Fold 2 - Understanding why coefficient -2928893 was selected
Tag: ADULT
Selected Coefficient: -2928893
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 25
Unique residual values tried: 19
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? |
|---|---|---|---|---|---|
| -2928893 | 14.070624 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -4360537 | 14.070632 | -1.1.13.12 | -12.13.1.1 (-(12*71^3 + 13*71^2 + 71 + 1)) | No | |
| -5807304 | 14.071414 | -1.1.16.16 | -16.16.1.1 (-(16*71^3 + 16*71^2 + 71 + 1)) | No | |
| -5056124 | 14.084515 | -1.0.9.14 | -14.9.0.1 (-(14*71^3 + 9*71^2 + 1)) | No | |
| -2192836 | 14.084515 | -1.0.9.6 | -6.9.0.1 (-(6*71^3 + 9*71^2 + 1)) | No | |
| -5414035 | 14.084518 | -1.0.9.15 | -15.9.0.1 (-(15*71^3 + 9*71^2 + 1)) | No | |
| -2485142 | 20.042254 | -0.70.66.6 | -6.66.70.0 (-(6*71^3 + 66*71^2 + 70*71)) | No | |
| 443608 | 20.042256 | 0.0.17.1 | 1.17.0.0 (357911 + 17*71^2) | No | |
| 801519 | 20.042256 | 0.0.17.2 | 2.17.0.0 (2*71^3 + 17*71^2) | No | |
| 2530795 | 20.056338 | 0.3.5.7 | 7.5.3.0 (7*71^3 + 5*71^2 + 3*71) | No | |
| -2929546 | 23.014085 | -15.10.13.8 | -8.13.10.15 (-(8*71^3 + 13*71^2 + 10*71 + 15)) | No | |
| -5056777 | 23.014085 | -15.9.9.14 | -14.9.9.15 (-(14*71^3 + 9*71^2 + 9*71 + 15)) | No | |
| 121609735 | 24.000000 | 12.9.55.55.4 | 4.55.55.9.12 (4*71^4 + 55*71^3 + 55*71^2 + 9*71 + 12) | No | |
| -1099212 | 24.000000 | -61.3.5.3 | -3.5.3.61 (-(3*71^3 + 5*71^2 + 3*71 + 61)) | No | |
| -1099133 | 24.000000 | -53.2.5.3 | -3.5.2.53 (-(3*71^3 + 5*71^2 + 2*71 + 53)) | No | |
| 2495734 | 24.000000 | 13.6.69.6 | 6.69.6.13 (6*71^3 + 69*71^2 + 6*71 + 13) | No | |
| 4759217 | 24.000000 | 16.7.21.13 | 13.21.7.16 (13*71^3 + 21*71^2 + 7*71 + 16) | No | |
| 8721093 | 24.000000 | 21.2.26.24 | 24.26.2.21 (24*71^3 + 26*71^2 + 2*71 + 21) | No | |
| -8342928 | 24.000000 | -2.1.22.23 | -23.22.1.2 (-(23*71^3 + 22*71^2 + 71 + 2)) | No |
These are the training products that have the "ADULT" tag (processing sequence 384). 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 | 121609735 | BLUE, WOMEN | 124538628 | GEORGE RUSSELL | ||
| 8640 | Mercedes AMG Petronas F1 Lewis Hamilton Flag | 8721093 | PURPLE, LEWIS HAMILTON, KIDS, WOMEN | 11649986 | none | ||
| 8661 | BMW "M" Motorsport Puma Statement Small Messenger Bag | 4759217 | 2022 | 7688110 | none | ||
| 8669 | BMW Motorsport PUMA Street Wallet | 2530795 | BLACK, 2021 | 5459688 | none | ||
| 8720 | Mercedes Benz AMG Petronas F1 Thermal Drink Tumbler -Black | 2495734 | BLACK, 2022, WOMEN | 5424627 | none | ||
| 8670 | BMW Motorsports Puma Beanie- Black | 801519 | BLACK, 2021 | 3730412 | none | ||
| 8731 | Scuderia AlphaTauri 2021 Italy GP Hat | 443608 | WHITE, 2021 | 3372501 | none | ||
| 8878 | Mercedes Benz AMG Petronas F1 Water Bottle-Black | -1099133 | BLACK, KIDS, 2022, WOMEN | 1829760 | none | ||
| 8730 | Mercedes Benz AMG Petronas F1 Packable Backpack Black | -1099212 | BLACK, KIDS, 2022, WOMEN | 1829681 | none | ||
| 8926 | Red Bull Racing F1 New Era 9Fifty 2023 Max Verstappen Team Hat | -2192836 | NAVY, WOMEN | 736057 | none | ||
| 8925 | Red Bull Racing F1 New Era 9Fifty Essential Hat | -2192836 | NAVY, WOMEN | 736057 | none | ||
| 8877 | Alpine Racing F1 New Era 9FORTY Flawless Hat | -2485142 | WOMEN | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | |
| 8837 | Alpine Racing F1 2023 New Era 9FORTY Team Hat | -2485142 | WOMEN | 443751 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | |
| 8945 | McLaren F1 NEW ERA 2023 Lando Norris Team Cuff Beanie- Papaya | -2928893 | ORANGE, WOMEN | 0 | none | ||
| 6718 | Mercedes AMG Petronas F1 2023 Lewis Hamilton Baseball Hat | -2928893 | BLACK, BLUE, WHITE, PURPLE, GREY, LEWIS HAMILTON, PEACH, WOMEN | 0 | none | ||
| 8639 | Formula 1 Tech Limited Edition Saudi Arabian Jeddah GP T-Shirt - White | -2928893 | WHITE, WOMEN | 0 | none | ||
| 8938 | McLaren F1 NEW ERA 2023 Team Cuff Beanie - Papaya | -2928893 | ORANGE, WOMEN | 0 | none | ||
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | -2929546 | ORANGE, GRAY, WOMEN | -653 | none | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | -4360537 | BLUE, WOMEN | -1431644 | GEORGE RUSSELL | ||
| 8891 | Red Bull Racing F1 New Era Team Cuff Beanie | -5056124 | NAVY, WOMEN | -2127231 | SERGIO PEREZ | ||
| 8912 | Red Bull Racing F1 New Era Kids Team Cuff Beanie | -5056124 | NAVY, WOMEN | -2127231 | SERGIO PEREZ | ||
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | -5056777 | NAVY, GRAY, WOMEN | -2127884 | none | ||
| 8766 | Mercedes AMG Petronas F1 Polka Dot Baseball Hat | -5414035 | BLACK, WOMEN | -2485142 | none | ||
| 8688 | Red Bull Racing F1 Max Verstappen "MV1" Driver Hoodie - Night Sky | -5807304 | NAVY, WOMEN | -2878411 | none | ||
| 6719 | Mercedes AMG Petronas F1 2023 Team Baseball Hat- Black/White/Green | -8342928 | BLACK, WHITE, GREEN, LEWIS HAMILTON, WOMEN | -5414035 | GEORGE RUSSELL |