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+ # Embedding Benchmark Comparison Report
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+
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+ **Date**: 2026-03-18 13:18
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+
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+
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+ ## Piezo — Input Space: multi
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+
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+ ### Classification (milieu_eh)
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+
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+ | Method | Dim | N | LP BalAcc | LP F1 | Fisher | P@1 | P@5 | AMI | Mantel r |
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+ |--------|-----|---|----------|-------|--------|-----|-----|-----|----------|
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+ | MiniRocket (multi) | 320 | 2000 | 0.3897 | 0.3625 | 0.0607 | 0.4919 | 0.4445 | 0.1141 | 0.1163 |
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+ | TS2Vec (multi) | 320 | 2000 | 0.4886 | 0.3651 | 0.0209 | 0.5260 | 0.4605 | 0.0144 | 0.0864 |
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+ | SoftCLT (multi) | 320 | 2000 | 0.4729 | 0.3610 | 0.0243 | 0.5191 | 0.4574 | 0.0138 | 0.0958 |
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+ | PCA brut (multi) | 64 | 2000 | 0.2150 | 0.1710 | 0.0097 | 0.4428 | 0.3748 | 0.0262 | 0.0340 |
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+ | Random | 64 | 2000 | 0.1147 | 0.0851 | 0.0040 | 0.2760 | 0.2876 | N/A | -0.0008 |
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+ | MiniRocket (multi) +W | 64 | 2000 | 0.4262 | 0.3499 | 0.0192 | 0.5456 | 0.4912 | 0.0243 | 0.1672 |
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+ | TS2Vec (multi) +W | 64 | 2000 | 0.4275 | 0.3403 | 0.0181 | 0.5855 | 0.5204 | 0.0165 | 0.2060 |
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+ | SoftCLT (multi) +W | 64 | 2000 | 0.4519 | 0.3442 | 0.0174 | 0.5704 | 0.5238 | 0.0161 | 0.2142 |
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+
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+ > k-NN random baseline (class frequency²): 0.2944
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+
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+ ### Dynamic Typology (inertial / annual / reactive)
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+
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+ > Data-driven labels from lag-365 autocorrelation. Tests if embeddings capture temporal dynamics. **Note**: labels derived from same series — this is a consistency check, not an independent evaluation.
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+
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+ | Method | LP BalAcc | LP F1 | Fisher | P@1 | P@5 |
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+ |--------|----------|-------|--------|-----|-----|
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+ | MiniRocket (multi) | 0.6883 | 0.6770 | 0.0820 | 0.6707 | 0.6399 |
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+ | TS2Vec (multi) | 0.5420 | 0.5073 | 0.0271 | 0.5710 | 0.5387 |
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+ | SoftCLT (multi) | 0.5411 | 0.5041 | 0.0288 | 0.5628 | 0.5390 |
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+ | PCA brut (multi) | 0.4306 | 0.4008 | 0.0088 | 0.5598 | 0.5281 |
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+ | Random | 0.3037 | 0.2785 | 0.0010 | 0.4723 | 0.4587 |
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+ | MiniRocket (multi) +W | 0.7136 | 0.6673 | 0.0128 | 0.6794 | 0.6479 |
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+ | TS2Vec (multi) +W | 0.5341 | 0.4911 | 0.0048 | 0.6275 | 0.5675 |
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+ | SoftCLT (multi) +W | 0.5178 | 0.4851 | 0.0048 | 0.5847 | 0.5742 |
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+
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+ ### Regression (continuous properties)
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+
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+ | Method | altitude R² | altitude ρ |
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+ |--------|------|------|
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+ | MiniRocket (multi) | 0.2503 | 0.5877 |
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+ | TS2Vec (multi) | 0.3590 | 0.6061 |
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+ | SoftCLT (multi) | 0.3482 | 0.5626 |
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+ | PCA brut (multi) | -0.0382 | 0.0605 |
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+ | Random | -0.0579 | -0.0661 |
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+ | MiniRocket (multi) +W | 0.1816 | 0.5957 |
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+ | TS2Vec (multi) +W | 0.2290 | 0.5723 |
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+ | SoftCLT (multi) +W | 0.2392 | 0.5071 |
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+
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+ ### Intrinsic Quality
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+
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+ | Method | PR | Uniformity | PCA 80% | PCA 95% |
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+ |--------|----|------------|---------|---------|
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+ | MiniRocket (multi) | 2.98 | -2.39 | 4 | 22 |
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+ | TS2Vec (multi) | 1.67 | -0.12 | 2 | 3 |
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+ | SoftCLT (multi) | 1.72 | -0.12 | 2 | 3 |
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+ | PCA brut (multi) | 7.14 | -3.51 | 11 | 23 |
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+ | Random | 61.94 | -3.88 | 48 | 60 |
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+ | MiniRocket (multi) +W | 64.00 | -3.79 | 52 | 61 |
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+ | TS2Vec (multi) +W | 64.00 | -3.80 | 52 | 61 |
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+ | SoftCLT (multi) +W | 64.00 | -3.80 | 52 | 61 |
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+
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+ ### Overall Ranking (piezo/multi)
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+
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+ | Method | Mean Rank | Ranks (BalAcc,F1,Fisher,P@5,AMI,Mantel,PR) |
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+ |--------|-----------|---------------------------------------------|
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+ | MiniRocket (multi) +W | 3.29 | 5, 4, 4, 3, 3, 3, 1 |
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+ | SoftCLT (multi) +W | 3.43 | 3, 5, 6, 1, 5, 1, 3 |
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+ | TS2Vec (multi) +W | 3.57 | 4, 6, 5, 2, 4, 2, 2 |
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+ | MiniRocket (multi) | 3.71 | 6, 2, 1, 6, 1, 4, 6 |
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+ | TS2Vec (multi) | 4.14 | 1, 1, 3, 4, 6, 6, 8 |
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+ | SoftCLT (multi) | 4.43 | 2, 3, 2, 5, 7, 5, 7 |
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+ | PCA brut (multi) | 6.00 | 7, 7, 7, 7, 2, 7, 5 |
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+ | Random | 7.33 | 8, 8, 8, 8, 8, 4 |
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+
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+ ## Piezo — Input Space: uni
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+
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+ ### Classification (milieu_eh)
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+
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+ | Method | Dim | N | LP BalAcc | LP F1 | Fisher | P@1 | P@5 | AMI | Mantel r |
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+ |--------|-----|---|----------|-------|--------|-----|-----|-----|----------|
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+ | MiniRocket (uni) | 320 | 2000 | 0.2876 | 0.2593 | 0.0744 | 0.4330 | 0.3906 | 0.1062 | 0.0292 |
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+ | TS2Vec (uni) | 320 | 2000 | 0.2668 | 0.2250 | 0.0436 | 0.3776 | 0.3770 | 0.1289 | -0.0482 |
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+ | SoftCLT (uni) | 320 | 2000 | 0.2802 | 0.2277 | 0.0341 | 0.3661 | 0.3584 | 0.0137 | -0.0211 |
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+ | Catch22 | 22 | 2000 | 0.2819 | 0.2226 | 0.0512 | 0.3447 | 0.3390 | 0.0009 | 0.0167 |
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+ | PCA brut (uni) | 64 | 2000 | 0.1489 | 0.1288 | 0.0072 | 0.3435 | 0.3246 | N/A | 0.0211 |
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+ | Random | 64 | 2000 | 0.1147 | 0.0851 | 0.0040 | 0.2760 | 0.2876 | N/A | -0.0008 |
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+ | MiniRocket (uni) +W | 64 | 2000 | 0.3020 | 0.2515 | 0.0140 | 0.4752 | 0.4297 | 0.1744 | 0.0713 |
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+ | TS2Vec (uni) +W | 64 | 2000 | 0.2979 | 0.2281 | 0.0104 | 0.3961 | 0.3823 | N/A | 0.0348 |
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+ | SoftCLT (uni) +W | 64 | 2000 | 0.2631 | 0.2109 | 0.0099 | 0.3920 | 0.3738 | N/A | 0.0388 |
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+ | Catch22 +W | 22 | 2000 | 0.2840 | 0.2243 | 0.0209 | 0.4307 | 0.4028 | N/A | 0.0781 |
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+
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+ > k-NN random baseline (class frequency²): 0.2944
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+
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+ ### Dynamic Typology (inertial / annual / reactive)
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+
98
+ > Data-driven labels from lag-365 autocorrelation. Tests if embeddings capture temporal dynamics. **Note**: labels derived from same series — this is a consistency check, not an independent evaluation.
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+
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+ | Method | LP BalAcc | LP F1 | Fisher | P@1 | P@5 |
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+ |--------|----------|-------|--------|-----|-----|
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+ | MiniRocket (uni) | 0.7249 | 0.7081 | 0.1542 | 0.6997 | 0.6484 |
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+ | TS2Vec (uni) | 0.6588 | 0.6190 | 0.1264 | 0.6504 | 0.6428 |
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+ | SoftCLT (uni) | 0.6550 | 0.6131 | 0.0821 | 0.6621 | 0.6333 |
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+ | Catch22 | 0.6164 | 0.5654 | 0.0968 | 0.5578 | 0.5424 |
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+ | PCA brut (uni) | 0.4540 | 0.3883 | 0.0114 | 0.5613 | 0.5320 |
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+ | Random | 0.3037 | 0.2785 | 0.0010 | 0.4723 | 0.4587 |
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+ | MiniRocket (uni) +W | 0.7619 | 0.7224 | 0.0144 | 0.6911 | 0.6545 |
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+ | TS2Vec (uni) +W | 0.6474 | 0.5975 | 0.0101 | 0.6473 | 0.6163 |
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+ | SoftCLT (uni) +W | 0.6472 | 0.6010 | 0.0105 | 0.6677 | 0.6283 |
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+ | Catch22 +W | 0.6097 | 0.5598 | 0.0212 | 0.6239 | 0.5977 |
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+
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+ ### Regression (continuous properties)
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+
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+ | Method | altitude R² | altitude ρ |
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+ |--------|------|------|
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+ | MiniRocket (uni) | -0.1590 | 0.3011 |
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+ | TS2Vec (uni) | -0.2596 | 0.0460 |
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+ | SoftCLT (uni) | -0.1054 | 0.0931 |
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+ | Catch22 | -0.0272 | 0.0908 |
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+ | PCA brut (uni) | -0.0177 | 0.0143 |
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+ | Random | -0.0579 | -0.0661 |
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+ | MiniRocket (uni) +W | 0.0425 | 0.2790 |
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+ | TS2Vec (uni) +W | -0.1032 | 0.0180 |
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+ | SoftCLT (uni) +W | -0.0649 | 0.0828 |
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+ | Catch22 +W | -0.0275 | 0.0910 |
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+
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+ ### Intrinsic Quality
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+
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+ | Method | PR | Uniformity | PCA 80% | PCA 95% |
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+ |--------|----|------------|---------|---------|
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+ | MiniRocket (uni) | 2.26 | -2.15 | 3 | 12 |
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+ | TS2Vec (uni) | 3.04 | -0.34 | 4 | 12 |
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+ | SoftCLT (uni) | 1.70 | -0.50 | 2 | 2 |
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+ | Catch22 | 1.98 | -0.25 | 2 | 3 |
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+ | PCA brut (uni) | 4.49 | -2.86 | 6 | 16 |
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+ | Random | 61.94 | -3.88 | 48 | 60 |
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+ | MiniRocket (uni) +W | 64.00 | -3.81 | 52 | 61 |
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+ | TS2Vec (uni) +W | 64.00 | -3.80 | 52 | 61 |
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+ | SoftCLT (uni) +W | 64.00 | -3.84 | 52 | 61 |
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+ | Catch22 +W | 22.00 | -3.46 | 18 | 21 |
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+
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+ ### Overall Ranking (piezo/uni)
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+
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+ | Method | Mean Rank | Ranks (BalAcc,F1,Fisher,P@5,AMI,Mantel,PR) |
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+ |--------|-----------|---------------------------------------------|
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+ | MiniRocket (uni) +W | 2.00 | 1, 2, 6, 1, 1, 2, 1 |
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+ | MiniRocket (uni) | 3.43 | 3, 1, 1, 3, 3, 5, 8 |
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+ | TS2Vec (uni) +W | 3.67 | 2, 3, 7, 4, 4, 2 |
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+ | Catch22 +W | 3.83 | 4, 6, 5, 2, 1, 5 |
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+ | TS2Vec (uni) | 5.57 | 7, 5, 3, 5, 2, 10, 7 |
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+ | SoftCLT (uni) +W | 6.00 | 8, 8, 8, 6, 3, 3 |
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+ | Catch22 | 6.14 | 5, 7, 2, 8, 5, 7, 9 |
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+ | SoftCLT (uni) | 6.29 | 6, 4, 4, 7, 4, 9, 10 |
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+ | PCA brut (uni) | 8.00 | 9, 9, 9, 9, 6, 6 |
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+ | Random | 8.67 | 10, 10, 10, 10, 8, 4 |
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+
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+ ## Normalization Diagnostic
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+
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+ - **piezo/MiniRocket (uni)**: OK r=0.0687
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+ - **piezo/TS2Vec (uni)**: OK r=-0.0523
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+ - **piezo/SoftCLT (uni)**: OK r=0.0555
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+ - **piezo/Catch22**: OK r=-0.0534
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+ - **piezo/PCA brut (uni)**: OK r=-0.0246
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+ - **piezo/Random**: OK r=0.0076
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+ - **piezo/MiniRocket (uni) +W**: OK r=0.026
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+ - **piezo/TS2Vec (uni) +W**: OK r=-0.0284
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+ - **piezo/SoftCLT (uni) +W**: OK r=-0.0296
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+ - **piezo/Catch22 +W**: OK r=-0.0115
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+ - **piezo/MiniRocket (multi)**: OK r=-0.0751
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+ - **piezo/TS2Vec (multi)**: OK r=-0.0595
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+ - **piezo/SoftCLT (multi)**: OK r=-0.0517
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+ - **piezo/PCA brut (multi)**: OK r=0.0564
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+ - **piezo/Random**: OK r=0.0076
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+ - **piezo/MiniRocket (multi) +W**: OK r=0.0562
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+ - **piezo/TS2Vec (multi) +W**: OK r=0.1198
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+ - **piezo/SoftCLT (multi) +W**: OK r=0.0127