "**What the numbers say.** Of 1,290 total participants, 457 completed at least 25 trials (the minimum needed for a reliable per-participant accuracy estimate). Their mean agreement with the leave-one-out population consensus is 0.73 (std 0.09, range 0.34-0.94). The wide range reflects that this set includes listeners who completed enough trials for a reliable estimate but did not pass the PNAS-preregistered quality filter, including some low-agreement individuals.\n",
- "\n",
- "Model agreement (at each model's optimal threshold):\n",
- "- **resemblyzer (Acc=0.80) beats 82% of individual humans.**\n",
- "- **ECAPA-TDNN (0.79) beats 78%** of individual humans.\n",
- "- TitaNet (0.78) beats 76%; RawNet3 (0.78) beats 76%; x-vector (0.77) beats 72%.\n",
- "- Best-layer SSL: HuBERT (0.72) beats 37%, wav2vec2 (0.71) beats 31%, WavLM (0.70) beats 28%, XLS-R (0.70) beats 25%.\n",
- "- Whisper (0.64) beats only 14% of individual humans.\n",
- "\n",
- "**Headline statement for the paper:** State-of-the-art supervised speaker embeddings agree with the population-consensus voice-identity label more often than **76-82% of individual listeners** who completed enough trials. Best-layer SSL models reach **25-37%** of the human distribution. Even Whisper, the weakest benchmarked model, matches some 14% of listeners.\n",
- "\n",
- "**What we do NOT claim.** Models are NOT \"more accurate than humans\" in an absolute sense; the population consensus itself is probabilistic for ambiguous pairs (voice clones, mid-blends). The claim is about consensus alignment: models rank and decide in closer agreement with the population than the majority of individuals do.\n",
- "\n",
- "**Connection to the noise ceiling.** The 61%-of-ceiling gap in Section 3 and the individual-human baseline describe the same listener-variability phenomenon from two angles: individual humans also fall short of the population consensus (mean individual agreement = 0.73 vs. model-to-consensus agreement = 0.80 for the best model). Closing the remaining gap requires modeling listener heterogeneity (e.g., listener-conditioned embeddings, personalized identity thresholds), not better speaker representations per se.\n",
- "\n",
- "**Limitations.**\n",
- "1. The consensus is drawn from a specific US-English crowdworker pool; a different population would produce a different consensus.\n",
- "2. The >=25-trials filter is a statistical requirement for reliable per-participant accuracy estimation, not a quality filter; it leaves a listener distribution that includes both high-engagement and low-engagement responders.\n",
- "3. Model thresholds were tuned on the full majority-vote labels (Section 4), giving models a mild tuning advantage over individual humans. A fully nested protocol would slightly reduce the model percentiles but not change the ordering."
- ]
- },
{
"cell_type": "markdown",
"id": "sec11_header",
@@ -3827,7 +2565,7 @@
},
{
"cell_type": "code",
- "execution_count": 37,
+ "execution_count": null,
"id": "sec11_code",
"metadata": {
"execution": {
@@ -3837,31 +2575,7 @@
"shell.execute_reply": "2026-04-22T16:24:20.160647Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Pairs excluding Type 6: 1700\n",
- "Binary-classifiable (exclude ties): 1594\n",
- "\n",
- "Type 6 ablation: metrics with and without blended voices:\n",
- " model r (Types 1-6) r (Types 1-5 only) r delta AUC (Types 1-6) AUC (Types 1-5 only) AUC delta\n",
- "resemblyzer 0.6557 0.8036 0.1479 0.8722 0.9293 0.0571\n",
- " titanet 0.6381 0.7944 0.1563 0.8614 0.9213 0.0599\n",
- " ecapa_tdnn 0.6456 0.7910 0.1455 0.8621 0.9180 0.0558\n",
- " rawnet3 0.6171 0.7736 0.1565 0.8511 0.9128 0.0616\n",
- " xvector 0.5973 0.7618 0.1645 0.8573 0.9181 0.0607\n",
- " wavlm 0.5098 0.6151 0.1053 0.7897 0.8220 0.0323\n",
- " xlsr 0.4651 0.5911 0.1260 0.7817 0.8110 0.0293\n",
- " wav2vec2 0.4714 0.5731 0.1016 0.7703 0.7996 0.0293\n",
- " hubert 0.4577 0.5685 0.1108 0.7653 0.7989 0.0335\n",
- " whisper 0.2258 0.2030 -0.0228 0.6505 0.6485 -0.0021\n",
- "\n",
- "Spearman rank correlation between full-set and Type-1-5-only rankings: 0.9758\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Recompute Pearson r and AUC on Types 1-5 only (exclude Type 6 blends)\n",
"\n",
@@ -3913,20 +2627,6 @@
"print(f'\\nSpearman rank correlation between full-set and Type-1-5-only rankings: {rank_corr:.4f}')"
]
},
- {
- "cell_type": "markdown",
- "id": "sec11_interp",
- "metadata": {},
- "source": [
- "### Section 11: Interpretation\n",
- "\n",
- "**Rankings are essentially preserved** when Type 6 is excluded: Spearman rank correlation between full-set and Types-1-5-only rankings is 0.976. Absolute Pearson r *increases* on the Types-1-5 subset for every model except Whisper (deltas typically +0.10 to +0.17). Type 6 has high within-pair noise (many blend stimuli at each ratio, judged by few participants each), which drags down pair-level correlations. The blended stimuli make the benchmark harder, not easier.\n",
- "\n",
- "**Whisper is the one exception**: its Type-6-excluded r (0.203) is *below* its full-set r (0.226) -- the only model whose performance worsens without blends. This reflects that Whisper's small residual identity signal is most visible over Type 6's wide P(same) range; on the narrower range of Types 1-5, what little signal it has is buried in noise. This is another indicator of Whisper's weak speaker representation rather than a property of the benchmark.\n",
- "\n",
- "**Implication for the paper.** The benchmark's conclusions hold without Type 6. Model rankings reflect genuine voice-identity perception alignment rather than an artifact of the blended-voice stimulus type. The Type-6-excluded table belongs in the supplementary material as a robustness check."
- ]
- },
{
"cell_type": "markdown",
"id": "sec12_header",
@@ -4017,27 +2717,6 @@
"plt.show()"
]
},
- {
- "cell_type": "markdown",
- "id": "sec12_interp",
- "metadata": {},
- "source": [
- "### Section 12: Interpretation\n",
- "\n",
- "**Gender disparities are small for all benchmark-competitive models.** Max gender gap |r_female - r_male|:\n",
- "- Supervised: 0.001-0.014 (ECAPA-TDNN 0.001, resemblyzer 0.002, TitaNet 0.011, RawNet3 0.013, x-vector 0.014). Effectively gender-neutral.\n",
- "- SSL (best-layer): 0.003-0.014 (WavLM 0.003, HuBERT 0.003, wav2vec2 0.014, XLS-R 0.014). Also effectively neutral.\n",
- "- **Whisper** shows a substantially larger disparity (0.122) -- male speakers are far better predicted than female. This is consistent with Whisper's training corpus having known gender imbalances.\n",
- "\n",
- "**Sociophonetic group disparities (max-min across 5 groups) cluster around 0.11-0.17 for all models.** Groups 1-3 tend to be best-predicted, Groups 4-5 worst. Because the pattern holds across supervised and SSL families, it likely reflects stimulus-level variability between groups rather than model-specific bias.\n",
- "\n",
- "**Best-layer SSL substantially improved gender fairness** compared to last-layer SSL. Earlier last-layer numbers showed SSL gender gaps of 0.05-0.08; with best-layer selection these drop to 0.003-0.014. The suppression of speaker-relevant features in deeper SSL layers was partially gender-correlated; early layers encode identity more uniformly across gender.\n",
- "\n",
- "**Caveats.** With 20 speakers per group and 50 per gender, statistical power for small subgroup-difference tests is modest. We report descriptive disparities, not inferential tests. Fairness certification would require a larger and more demographically stratified speaker pool.\n",
- "\n",
- "**For the paper.** The gender-equitable result holds for all models except Whisper. Sociophonetic disparities are a limitation worth flagging but not model-specific."
- ]
- },
{
"cell_type": "markdown",
"id": "sec13_header",
@@ -4058,7 +2737,7 @@
},
{
"cell_type": "code",
- "execution_count": 39,
+ "execution_count": null,
"id": "sec13_code",
"metadata": {
"execution": {
@@ -4068,50 +2747,7 @@
"shell.execute_reply": "2026-04-22T16:24:21.499697Z"
}
},
- "outputs": [
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "Reused wav2vec2_layers from Section 2: 9900 clips, shape (13, 768)\n",
- "Reused hubert_layers from Section 2: 9900 clips, shape (13, 768)\n",
- "Reused wavlm_layers from Section 2: 9900 clips, shape (13, 768)\n",
- "Reused xlsr_layers from Section 2: 9900 clips, shape (25, 1024)\n",
- "Reused whisper_layers from Section 2: 9900 clips, shape (7, 512)\n",
- "[cache HIT] layer_alignment: Per-layer Pearson r for SSL models\n",
- "\n",
- "wav2vec2 (13 layers):\n",
- " per-layer r: [np.float64(0.471), np.float64(0.457), np.float64(0.459), np.float64(0.436), np.float64(0.413), np.float64(0.396), np.float64(0.382), np.float64(0.363), np.float64(0.369), np.float64(0.391), np.float64(0.387), np.float64(0.21), np.float64(0.223)]\n",
- " best layer: 0 (r=0.4714)\n",
- " last layer (L=12, naive out-of-the-box baseline; NOT used in main benchmark): r=0.2232\n",
- " improvement from layer selection: +0.2482\n",
- "\n",
- "hubert (13 layers):\n",
- " per-layer r: [np.float64(0.48), np.float64(0.478), np.float64(0.407), np.float64(0.384), np.float64(0.359), np.float64(0.351), np.float64(0.344), np.float64(0.323), np.float64(0.307), np.float64(0.301), np.float64(0.308), np.float64(0.333), np.float64(0.269)]\n",
- " best layer: 0 (r=0.4795)\n",
- " last layer (L=12, naive out-of-the-box baseline; NOT used in main benchmark): r=0.2692\n",
- " improvement from layer selection: +0.2103\n",
- "\n",
- "wavlm (13 layers):\n",
- " per-layer r: [np.float64(0.51), np.float64(0.491), np.float64(0.456), np.float64(0.433), np.float64(0.432), np.float64(0.412), np.float64(0.384), np.float64(0.351), np.float64(0.3), np.float64(0.269), np.float64(0.27), np.float64(0.148), np.float64(0.227)]\n",
- " best layer: 0 (r=0.5098)\n",
- " last layer (L=12, naive out-of-the-box baseline; NOT used in main benchmark): r=0.2271\n",
- " improvement from layer selection: +0.2827\n",
- "\n",
- "xlsr (25 layers):\n",
- " per-layer r: [np.float64(0.459), np.float64(0.465), np.float64(0.445), np.float64(0.438), np.float64(0.436), np.float64(0.455), np.float64(0.41), np.float64(0.379), np.float64(0.376), np.float64(0.366), np.float64(0.347), np.float64(0.328), np.float64(0.324), np.float64(0.32), np.float64(0.325), np.float64(0.328), np.float64(0.335), np.float64(0.361), np.float64(0.4), np.float64(0.408), np.float64(0.253), np.float64(0.293), np.float64(0.031), np.float64(0.03), np.float64(0.027)]\n",
- " best layer: 1 (r=0.4651)\n",
- " last layer (L=24, naive out-of-the-box baseline; NOT used in main benchmark): r=0.0270\n",
- " improvement from layer selection: +0.4381\n",
- "\n",
- "whisper (7 layers):\n",
- " per-layer r: [np.float64(0.094), np.float64(0.104), np.float64(0.148), np.float64(0.226), np.float64(0.113), np.float64(0.069), np.float64(0.06)]\n",
- " best layer: 3 (r=0.2258)\n",
- " last layer (L=6, naive out-of-the-box baseline; NOT used in main benchmark): r=0.0604\n",
- " improvement from layer selection: +0.1655\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Layer-wise alignment for SSL models (reuses layer_embs from Section 2; cached)\n",
"\n",
@@ -4184,7 +2820,7 @@
},
{
"cell_type": "code",
- "execution_count": 40,
+ "execution_count": null,
"id": "sec13_plot",
"metadata": {
"execution": {
@@ -4194,36 +2830,7 @@
"shell.execute_reply": "2026-04-22T16:24:21.982008Z"
}
},
- "outputs": [
- {
- "data": {
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",
- "text/plain": [
- ""
- ]
- },
- "metadata": {},
- "output_type": "display_data"
- },
- {
- "name": "stdout",
- "output_type": "stream",
- "text": [
- "\n",
- "SSL last-layer vs best-layer summary:\n",
- " model n_layers r_last_layer (used in main) r_best_layer best_layer_index best_layer_norm improvement\n",
- "wav2vec2 13 0.2232 0.4714 0 0.000 0.2482\n",
- " hubert 13 0.2692 0.4795 0 0.000 0.2103\n",
- " wavlm 13 0.2271 0.5098 0 0.000 0.2827\n",
- " xlsr 25 0.0270 0.4651 1 0.042 0.4381\n",
- " whisper 7 0.0604 0.2258 3 0.500 0.1655\n",
- "\n",
- "Best supervised model: r = 0.6557\n",
- "Best SSL (last layer): r = 0.2692 (gap to supervised: 0.3864)\n",
- "Best SSL (best layer): r = 0.5098 (gap to supervised: 0.1458)\n"
- ]
- }
- ],
+ "outputs": [],
"source": [
"# Plot: Pearson r vs normalized layer index for the four SSL models.\n",
"# Whisper is excluded -- it is weakly supervised, not SSL.\n",
@@ -4293,28 +2900,6 @@
"print(f'Best SSL (best layer): r = {best_ssl_best_r:.4f} (gap to supervised: {best_sup_r - best_ssl_best_r:.4f})')\n"
]
},
- {
- "cell_type": "markdown",
- "id": "sec13_interp",
- "metadata": {},
- "source": [
- "### Section 13: Interpretation\n",
- "\n",
- "**Per-layer alignment (Pearson r with P(same)) reveals consistent patterns:**\n",
- "- **wav2vec2, HuBERT, WavLM, XLS-R**: speaker information peaks at or near layer 0 (CNN feature-projection output) or layer 1 (first transformer block), and declines monotonically in deeper layers. By the final layer, alignment drops substantially (e.g., WavLM: 0.50 at layer 0 -> 0.22 at layer 12; XLS-R: 0.46 at layer 1 -> 0.03 at layer 24).\n",
- "- **Whisper is different.** Its alignment peaks at layer 3 (middle of the 7-layer encoder) at only r=0.22, and both earlier and later layers are weaker. This reflects Whisper's multitask ASR training: speaker identity is not preserved at any depth.\n",
- "- **XLS-R's last 3 layers (22-24) are near-chance for speaker identity.** These layers specialize toward multilingual phonetic discrimination, not speaker features. Using XLS-R's last layer (as the out-of-the-box default would) gives r = 0.03 -- effectively useless for speaker verification. The nested-CV best-layer protocol (Section 2) correctly identifies layer 1 instead.\n",
- "\n",
- "**Diagnostic for the main benchmark:** The nested-CV layer selection consistently picks layers 0 or 1 for wav2vec2/HuBERT/WavLM/XLS-R and layer 3 for Whisper. These selections are stable across the 10 CV folds (verified by the `best_layer_per_fold` dictionary computed in Section 2), meaning the layer choice is not fragile to which speakers are held out.\n",
- "\n",
- "**Why last-layer would be misleading.** If the benchmark reported only last-layer SSL numbers (the naive default), it would:\n",
- "- Undersell wav2vec2 (0.22 instead of 0.46), HuBERT (0.27 vs 0.47), WavLM (0.22 vs 0.50).\n",
- "- Catastrophically mis-evaluate XLS-R (0.03 vs 0.46) -- reporting XLS-R as worse than chance, when it is actually competitive with wav2vec2/HuBERT.\n",
- "- Be unfair to the SSL family overall, inflating the supervised-vs-SSL gap from ~0.14 to ~0.38.\n",
- "\n",
- "**For the paper:** the main benchmark numbers (Sections 3-12) already use nested-CV best-layer for SSL. Section 13 is a methodological supplement that documents this choice and provides the per-layer transparency that reviewers will want. We also report last-layer r as a separate column in the grand summary table (Section 14) for anyone interested in zero-shot / out-of-the-box SSL performance."
- ]
- },
{
"cell_type": "markdown",
"id": "part_VI_divider",
@@ -4418,42 +3003,6 @@
"print('=' * 115)\n",
"print(summary.round(4).to_string(index=False))\n"
]
- },
- {
- "cell_type": "markdown",
- "id": "cell_042",
- "metadata": {},
- "source": [
- "### Key Findings\n",
- "\n",
- "1. **Supervised speaker embeddings predict human identity judgments best, but SSL models are competitive with fair layer selection.** On the 124,876-judgment full dataset, top supervised models (resemblyzer r=0.656, ECAPA-TDNN r=0.646) are at the boundary of the top supervised tier (BH q=0.049, marginally significant). Best-layer SSL models (WavLM r=0.510, wav2vec2 r=0.471, XLS-R r=0.465, HuBERT r=0.458) are 0.15-0.20 below the top supervised tier -- a real but substantially smaller gap than last-layer SSL comparisons would suggest. Whisper (r=0.226) is the exception: its multitask ASR training suppresses speaker identity at all layers.\n",
- "\n",
- "2. **Significance matters.** Of 45 pairwise model comparisons, 43 are significant after Benjamini-Hochberg FDR correction at $\\alpha=0.05$. The two non-significant pairs sit within the top supervised tier (resemblyzer/ECAPA-TDNN) or within middle-SSL clusters.\n",
- "\n",
- "3. **The best supervised models match or exceed the majority of individual human listeners.** resemblyzer agrees with the leave-one-out population consensus more often than 82% of individual listeners; ECAPA-TDNN beats 78%; TitaNet, RawNet3, and x-vector each beat 72-76%. State-of-the-art supervised speaker embeddings agree with population-consensus voice-identity labels more often than the majority of participants.\n",
- "\n",
- "4. **Best-layer SSL models fall in the middle of the human distribution.** HuBERT beats 37% of individual listeners, wav2vec2 31%, WavLM 28%, XLS-R 25%, Whisper 14%. Fair layer selection moves SSL models from \"almost no one beats them\" (last-layer protocol) to \"a third of individuals beats them.\"\n",
- "\n",
- "5. **The 61%-of-ceiling gap is listener variability, not representational inadequacy.** The R^2 ceiling is 0.705 (from split-half reliability); the best model sits at 0.430. Because individual humans also fall short of the population-average P(same) (mean individual agreement 0.73 vs best model 0.80), closing the gap requires modeling listener-level heterogeneity rather than a better speaker embedding.\n",
- "\n",
- "6. **Fair SSL evaluation requires non-default layer selection.** Using `last_hidden_state` (the HuggingFace default) drops SSL alignment by 0.16-0.43 vs best-layer selection (e.g., XLS-R: r=0.03 last layer vs r=0.46 layer 1). Section 13 documents this; the main benchmark uses nested speaker-CV best-layer selection throughout.\n",
- "\n",
- "7. **Calibration is mostly a scale problem.** Raw ECE is dominated by cosine-similarity-range mismatch. After Platt scaling, four of five supervised models achieve ECE_cal of 0.018-0.027, and four SSL models match (0.022-0.035). **x-vector is the lone calibration outlier** (ECE_cal = 0.136) even after Platt scaling.\n",
- "\n",
- "8. **Real-to-synthetic transfer is lossy but no longer catastrophic.** With best-layer SSL, R^2_transfer is near zero for all non-Whisper models (0.003-0.30); the main issue is slope/intercept shifts in the cosine-similarity-to-P(same) mapping. Whisper remains an outlier with R^2_transfer = -0.15. **Takeaway:** real-speech calibration is not a reliable proxy for synthetic-speech calibration; application-specific calibration on the relevant stimulus distribution is required.\n",
- "\n",
- "9. **Speaker-level population structure is captured well across model families.** Aggregating to speaker-pair RDM raises every model's alignment (best-layer SSL reaches 0.63-0.72 vs supervised 0.74-0.81). Whisper remains an outlier (0.40).\n",
- "\n",
- "10. **The benchmark is robust to Type 6 dominance.** Removing the 8,100 blended pairs yields rank correlation 0.976 with full-set rankings; absolute r increases for every model except Whisper, indicating Type 6 makes the benchmark harder, not easier.\n",
- "\n",
- "11. **Best-layer SSL largely eliminates gender disparities.** All 9 non-Whisper models have |r_M - r_F| < 0.015; Whisper alone shows a 0.12 gender disparity. Sociophonetic group disparities (~0.11-0.17) are uniform across models, suggesting stimulus-level rather than model-specific variability.\n",
- "\n",
- "12. **Models weakly predict human uncertainty.** Best-model confidence-vs-agreement correlation is 0.34 (resemblyzer). No model reliably flags pairs humans will find ambiguous.\n",
- "\n",
- "13. **Supervised embedding spaces are isotropic w.r.t. human perception; best-layer SSL is modestly anisotropic.** Diagonal Mahalanobis does not help supervised models (deltas ~-0.03 to +0.01) but yields small gains for best-layer SSL (+0.02 to +0.10). The gain does not close the supervised gap.\n",
- "\n",
- "14. **Voice clones are the hardest stimulus type.** Type 3 (same-speaker clones) has 44% high-disagreement pairs and shows systematically lower model-human alignment than real recordings of the same speaker."
- ]
}
],
"metadata": {