Fold 4 - Understanding why coefficient -4025525 was selected
Tag: FANWEAR
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 22
Unique residual values tried: 21
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| -4025525 | 15.012983 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -5997681 | 15.012985 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| -2053369 | 15.012985 | -1.1.13.4 | -4.13.1.1 (-(4*79^3 + 13*79^2 + 79 + 1)) | No | |
| -7002482 | 15.013459 | -1.1.16.14 | -14.16.1.1 (-(14*79^3 + 16*79^2 + 79 + 1)) | No | |
| -9030807 | 15.013459 | -1.1.25.18 | -18.25.1.1 (-(18*79^3 + 25*79^2 + 79 + 1)) | No | |
| -3114102 | 15.075949 | -1.77.24.6 | -6.24.77.1 (-(6*79^3 + 24*79^2 + 77*79 + 1)) | No | |
| 74923205 | 17.000483 | 0.0.76.72.1 | 1.72.76.0.0 (38950081 + 72*79^3 + 76*79^2) | No | |
| -1004801 | 17.000483 | -0.0.3.2 | -2.3.0.0 (-(2*79^3 + 3*79^2)) | No | |
| 0 | 17.000483 | 0 | 0 (0) | No | |
| 4437351 | 17.000483 | 0.0.0.9 | 9.0.0.0 (9*79^3) | No | |
| -499280 | 17.000641 | -0.0.1.1 | -1.1.0.0 (-(493039 + 6241)) | No | |
| -1099221 | 20.000160 | -15.10.18.2 | -2.18.10.15 (-(2*79^3 + 18*79^2 + 10*79 + 15)) | No | |
| -2165787 | 20.000160 | -2.2.31.4 | -4.31.2.2 (-(4*79^3 + 31*79^2 + 2*79 + 2)) | No | |
| -4026250 | 20.000160 | -15.10.13.8 | -8.13.10.15 (-(8*79^3 + 13*79^2 + 10*79 + 15)) | No | |
| -7064972 | 20.000160 | -2.2.26.14 | -14.26.2.2 (-(14*79^3 + 26*79^2 + 2*79 + 2)) | No | |
| 190681917 | 21.000000 | 12.8.59.70.4 | 4.70.59.8.12 (4*79^4 + 70*79^3 + 59*79^2 + 8*79 + 12) | No | |
| -599201 | 21.000000 | -65.0.17.1 | -1.17.0.65 (-(493039 + 17*79^2 + 65)) | No | |
| -599114 | 21.000000 | -57.78.16.1 | -1.16.78.57 (-(493039 + 16*79^2 + 78*79 + 57)) | No | |
| 492314 | 21.000000 | 65.69.78 | 78.69.65 (78*79^2 + 69*79 + 65) | No | |
| 4350701 | 21.000000 | 13.9.65.8 | 8.65.9.13 (8*79^3 + 65*79^2 + 9*79 + 13) | No | |
| -8164193 | 21.000000 | -17.12.44.16 | -16.44.12.17 (-(16*79^3 + 44*79^2 + 12*79 + 17)) | No |
These are the training products that have the "FANWEAR" tag (processing sequence 1352). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 8760 | Mercedes AMG Petronas F1 George Russell Mug | 190681917 | BLUE, ACCESSORIES | 194707442 | MD, 2023 | ||
| 10577 | Mercedes AMG Petronas F1 Bomber Jacket | 74923205 | APPAREL | 78948730 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Bomber Jackets | MD, 2023 | |
| 10598 | Mercedes Benz AMG Petronas F1 Stealth Racer Hat - Black | 4437351 | ACCESSORIES | 8462876 | 2022 | ||
| 8720 | Mercedes Benz AMG Petronas F1 Thermal Drink Tumbler -Black | 4350701 | ACCESSORIES | 8376226 | MD, 2022 | ||
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | 492314 | GRAY, ACCESSORIES | 4517839 | 2023 | ||
| 8798 | Formula 1 Tech Collection F1 Kids Large Logo Baseball Hat Black | 0 | ACCESSORIES | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 8703 | Red Bull Racing F1 Men's Lifestyle Sweatpants - Night Sky | -499280 | APPAREL | 3526245 | Apparel & Accessories > Clothing > Pants > Joggers | 2023 | |
| 8878 | Mercedes Benz AMG Petronas F1 Water Bottle-Black | -599114 | ACCESSORIES | 3426411 | MD, 2022 | ||
| 8730 | Mercedes Benz AMG Petronas F1 Packable Backpack Black | -599201 | ACCESSORIES | 3426324 | 2022 | ||
| 10563 | Mercedes AMG Petronas F1 Men's Lightweight Padded Vest | -1004801 | APPAREL | 3020724 | Apparel & Accessories > Clothing > Outerwear > Vests | 2023 | |
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | -1099221 | ORANGE, GRAY, ACCESSORIES | 2926304 | 2023 | ||
| 8907 | Red Bull Racing F1 New Era AOP Bucket Hat | -2053369 | GREEN, ACCESSORIES | 1972156 | 2023 | ||
| 8681 | Red Bull Racing F1 Kids Max Verstappen Driver Hoodie -Youth Orange | -2165787 | MAX VERSTAPPEN, ORANGE, APPAREL | 1859738 | 2023 | ||
| 8662 | Scuderia Ferrari LS Wallet - Blue | -3114102 | BLUE, ACCESSORIES | 911423 | 2022 | ||
| 8639 | Formula 1 Tech Limited Edition Saudi Arabian Jeddah GP T-Shirt - White | -4025525 | WHITE, APPAREL | 0 | 2023 | ||
| 8696 | Red Bull Racing F1 Kid's Core Logo Polo -Night Sky | -4025525 | YOUTH, APPAREL | 0 | 2023 | ||
| 8709 | McLaren F1 Women's Speedmark Logo T-Shirt - White | -4026250 | WHITE, GRAY, APPAREL | -725 | 2022, 2023 | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | -5997681 | BLUE, APPAREL | -1972156 | 2023 | ||
| 8688 | Red Bull Racing F1 Max Verstappen "MV1" Driver Hoodie - Night Sky | -7002482 | MAX VERSTAPPEN, APPAREL | -2976957 | 2023 | ||
| 8682 | Red Bull Racing F1 Kids Max Verstappen Driver T-Shirt - White/Exotic Orange | -7064972 | MAX VERSTAPPEN, WHITE, APPAREL | -3039447 | 2023 | ||
| 8718 | McLaren F1 Kid's Dynamic Sweatshirt - Youth Phantom | -8164193 | ORANGE, GRAY, BLUE, YOUTH, APPAREL | -4138668 | 2022 | ||
| 8689 | Porsche Design Women's Functional Pique Polo - Dark Blue | -9030807 | BLUE, APPAREL | -5005282 | MD |