建立分批同步基线（基础文件）

2026-09-23 23:24:01 +08:00
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+# 问题一模型对比
+
+本目录实现问题一 PDF 第 4.8.3 节的 B0–B4 单因素对照。代码从附件一的 100 条原始视频和标签表开始，先生成统一的文本、语音、视觉特征，再在 0.1 秒主时间网格上进行五折 `video_id` 留组评估。
+
+## 运行
+
+在仓库根目录执行：
+
+```bash
+cd math
+uv sync
+uv run python compare_models.py
+```
+
+默认使用 CUDA（如果可用），需要可访问 Hugging Face 下载 BERT 与 Wav2Vec2 权重；MediaPipe Face Landmarker 权重会保存在 `math/cache/`。可用 `--device cpu` 指定 CPU。缓存保存在 `math/cache/native/`，中断后重跑会继续使用已完成样本。只有传入 `--force-extract` 才会重算全部原始特征。
+
+## 对照定义
+
+- **B0**：冻结 BERT 词向量、冻结 CTC Viterbi 词边界、物理时间区间投影；训练折均值/标准差缩放。
+- **B1**：B0 加训练折中位数/MAD 稳健缩放，并对面部旋转使用 SO(3) 均值、对视线代理使用单位向量均值。
+- **B2**：B1 只替换文本时间投影，使用 CTC 固定转写状态图的前向–后向词占据后验。音频/视频的 PTS 不变。
+- **B3**：B1 加音频 log-F0/能量和面部 jaw-open/嘴部开合率的一、二阶时间增广路径签名。缺测处会断开路径。
+- **B4**：B1 加冻结 Wav2Vec2-base-960h 最后四层的时间投影表示。
+
+每个模型以相同的五段时间池化探针评价极性和强度。分类器为固定 C=0.05 的逻辑回归，回归器为固定 alpha=25 的 Ridge；参数不按留出折调节。归一化器只使用训练折观测值。95% 差值区间以 `video_id` 为单位做 2,000 次配对 Bootstrap。
+
+文本维度为 768（BERT 最后四层、词内子词平均）；语音为 74 维（40 log-Mel、13 MFCC、13 ΔMFCC、8 韵律/谱量）；视觉为 35 维（17 个 MediaPipe blendshape 代理、6 维头姿、6 维近似视线、6 维面部比例几何）。MediaPipe blendshape 分数不等于 OpenFace AU 强度，视线为基于虹膜偏移的代理量；本次实现记录了实际所用索引与定义，没有将代理量称为 OpenFace 特征。
+
+硬边界质量由 CTC 发射分数得到，但不视为校准概率。聚合时按样本内有效词的中位分数归一化，并截断到 [0.25, 4]，仅作为相对质量权重。物理覆盖率仍以实际区间交叠计算。B2 的文本后验占据率是期望词活动质量，不能与物理覆盖率互换。
+
+没有人工词边界标注，因此结果不报告边界误差、IoU/MATE 或后验经验校准率。情感探针分数只检查当前特征视图保留标签信息的程度，不是对齐正确性的真值。
+
+## 结果文件
+
+完整结果在 [`results/model_comparison/`](results/model_comparison/)：
+
+- `report.md`：实验设置、主要结果和限制。
+- `comparison_summary.csv`、`fold_metrics.csv`：总体和分折指标。
+- `group_bootstrap_deltas.csv`：相对 B1 的视频组配对 Bootstrap 区间。
+- `oof_predictions.csv`：100 条留组预测。
+- `sample_alignment_summary.csv`、`modality_summary.csv`：100 行样本汇总与 300 行模态明细。
+- `word_alignment_posterior.csv`：逐词硬边界、未校准对齐分数、实际相对质量权重与模型内部边界区间。
+- `split_assignments.csv`、`run_manifest.json`：折号、文件哈希、模型 revision、运行环境和参数。
+- `comparison.png`：OOF 指标图。
@@ -0,0 +1,24 @@
+[project]
+name = "math-q1-comparison"
+version = "0.1.0"
+requires-python = ">=3.14"
+dependencies = [
+    "matplotlib>=3.11.2",
+    "mediapipe>=1.0.1",
+    "numpy>=2.5.2",
+    "opencv-python-headless>=5.0.0.93",
+    "openpyxl>=3.1.5",
+    "pillow>=12.3.0",
+    "scikit-learn>=1.9.1",
+    "scipy>=1.17.1",
+    "torch>=2.14.0",
+    "transformers>=5.17.0",
+]
+
+[tool.uv.sources]
+torch = { index = "pytorch" }
+
+[[tool.uv.index]]
+name = "pytorch"
+url = "https://download.pytorch.org/whl/cu130"
+explicit = true
@@ -0,0 +1,6 @@
+method,sample_count,video_group_count,oof_accuracy,oof_macro_f1,oof_mae,oof_pearson,fold_accuracy_mean,fold_accuracy_sd,fold_macro_f1_mean,fold_macro_f1_sd,fold_mae_mean,fold_mae_sd,fold_pearson_mean,fold_pearson_sd
+B0,100,37,0.6,0.3612633181126332,0.5642678308486938,0.34585652345724877,0.6,0.1274754878398196,0.33701813174429807,0.09810807621270928,0.5642678308486938,0.15030090846290933,0.40788979900767275,0.06001860958324475
+B1,100,37,0.61,0.387431302270012,0.5989421024918556,0.23765809617297712,0.61,0.1341640786499874,0.3493607699490052,0.11905440418044842,0.5989421024918556,0.15750913261096855,0.281166840616461,0.14435440813423514
+B2,100,37,0.58,0.33061794334825517,0.588000754788518,0.2790493470006418,0.5800000000000001,0.14404860290887933,0.3128829195495862,0.08742851668319461,0.588000754788518,0.14204292727229248,0.3331122890661654,0.08879703094318196
+B3,100,37,0.59,0.3587962962962963,0.5997931832820177,0.23011191320162028,0.5900000000000001,0.12942179105544785,0.33257284523004604,0.09564119982991781,0.5997931832820177,0.15746511520951317,0.2803250178248575,0.13217248970127823
+B4,100,37,0.6,0.4222603610475464,0.59276591360569,0.19864510121331094,0.6,0.13693063937629155,0.3976841268630668,0.08882960164587973,0.59276591360569,0.16014796281119822,0.24000288610371706,0.14964617105964673
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+method,fold,train_samples,valid_samples,train_video_groups,valid_video_groups,accuracy,macro_f1,mae,pearson,feature_dimension
+B0,1,80,20,31,6,0.75,0.29411764705882354,0.4224671095609665,0.39024875749849447,4385
+B1,1,80,20,31,6,0.75,0.29411764705882354,0.43092925772070884,0.3768780281745036,4385
+B2,1,80,20,31,6,0.75,0.2857142857142857,0.43804959058761594,0.3386523481377315,4385
+B3,1,80,20,31,6,0.75,0.29411764705882354,0.42625029012560844,0.3688530099245201,4455
+B4,1,80,20,31,6,0.8,0.42745098039215684,0.41526668667793276,0.3438838954822536,8225
+B0,2,80,20,30,7,0.6,0.3639846743295019,0.776566531509161,0.3958411255263523,4385
+B1,2,80,20,30,7,0.6,0.35714285714285715,0.8237437169998885,0.24091732574554836,4385
+B2,2,80,20,30,7,0.6,0.35714285714285715,0.7888965889811516,0.3639766310607314,4385
+B3,2,80,20,30,7,0.6,0.35714285714285715,0.8207762833684683,0.256615486910397,4455
+B4,2,80,20,30,7,0.6,0.3639846743295019,0.8059555269777775,0.19887966518486633,8225
+B0,3,80,20,29,8,0.65,0.44334975369458124,0.6439033597707748,0.4541649022346378,4385
+B1,3,80,20,29,8,0.7,0.5119047619047619,0.6599065795540809,0.3794933845977076,4385
+B2,3,80,20,29,8,0.6,0.35555555555555557,0.660385686159134,0.3833892851036205,4385
+B3,3,80,20,29,8,0.65,0.44334975369458124,0.6637263983488083,0.36870656729912815,4455
+B4,3,80,20,29,8,0.5,0.3956043956043956,0.6777055777609349,0.23098821201949785,8225
+B0,4,80,20,29,8,0.4,0.19047619047619047,0.5507291875779629,0.32319803952574416,4385
+B1,4,80,20,29,8,0.4,0.19047619047619047,0.6101470191031695,0.04446251878558958,4385
+B2,4,80,20,29,8,0.35,0.1728395061728395,0.5764139499515295,0.17960866044359325,4385
+B3,4,80,20,29,8,0.4,0.19047619047619047,0.6146079197525978,0.0589277387406542,4455
+B4,4,80,20,29,8,0.45,0.2792022792022792,0.607093845307827,0.018750134966085342,8225
+B0,5,80,20,29,8,0.6,0.39316239316239315,0.427672965824604,0.4759961702531348,4385
+B1,5,80,20,29,8,0.6,0.39316239316239315,0.46998393908143044,0.3640829457789559,4385
+B2,5,80,20,29,8,0.6,0.39316239316239315,0.4762579582631588,0.3999345205851506,4385
+B3,5,80,20,29,8,0.55,0.37777777777777777,0.4736050248146057,0.34852228624958836,4455
+B4,5,80,20,29,8,0.65,0.5221783047870004,0.45780793130397796,0.4075125228658822,8225
@@ -0,0 +1,17 @@
+comparison,metric,reference_oof,method_oof,delta_oof,group_bootstrap_ci95_low,group_bootstrap_ci95_high,bootstrap_repeats
+B0-B1,accuracy,0.61,0.6,-0.010000000000000009,-0.029710396039603987,0.0,2000
+B0-B1,macro_f1,0.387431302270012,0.3612633181126332,-0.02616798415737881,-0.08327057744765032,0.0,2000
+B0-B1,mae,0.5989421024918556,0.5642678308486938,-0.034674271643161836,-0.06304207975806683,-0.012443204964559182,2000
+B0-B1,pearson,0.23765809617297712,0.34585652345724877,0.10819842728427165,0.04340079372240924,0.19005024141624596,2000
+B2-B1,accuracy,0.61,0.58,-0.030000000000000027,-0.0648204607046071,0.0,2000
+B2-B1,macro_f1,0.387431302270012,0.33061794334825517,-0.05681335892175682,-0.10940517350156256,-0.0009457159449812041,2000
+B2-B1,mae,0.5989421024918556,0.588000754788518,-0.010941347703337656,-0.027305471624463586,0.004017100735475708,2000
+B2-B1,pearson,0.23765809617297712,0.2790493470006418,0.041391250827664705,-0.009244736549056344,0.10131359014731482,2000
+B3-B1,accuracy,0.61,0.59,-0.020000000000000018,-0.05154639175257736,0.0,2000
+B3-B1,macro_f1,0.387431302270012,0.3587962962962963,-0.02863500597371571,-0.07212177947137302,0.0,2000
+B3-B1,mae,0.5989421024918556,0.5997931832820177,0.000851080790162051,-0.004701075716562739,0.006246566925533936,2000
+B3-B1,pearson,0.23765809617297712,0.23011191320162028,-0.007546182971356841,-0.022226358336772584,0.005402452990031458,2000
+B4-B1,accuracy,0.61,0.6,-0.010000000000000009,-0.08080808080808077,0.06196073008849559,2000
+B4-B1,macro_f1,0.387431302270012,0.4222603610475464,0.034829058777534394,-0.051408708516982864,0.13655330256210496,2000
+B4-B1,mae,0.5989421024918556,0.59276591360569,-0.006176188886165668,-0.03045045264816862,0.015397113913740889,2000
+B4-B1,pearson,0.23765809617297712,0.19864510121331094,-0.039012994959666175,-0.1082683426423725,0.03034022099301614,2000
@@ -0,0 +1,301 @@
+sample_id,video_id,clip_id,modality,source_duration_s,observed_duration_s_mean_dimension,native_length,native_dimension,main_grid_length,grid_step_s,grid_dimension,mean_grid_coverage,status,source_video_sha256
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+-egA8-b7-3M/6,-egA8-b7-3M,6,2,positive,0.6666666865348816,2,2,2,2,2,0.8187044262886047,0.8529066443443298,0.7433335781097412,0.8614661693572998,0.7032537460327148
+-egA8-b7-3M/9,-egA8-b7-3M,9,2,positive,0.3333333432674408,2,2,2,2,2,0.746141791343689,0.755176305770874,0.7585423588752747,0.7326465845108032,0.7642356157302856
+-egA8-b7-3M/20,-egA8-b7-3M,20,2,positive,0.3333333432674408,2,2,2,2,2,0.75407874584198,0.783722460269928,0.7880091667175293,0.7994571924209595,0.7963440418243408
+-iRBcNs9oI8/3,-iRBcNs9oI8,3,2,positive,0.6666666865348816,2,2,2,2,2,0.41121792793273926,0.26391637325286865,0.16125774383544922,0.30018502473831177,0.22292546927928925
+-iRBcNs9oI8/7,-iRBcNs9oI8,7,2,positive,0.6666666865348816,2,2,2,2,2,0.6934136152267456,0.5427778959274292,0.5866559743881226,0.5839468240737915,0.5824995636940002
+-iRBcNs9oI8/6,-iRBcNs9oI8,6,2,positive,0.3333333432674408,2,2,2,2,2,0.4273873567581177,0.3189065456390381,0.3010154962539673,0.3516676127910614,0.32149577140808105
+-iRBcNs9oI8/9,-iRBcNs9oI8,9,2,positive,1.3333333730697632,2,2,1,2,2,0.01312372088432312,-0.0918610543012619,0.1977950930595398,-0.06410297751426697,-0.14683973789215088
+-iRBcNs9oI8/8,-iRBcNs9oI8,8,2,positive,1.0,2,2,2,2,2,0.45394086837768555,0.2737142741680145,0.34107109904289246,0.34081369638442993,0.36690521240234375
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+-tPCytz4rww/10,-tPCytz4rww,10,1,neutral,0.0,2,2,2,2,2,0.45396602153778076,0.48757827281951904,0.39305949211120605,0.48652955889701843,0.5163553357124329
+-tPCytz4rww/12,-tPCytz4rww,12,1,neutral,0.0,2,2,2,2,2,0.4888620376586914,0.47673290967941284,0.523354709148407,0.47867047786712646,0.5164443254470825
+-tPCytz4rww/16,-tPCytz4rww,16,1,neutral,0.0,2,2,2,2,2,0.16386589407920837,0.1889176368713379,0.15202002227306366,0.20772001147270203,0.10384060442447662
+-tPCytz4rww/18,-tPCytz4rww,18,1,neutral,0.0,2,2,2,2,2,0.39335885643959045,0.48845911026000977,0.4801775813102722,0.49252307415008545,0.5596518516540527
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+-wMB_hJL-3o/7,-wMB_hJL-3o,7,2,positive,0.3333333432674408,2,2,2,2,2,0.43083706498146057,0.3697093427181244,0.3281114399433136,0.3639947175979614,0.4309353828430176
+-wny0OAz3g8/1,-wny0OAz3g8,1,2,positive,0.3333333432674408,2,2,2,2,2,-0.029849499464035034,-0.0726122260093689,-0.024748489260673523,-0.07751013338565826,0.01515229046344757
+-wny0OAz3g8/0,-wny0OAz3g8,0,2,positive,0.3333333432674408,1,1,1,1,1,-0.26475363969802856,-0.4248991906642914,-0.3667675256729126,-0.43525469303131104,-0.2892696261405945
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+-wny0OAz3g8/5,-wny0OAz3g8,5,2,positive,1.0,2,2,2,2,2,0.4779983460903168,0.42994704842567444,0.3525465130805969,0.4249609410762787,0.4561484158039093
+-wny0OAz3g8/7,-wny0OAz3g8,7,1,neutral,0.0,2,2,2,2,2,0.14757554233074188,0.11216723173856735,0.15002727508544922,0.10439274460077286,0.08023504912853241
+-wny0OAz3g8/9,-wny0OAz3g8,9,2,positive,0.6666666865348816,2,2,2,2,2,0.18945443630218506,0.2243257611989975,0.255195677280426,0.2078581154346466,0.26747772097587585
+-571d8cVauQ/0,-571d8cVauQ,0,1,neutral,0.0,1,1,1,1,1,0.1813371479511261,0.26319703459739685,0.20845845341682434,0.2597145736217499,0.2923925817012787
+-571d8cVauQ/5,-571d8cVauQ,5,2,positive,0.3333333432674408,2,2,2,2,2,0.7947983145713806,0.8263474702835083,0.8470317125320435,0.8056427836418152,0.7695794105529785
+-I_e4mIh0yE/1,-I_e4mIh0yE,1,0,negative,-0.6666666865348816,1,1,2,1,2,-0.053890615701675415,0.05120442807674408,0.14258822798728943,0.058895498514175415,-0.0020049959421157837
+-I_e4mIh0yE/3,-I_e4mIh0yE,3,2,positive,0.6666666865348816,2,2,2,2,2,0.20941728353500366,0.2584538459777832,0.3930857181549072,0.27197059988975525,0.3383082151412964
+-UacrmKiTn4/10,-UacrmKiTn4,10,0,negative,-0.6666666865348816,2,2,2,2,2,-0.007775545120239258,0.10976105183362961,0.2304498553276062,0.1546456217765808,0.1571420133113861
+-UacrmKiTn4/4,-UacrmKiTn4,4,0,negative,-1.3333333730697632,2,2,2,2,2,0.24989673495292664,0.44462817907333374,0.4752929210662842,0.4392329156398773,0.5184646844863892
+-hnBHBN8p5A/7,-hnBHBN8p5A,7,2,positive,0.6666666865348816,2,2,2,2,2,0.25469517707824707,0.267363965511322,0.26611560583114624,0.2937210500240326,0.4176241457462311
+-hnBHBN8p5A/6,-hnBHBN8p5A,6,2,positive,1.0,2,2,2,2,2,0.7116098403930664,0.6368920803070068,0.8011423349380493,0.6396559476852417,0.7429358959197998
+-qDkUB0GgYY/6,-qDkUB0GgYY,6,2,positive,1.3333333730697632,2,2,2,2,2,1.4230821132659912,1.456520915031433,1.482230544090271,1.4008221626281738,1.3085699081420898
+-uywlfIYOS8/4,-uywlfIYOS8,4,2,positive,0.3333333432674408,2,2,2,2,2,0.6702563762664795,0.7197655439376831,0.6297314763069153,0.7727823257446289,0.7619336843490601
+-6rXp3zJ3kc/8,-6rXp3zJ3kc,8,0,negative,-1.0,2,2,2,2,2,0.23289291560649872,0.10650955140590668,-0.048172906041145325,0.1659325510263443,0.07517096400260925
+-9y-fZ3swSY/0,-9y-fZ3swSY,0,2,positive,1.0,2,2,2,2,2,0.8935344815254211,0.981560468673706,1.0655876398086548,0.9575732946395874,0.960616946220398
+-9y-fZ3swSY/4,-9y-fZ3swSY,4,1,neutral,0.0,2,2,2,2,1,0.7359274625778198,0.8043063282966614,0.8141930103302002,0.8211376667022705,0.801345944404602
+-9y-fZ3swSY/8,-9y-fZ3swSY,8,2,positive,1.6666666269302368,2,2,2,2,2,0.0990075170993805,0.17485348880290985,0.26351824402809143,0.15360157191753387,0.2083582729101181
+-AUZQgSxyPQ/2,-AUZQgSxyPQ,2,2,positive,0.6666666865348816,2,2,2,2,2,0.9318890571594238,1.1048165559768677,1.1751078367233276,1.091732382774353,0.7978025078773499
+-HeZS2-Prhc/2,-HeZS2-Prhc,2,2,positive,0.6666666865348816,2,2,2,2,2,0.42690128087997437,0.37649014592170715,0.3945169448852539,0.3838789463043213,0.30630016326904297
+-MeTTeMJBNc/0,-MeTTeMJBNc,0,2,positive,0.3333333432674408,2,2,2,2,2,0.5873996019363403,0.4888506829738617,0.520802915096283,0.4796018600463867,0.48370563983917236
+-MeTTeMJBNc/13,-MeTTeMJBNc,13,2,positive,0.3333333432674408,2,2,2,2,2,0.681941032409668,0.7230368852615356,0.6091403365135193,0.7292149662971497,0.745182454586029
+-MeTTeMJBNc/7,-MeTTeMJBNc,7,2,positive,1.3333333730697632,2,2,2,2,2,0.5029646158218384,0.47240275144577026,0.5074828863143921,0.46745914220809937,0.47605717182159424
+-RfYyzHpjk4/11,-RfYyzHpjk4,11,2,positive,2.0,2,2,2,2,2,0.5564365983009338,0.42342162132263184,0.5021690726280212,0.43483608961105347,0.43543678522109985
+-RfYyzHpjk4/8,-RfYyzHpjk4,8,2,positive,0.3333333432674408,2,2,2,2,2,0.3994223177433014,0.3921676576137543,0.2823079228401184,0.40095123648643494,0.42251622676849365
+-RfYyzHpjk4/2,-RfYyzHpjk4,2,2,positive,0.3333333432674408,2,2,2,2,1,0.365897536277771,0.38750067353248596,0.23726055026054382,0.3845585286617279,0.21417461335659027
+-UUCSKoHeMA/0,-UUCSKoHeMA,0,1,neutral,0.0,2,2,2,2,2,0.5638669729232788,0.5825111269950867,0.6482444405555725,0.5764590501785278,0.5579362511634827
+-ri04Z7vwnc/0,-ri04Z7vwnc,0,1,neutral,0.0,2,2,2,2,1,0.26682645082473755,0.1752839833498001,0.11657405644655228,0.17440180480480194,-0.12501448392868042
+-ri04Z7vwnc/2,-ri04Z7vwnc,2,0,negative,-0.3333333432674408,2,2,2,2,1,0.41648173332214355,0.39698678255081177,0.31453409790992737,0.42282843589782715,-0.06992921233177185
+-ri04Z7vwnc/5,-ri04Z7vwnc,5,2,positive,0.3333333432674408,2,2,2,2,2,0.7894954681396484,0.9298861026763916,0.8353837132453918,0.9478996992111206,0.9307202100753784
+-s9qJ7ATP7w/1,-s9qJ7ATP7w,1,2,positive,0.6666666865348816,2,2,2,2,2,0.8451777696609497,0.7406796216964722,0.6926915645599365,0.7564423084259033,0.7351438403129578
+-s9qJ7ATP7w/0,-s9qJ7ATP7w,0,0,negative,-0.3333333432674408,2,2,2,2,0,0.08492019772529602,0.08116327226161957,0.09997616708278656,0.09164288640022278,-0.18887805938720703
+-s9qJ7ATP7w/5,-s9qJ7ATP7w,5,0,negative,-2.0,2,0,2,0,2,0.25190818309783936,0.23056381940841675,0.42701321840286255,0.2685755491256714,0.35108593106269836
+-s9qJ7ATP7w/4,-s9qJ7ATP7w,4,1,neutral,0.0,2,2,2,2,2,0.8093756437301636,0.6910800933837891,0.8017246723175049,0.6906447410583496,0.7730451822280884
+-s9qJ7ATP7w/7,-s9qJ7ATP7w,7,2,positive,1.0,2,2,2,2,1,0.04829922318458557,-0.06272962689399719,0.04885163903236389,-0.056273818016052246,-0.3453366756439209
+-s9qJ7ATP7w/6,-s9qJ7ATP7w,6,1,neutral,0.0,2,2,2,2,2,-0.11959794163703918,0.12442992627620697,0.22614140808582306,0.12353259325027466,0.05900001525878906
+-s9qJ7ATP7w/8,-s9qJ7ATP7w,8,2,positive,1.3333333730697632,2,2,2,2,1,0.5094736218452454,0.4484489858150482,0.6055055856704712,0.42063793540000916,0.0980398952960968
+-yRb-Jum7EQ/1,-yRb-Jum7EQ,1,1,neutral,0.0,0,0,0,0,0,-0.39470893144607544,-0.5162537693977356,-0.5732794404029846,-0.5318436622619629,-0.47799739241600037
+-yRb-Jum7EQ/5,-yRb-Jum7EQ,5,0,negative,-0.6666666865348816,1,1,1,1,1,-0.31519562005996704,-0.4650754928588867,-0.48384714126586914,-0.4728321433067322,-0.4012225568294525
+-yRb-Jum7EQ/6,-yRb-Jum7EQ,6,1,neutral,0.0,0,0,0,0,0,-0.3192596435546875,-0.48287540674209595,-0.5565515160560608,-0.4418525695800781,-0.5206273794174194
@@ -0,0 +1,61 @@
+# 问题一 B0-B4 模型对比结果
+
+本报告按 `math/问题一.pdf` 第 4.8.3 节实施五组单因素对照。全部 100 条附件一视频均使用同一套冻结特征抽取器、0.1 秒主时间网格、观测掩码与按 `video_id` 分组的五折划分。情感标签仅用于折内的轻量预测探针，不进入时间对齐、CTC 后验或动态签名计算。
+
+## 实际特征和比较版本
+
+| 版本 | 实施内容 |
+| --- | --- |
+| B0 | CTC Viterbi 词区间与音频/视觉物理时间区间投影；训练折均值/标准差缩放；视觉旋转向量和视线向量作普通分量均值。 |
+| B1 | 在 B0 上改用训练折中位数与 MAD 的稳健尺度（MAD 为零时回退到训练折标准差），并对视觉旋转用 SO(3) 均值、视线用归一化向量均值。 |
+| B2 | 在 B1 上只将文本词向量的硬边界投影替换为固定转写 CTC 状态图的前向–后向占据概率投影；媒体时间戳仍按物理时间。 |
+| B3 | 在 B1 上仅附加音频 log-F0/能量与视觉 jaw-open/嘴部开合率的时间增广一、二阶路径签名；缺测点之间不连线。 |
+| B4 | 在 B1 上仅附加冻结 Wav2Vec2-base-960h 最后四层的时间投影表示。 |
+
+附件一现有标签表和原始视频被直接使用。文本为 768 维 BERT-base-uncased 末四层均值；音频为 74 维（log-Mel 40、MFCC 13、ΔMFCC 13、韵律/谱统计 8）；视觉为 35 维（17 个 MediaPipe blendshape 代理、6 维头姿、6 维近似视线、6 维面部比例几何）。视觉代理和几何索引定义见 `compare_models.py`，它们与 OpenFace AU 定义并不等同；该限制须在论文中明示。
+
+## 结果
+
+分类按连续标签的严格符号构造 Negative/Neutral/Positive，强度预测限幅到 [-3, 3]。每折训练折单独拟合标准化器、逻辑回归（C=0.05）与 Ridge（alpha=25）；固定五折由 GroupKFold 按原始 `video_id` 分组。总体 OOF 指标按 100 条留组预测计算。
+
+| 方法 | OOF Accuracy | OOF Macro-F1 | OOF MAE | OOF Pearson | Macro-F1 折均值±SD |
+| --- | ---: | ---: | ---: | ---: | ---: |
+| B0 | 0.600 | 0.361 | 0.564 | 0.346 | 0.337 ± 0.098 |
+| B1 | 0.610 | 0.387 | 0.599 | 0.238 | 0.349 ± 0.119 |
+| B2 | 0.580 | 0.331 | 0.588 | 0.279 | 0.313 ± 0.087 |
+| B3 | 0.590 | 0.359 | 0.600 | 0.230 | 0.333 ± 0.096 |
+| B4 | 0.600 | 0.422 | 0.593 | 0.199 | 0.398 ± 0.089 |
+
+按当前 OOF 探针，Macro-F1 最高的是 B4（0.422），MAE 最低的是 B0（0.564）。相对 B1，B4 的 Macro-F1 差为 +0.035，视频组 Bootstrap 95% 区间 [-0.051, +0.137]，区间跨过零。B0 的 MAE 差为 -0.035，区间 [-0.063, -0.012]，Pearson 差为 +0.108。B2 的 Macro-F1 差为 -0.057，区间 [-0.109, -0.001]，MAE 差为 -0.011；B3 的 Macro-F1 差为 -0.029，区间 [-0.072, +0.000]。组 Bootstrap 只反映当前 37 个来源视频上的抽样不确定性，未作多重比较校正。
+
+## 覆盖与对齐核验
+
+样本数：100；标签表连续标签与极性一致 100/100；CTC 硬对齐完整的样本 91/100。B0 硬区间平均文本覆盖率为 0.673，B2 平均词占据后验质量为 0.229（这是期望占据率，不是覆盖率）；视觉检测覆盖率（按 0.1 秒网格平均）为 0.859。后验内部 90% 边界区间平均宽度为起点 0.131 秒、终点 0.111 秒。没有人工边界子集，因此这些宽度只是模型内部不确定性摘要，不是经验校准率或边界误差。
+
+B0–B4 的特征来源、有效掩码、连续覆盖率、词边界后验宽度、折内预测及视频哈希均分别保存在配套 CSV/JSON 中。没有人工词边界时不报告 IoU/MATE，也不把不同方法的预测探针分数解释为对齐真值。
+
+## 文件
+
+- `comparison_summary.csv`：五种方法总体 OOF 与折均值指标。
+- `fold_metrics.csv`：每折分类/回归指标与特征维数。
+- `oof_predictions.csv`：每条样本的留组预测。
+- `group_bootstrap_deltas.csv`：相对 B1 的视频组配对 Bootstrap 95% 区间。
+- `sample_alignment_summary.csv`：100 条样本、硬/概率文本覆盖和后验边界宽度。
+- `modality_summary.csv`：300 行样本-模态明细。
+- `word_alignment_posterior.csv`：逐词硬边界、实际相对质量权重及后验边界区间。
+- `split_assignments.csv`：逐样本折号。
+- `comparison.png`：核心 OOF 指标图。
+- `typical_alignment_example.png`：中位时长样本的词边界、覆盖率、声学/视觉轨迹与视频帧核验图。
+- `run_manifest.json`：环境、模型 revision、参数、哈希与运行时间。
+
+## 复现
+
+在仓库根目录执行：
+
+```bash
+cd math
+uv sync
+uv run python compare_models.py
+```
+
+特征缓存写在 `math/cache/native/`，正式结果只写在 `math/results/model_comparison/`。删除缓存后会从附件一重新提取。首次运行需要下载 BERT、Wav2Vec2 和 MediaPipe Face Landmarker 权重。
@@ -0,0 +1,293 @@
+{
+  "created_at_local": "2026-09-23 22:17:06 +0800",
+  "python": "3.14.7 (main, Aug 10 2026, 00:00:00) [GCC 16.1.1 20260515 (Red Hat 16.1.1-2)]",
+  "platform": "Linux-6.6.87.2-microsoft-standard-WSL2-x86_64-with-glibc2.43",
+  "uv_version": "uv 0.11.28 (x86_64-unknown-linux-gnu)",
+  "packages": {
+    "torch": "2.14.0+cu130",
+    "transformers": "5.17.0",
+    "numpy": "2.5.3",
+    "scipy": "1.18.1",
+    "scikit-learn": "1.9.1",
+    "mediapipe": "1.0.1",
+    "opencv-python-headless": "5.0.0.93",
+    "openpyxl": "3.1.5",
+    "matplotlib": "3.11.2"
+  },
+  "device": "cuda",
+  "cuda_available": true,
+  "gpu_name": "NVIDIA GeForce RTX 5070 Ti",
+  "models": {
+    "text_id": "google-bert/bert-base-uncased",
+    "text_revision": "86b5e0934494bd15c9632b12f734a8a67f723594",
+    "speech_id": "facebook/wav2vec2-base-960h",
+    "speech_revision": "22aad52d435eb6dbaf354bdad9b0da84ce7d6156",
+    "speech_stride_samples": 320,
+    "speech_receptive_field_samples": 400
+  },
+  "face_landmarker_asset_sha256": "64184e229b263107bc2b804c6625db1341ff2bb731874b0bcc2fe6544e0bc9ff",
+  "inputs": {
+    "label_file": "/home/gloamxun/modeling_zhaocui/E题数据/附件1-数据集原始多模态样本/MOSEI数据集部分原始视频-100条/label-100.xlsx",
+    "label_file_sha256": "827334f782b1f242c84ad944a657bc7f7c63643f71ae9c977811a3eecdd3ab33",
+    "sample_count": 100,
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+    },
+    "label_polarity_consistency_count": 100
+  },
+  "experiment": {
+    "methods": {
+      "B0": "quality-weighted hard CTC word projection + physical source-time pooling + train-fold standard scaling",
+      "B1": "B0 + train-fold median/MAD scaling + SO(3) rotation mean + normalized gaze vector mean",
+      "B2": "B1 + fixed-transcript CTC forward-backward word occupancy projection for text",
+      "B3": "B1 + second-order time-augmented log signatures of selected audio/face channels",
+      "B4": "B1 + frozen Wav2Vec2 last-four-layer speech representation"
+    },
+    "text_dimension": 768,
+    "audio_dimension": 74,
+    "vision_dimension": 35,
+    "audio_features": [
+      "logmel_00",
+      "logmel_01",
+      "logmel_02",
+      "logmel_03",
+      "logmel_04",
+      "logmel_05",
+      "logmel_06",
+      "logmel_07",
+      "logmel_08",
+      "logmel_09",
+      "logmel_10",
+      "logmel_11",
+      "logmel_12",
+      "logmel_13",
+      "logmel_14",
+      "logmel_15",
+      "logmel_16",
+      "logmel_17",
+      "logmel_18",
+      "logmel_19",
+      "logmel_20",
+      "logmel_21",
+      "logmel_22",
+      "logmel_23",
+      "logmel_24",
+      "logmel_25",
+      "logmel_26",
+      "logmel_27",
+      "logmel_28",
+      "logmel_29",
+      "logmel_30",
+      "logmel_31",
+      "logmel_32",
+      "logmel_33",
+      "logmel_34",
+      "logmel_35",
+      "logmel_36",
+      "logmel_37",
+      "logmel_38",
+      "logmel_39",
+      "mfcc_00",
+      "mfcc_01",
+      "mfcc_02",
+      "mfcc_03",
+      "mfcc_04",
+      "mfcc_05",
+      "mfcc_06",
+      "mfcc_07",
+      "mfcc_08",
+      "mfcc_09",
+      "mfcc_10",
+      "mfcc_11",
+      "mfcc_12",
+      "delta_mfcc_00",
+      "delta_mfcc_01",
+      "delta_mfcc_02",
+      "delta_mfcc_03",
+      "delta_mfcc_04",
+      "delta_mfcc_05",
+      "delta_mfcc_06",
+      "delta_mfcc_07",
+      "delta_mfcc_08",
+      "delta_mfcc_09",
+      "delta_mfcc_10",
+      "delta_mfcc_11",
+      "delta_mfcc_12",
+      "log_energy",
+      "log_f0_hz",
+      "voicing_strength",
+      "spectral_centroid_hz",
+      "spectral_bandwidth_hz",
+      "spectral_flux",
+      "zero_crossing_rate",
+      "hnr_db"
+    ],
+    "vision_features": [
+      "mp_blendshape_browDownLeft",
+      "mp_blendshape_browDownRight",
+      "mp_blendshape_browInnerUp",
+      "mp_blendshape_browOuterUpLeft",
+      "mp_blendshape_browOuterUpRight",
+      "mp_blendshape_eyeBlinkLeft",
+      "mp_blendshape_eyeBlinkRight",
+      "mp_blendshape_eyeSquintLeft",
+      "mp_blendshape_eyeSquintRight",
+      "mp_blendshape_eyeWideLeft",
+      "mp_blendshape_eyeWideRight",
+      "mp_blendshape_jawOpen",
+      "mp_blendshape_mouthFrownLeft",
+      "mp_blendshape_mouthFrownRight",
+      "mp_blendshape_mouthPucker",
+      "mp_blendshape_mouthSmileLeft",
+      "mp_blendshape_mouthSmileRight",
+      "pose_rotvec_x",
+      "pose_rotvec_y",
+      "pose_rotvec_z",
+      "pose_translation_x",
+      "pose_translation_y",
+      "pose_translation_z",
+      "gaze_left_x",
+      "gaze_left_y",
+      "gaze_left_z",
+      "gaze_right_x",
+      "gaze_right_y",
+      "gaze_right_z",
+      "eye_aperture_left",
+      "eye_aperture_right",
+      "mouth_aperture",
+      "mouth_width_face_ratio",
+      "brow_eye_distance_left",
+      "brow_eye_distance_right"
+    ],
+    "vision_feature_note": "17 MediaPipe blendshape proxies and approximate gaze/landmark geometry; not OpenFace AU labels",
+    "grid_step_s": 0.1,
+    "audio_window_samples": 400,
+    "audio_step_samples": 160,
+    "audio_fft": 512,
+    "audio_mel_bands": 40,
+    "vision_sample_rate_hz": 5.0,
+    "grouping": "GroupKFold by video_id",
+    "fold_count": 5,
+    "probe": {
+      "classifier": "LogisticRegression",
+      "C": 0.05,
+      "regressor": "Ridge",
+      "alpha": 25.0,
+      "intensity_clip": [
+        -3.0,
+        3.0
+      ]
+    },
+    "bootstrap": {
+      "unit": "video_id",
+      "repeats": 2000,
+      "seed": 20260923
+    },
+    "human_boundary_reference_count": 0,
+    "boundary_interval_level": 0.9,
+    "hard_text_quality_weight": "per-sample median-normalized CTC path score clipped to [0.25, 4.0]; uncalibrated",
+    "cache_schema": "q1-b0b4-v3"
+  },
+  "output_dir": "/home/gloamxun/modeling_zhaocui/math/results/model_comparison",
+  "typical_sample_id": "-9y-fZ3swSY/0",
+  "elapsed_seconds": 124.10033178329468
+}
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+-yRb-Jum7EQ/1,-yRb-Jum7EQ,1,2f16da1baa8660e5bfc608f5237cdd59725d16e57a19bc02c4556cd2c7129a46,29.288021087646484,49,49,0,49,0.2922448979591836,0.2689795918367347,0.6873865723609924,0.18630558252334595,0.9836021065711975,0.999393880367279,2911,178,ok
+-yRb-Jum7EQ/5,-yRb-Jum7EQ,5,6d6145293cf84d1fc8324dfa8d39465e2d7fc07affb67ff68deeabf6e3c410d9,13.169010162353516,25,25,0,25,0.14880000000000007,0.18799999999999997,0.7192046046257019,0.19541765749454498,0.9867846369743347,1.0,1305,97,ok
+-yRb-Jum7EQ/6,-yRb-Jum7EQ,6,b51eb9ad06de804934cb6a315de591ba9ff7f8aa71bffff7f8001ab29945d989,11.241994857788086,19,19,0,19,0.09578947368421038,0.15263157894736842,0.6869907975196838,0.16814078390598297,0.9854583740234375,1.0,1125,87,ok
@@ -0,0 +1,101 @@
+sample_id,video_id,fold,split
+-3g5yACwYnA/13,-3g5yACwYnA,1,valid_oof
+-3g5yACwYnA/2,-3g5yACwYnA,1,valid_oof
+-3g5yACwYnA/3,-3g5yACwYnA,1,valid_oof
+-3g5yACwYnA/9,-3g5yACwYnA,1,valid_oof
+-3nNcZdcdvU/5,-3nNcZdcdvU,5,valid_oof
+-571d8cVauQ/0,-571d8cVauQ,2,valid_oof
+-571d8cVauQ/5,-571d8cVauQ,2,valid_oof
+-6rXp3zJ3kc/8,-6rXp3zJ3kc,4,valid_oof
+-9y-fZ3swSY/0,-9y-fZ3swSY,1,valid_oof
+-9y-fZ3swSY/4,-9y-fZ3swSY,1,valid_oof
+-9y-fZ3swSY/8,-9y-fZ3swSY,1,valid_oof
+-AUZQgSxyPQ/2,-AUZQgSxyPQ,3,valid_oof
+-HeZS2-Prhc/2,-HeZS2-Prhc,2,valid_oof
+-HwX2H8Z4hY/2,-HwX2H8Z4hY,3,valid_oof
+-HwX2H8Z4hY/5,-HwX2H8Z4hY,3,valid_oof
+-HwX2H8Z4hY/6,-HwX2H8Z4hY,3,valid_oof
+-HwX2H8Z4hY/9,-HwX2H8Z4hY,3,valid_oof
+-I_e4mIh0yE/1,-I_e4mIh0yE,1,valid_oof
+-I_e4mIh0yE/3,-I_e4mIh0yE,1,valid_oof
+-MeTTeMJBNc/0,-MeTTeMJBNc,5,valid_oof
+-MeTTeMJBNc/13,-MeTTeMJBNc,5,valid_oof
+-MeTTeMJBNc/7,-MeTTeMJBNc,5,valid_oof
+-NFrJFQijFE/1,-NFrJFQijFE,5,valid_oof
+-NFrJFQijFE/2,-NFrJFQijFE,5,valid_oof
+-RfYyzHpjk4/11,-RfYyzHpjk4,3,valid_oof
+-RfYyzHpjk4/2,-RfYyzHpjk4,3,valid_oof
+-RfYyzHpjk4/8,-RfYyzHpjk4,3,valid_oof
+-THoVjtIkeU/12,-THoVjtIkeU,2,valid_oof
+-THoVjtIkeU/2,-THoVjtIkeU,2,valid_oof
+-THoVjtIkeU/6,-THoVjtIkeU,2,valid_oof
+-UUCSKoHeMA/0,-UUCSKoHeMA,1,valid_oof
+-UacrmKiTn4/10,-UacrmKiTn4,4,valid_oof
+-UacrmKiTn4/4,-UacrmKiTn4,4,valid_oof
+-UuX1xuaiiE/0,-UuX1xuaiiE,2,valid_oof
+-UuX1xuaiiE/1,-UuX1xuaiiE,2,valid_oof
+-UuX1xuaiiE/3,-UuX1xuaiiE,2,valid_oof
+-UuX1xuaiiE/6,-UuX1xuaiiE,2,valid_oof
+-a55Q6RWvTA/3,-a55Q6RWvTA,5,valid_oof
+-aNfi7CP8vM/7,-aNfi7CP8vM,4,valid_oof
+-aqamKhZ1Ec/0,-aqamKhZ1Ec,3,valid_oof
+-dxfTGcXJoc/0,-dxfTGcXJoc,5,valid_oof
+-dxfTGcXJoc/1,-dxfTGcXJoc,5,valid_oof
+-dxfTGcXJoc/2,-dxfTGcXJoc,5,valid_oof
+-dxfTGcXJoc/6,-dxfTGcXJoc,5,valid_oof
+-egA8-b7-3M/1,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/13,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/16,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/17,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/18,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/20,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/26,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/6,-egA8-b7-3M,1,valid_oof
+-egA8-b7-3M/9,-egA8-b7-3M,1,valid_oof
+-hnBHBN8p5A/6,-hnBHBN8p5A,3,valid_oof
+-hnBHBN8p5A/7,-hnBHBN8p5A,3,valid_oof
+-iRBcNs9oI8/3,-iRBcNs9oI8,4,valid_oof
+-iRBcNs9oI8/6,-iRBcNs9oI8,4,valid_oof
+-iRBcNs9oI8/7,-iRBcNs9oI8,4,valid_oof
+-iRBcNs9oI8/8,-iRBcNs9oI8,4,valid_oof
+-iRBcNs9oI8/9,-iRBcNs9oI8,4,valid_oof
+-lzEya4AM_4/5,-lzEya4AM_4,2,valid_oof
+-lzEya4AM_4/6,-lzEya4AM_4,2,valid_oof
+-mJ2ud6oKI8/1,-mJ2ud6oKI8,5,valid_oof
+-mJ2ud6oKI8/2,-mJ2ud6oKI8,5,valid_oof
+-mJ2ud6oKI8/6,-mJ2ud6oKI8,5,valid_oof
+-mJ2ud6oKI8/8,-mJ2ud6oKI8,5,valid_oof
+-mJ2ud6oKI8/9,-mJ2ud6oKI8,5,valid_oof
+-mqbVkbCndg/0,-mqbVkbCndg,2,valid_oof
+-qDkUB0GgYY/6,-qDkUB0GgYY,1,valid_oof
+-ri04Z7vwnc/0,-ri04Z7vwnc,4,valid_oof
+-ri04Z7vwnc/2,-ri04Z7vwnc,4,valid_oof
+-ri04Z7vwnc/5,-ri04Z7vwnc,4,valid_oof
+-s9qJ7ATP7w/0,-s9qJ7ATP7w,3,valid_oof
+-s9qJ7ATP7w/1,-s9qJ7ATP7w,3,valid_oof
+-s9qJ7ATP7w/4,-s9qJ7ATP7w,3,valid_oof
+-s9qJ7ATP7w/5,-s9qJ7ATP7w,3,valid_oof
+-s9qJ7ATP7w/6,-s9qJ7ATP7w,3,valid_oof
+-s9qJ7ATP7w/7,-s9qJ7ATP7w,3,valid_oof
+-s9qJ7ATP7w/8,-s9qJ7ATP7w,3,valid_oof
+-t217m2on-s/2,-t217m2on-s,4,valid_oof
+-t217m2on-s/7,-t217m2on-s,4,valid_oof
+-tANM6ETl_M/3,-tANM6ETl_M,5,valid_oof
+-tPCytz4rww/10,-tPCytz4rww,4,valid_oof
+-tPCytz4rww/11,-tPCytz4rww,4,valid_oof
+-tPCytz4rww/12,-tPCytz4rww,4,valid_oof
+-tPCytz4rww/16,-tPCytz4rww,4,valid_oof
+-tPCytz4rww/18,-tPCytz4rww,4,valid_oof
+-uywlfIYOS8/4,-uywlfIYOS8,4,valid_oof
+-vxjVxOeScU/4,-vxjVxOeScU,3,valid_oof
+-wMB_hJL-3o/7,-wMB_hJL-3o,3,valid_oof
+-wny0OAz3g8/0,-wny0OAz3g8,2,valid_oof
+-wny0OAz3g8/1,-wny0OAz3g8,2,valid_oof
+-wny0OAz3g8/2,-wny0OAz3g8,2,valid_oof
+-wny0OAz3g8/3,-wny0OAz3g8,2,valid_oof
+-wny0OAz3g8/5,-wny0OAz3g8,2,valid_oof
+-wny0OAz3g8/7,-wny0OAz3g8,2,valid_oof
+-wny0OAz3g8/9,-wny0OAz3g8,2,valid_oof
+-yRb-Jum7EQ/1,-yRb-Jum7EQ,5,valid_oof
+-yRb-Jum7EQ/5,-yRb-Jum7EQ,5,valid_oof
+-yRb-Jum7EQ/6,-yRb-Jum7EQ,5,valid_oof