Fold 3 - 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 | 14.042265 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| -65605 | 14.042270 | -1.1.13 | -13.1.1 (-(13*71^2 + 71 + 1)) | No | |
| 1366039 | 14.042273 | 70.69.57.3 | 3.57.69.70 (3*71^3 + 57*71^2 + 69*71 + 70) | No | |
| -1855160 | 14.042273 | -1.1.13.5 | -5.13.1.1 (-(5*71^3 + 13*71^2 + 71 + 1)) | No | |
| -2233306 | 14.126959 | -1.2.17.6 | -6.17.2.1 (-(6*71^3 + 17*71^2 + 2*71 + 1)) | No | |
| -3680073 | 14.126959 | -1.2.20.10 | -10.20.2.1 (-(10*71^3 + 20*71^2 + 2*71 + 1)) | No | |
| -5414035 | 14.140845 | -1.0.9.15 | -15.9.0.1 (-(15*71^3 + 9*71^2 + 1)) | No | |
| 0 | 20.014090 | 0 | 0 (0) | No | |
| 357911 | 20.014093 | 0.0.0.1 | 1.0.0.0 (357911) | No | |
| -357911 | 20.014093 | -0.0.0.1 | -1.0.0.0 (-(357911)) | No | |
| 2087187 | 20.056338 | 0.3.59.5 | 5.59.3.0 (5*71^3 + 59*71^2 + 3*71) | No | |
| -2929546 | 23.000000 | -15.10.13.8 | -8.13.10.15 (-(8*71^3 + 13*71^2 + 10*71 + 15)) | No | |
| 123736966 | 24.000000 | 12.8.51.61.4 | 4.61.51.8.12 (4*71^4 + 61*71^3 + 51*71^2 + 8*71 + 12) | No | |
| 19 | 24.000000 | 19 | 19 (19) | Product Add-Ons | No |
| 1770055 | 24.000000 | 25.9.67.4 | 4.67.9.25 (4*71^3 + 67*71^2 + 9*71 + 25) | No | |
| 1770134 | 24.000000 | 33.10.67.4 | 4.67.10.33 (4*71^3 + 67*71^2 + 10*71 + 33) | No | |
| 5365001 | 24.000000 | 28.19.70.14 | 14.70.19.28 (14*71^3 + 70*71^2 + 19*71 + 28) | No | |
| 7628484 | 24.000000 | 31.20.22.21 | 21.22.20.31 (21*71^3 + 22*71^2 + 20*71 + 31) | No | |
| -10576234 | 24.000000 | -3.3.39.29 | -29.39.3.3 (-(29*71^3 + 39*71^2 + 3*71 + 3)) | No |
These are the training products that have the "ADULT" tag (processing sequence 383). 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 | 123736966 | BLUE, 2023, WOMEN | 126665859 | MD | ||
| 8661 | BMW "M" Motorsport Puma Statement Small Messenger Bag | 7628484 | 2022 | 10557377 | none | ||
| 8720 | Mercedes Benz AMG Petronas F1 Thermal Drink Tumbler -Black | 5365001 | BLACK, 2022, WOMEN | 8293894 | MD | ||
| 8669 | BMW Motorsport PUMA Street Wallet | 2087187 | BLACK, 2021 | 5016080 | none | ||
| 8878 | Mercedes Benz AMG Petronas F1 Water Bottle-Black | 1770134 | BLACK, KIDS, 2022, WOMEN | 4699027 | MD | ||
| 8730 | Mercedes Benz AMG Petronas F1 Packable Backpack Black | 1770055 | BLACK, KIDS, 2022, WOMEN | 4698948 | none | ||
| 8860 | Alpine Racing F1 New Era 9FIFTY ESports Pre-curve Hat | 1366039 | BLACK, 2023, WOMEN | 4294932 | none | ||
| 8670 | BMW Motorsports Puma Beanie- Black | 357911 | BLACK, 2021 | 3286804 | Apparel & Accessories > Clothing > Clothing Tops > Tank Tops | MD | |
| 8640 | Mercedes AMG Petronas F1 Lewis Hamilton Flag | 19 | Product Add-Ons | KIDS, 2023, LEWIS HAMILTON, WOMEN | 2928912 | none | |
| 8879 | Alpine Racing F1 2023 New Era Team Cuff Beanie | 0 | 2023, WOMEN | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 8731 | Scuderia AlphaTauri 2021 Italy GP Hat | 0 | WHITE, 2021 | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | |
| 8759 | Mercedes AMG Petronas F1 George Russell Trucker Hat | -65605 | BLUE, 2023, WOMEN | 2863288 | none | ||
| 8925 | Red Bull Racing F1 New Era 9Fifty Essential Hat | -65605 | NAVY, 2023, WOMEN | 2863288 | none | ||
| 8877 | Alpine Racing F1 New Era 9FORTY Flawless Hat | -357911 | 2023, WOMEN | 2570982 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | |
| 8676 | Alfa Romeo Racing F1 2023 Team Bucket Hat- Black | -1855160 | BLACK, 2023, WOMEN | 1073733 | none | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | -2233306 | BLUE, 2023, WOMEN | 695587 | none | ||
| 8945 | McLaren F1 NEW ERA 2023 Lando Norris Team Cuff Beanie- Papaya | -2928893 | 2023, ORANGE, WOMEN | 0 | none | ||
| 8891 | Red Bull Racing F1 New Era Team Cuff Beanie | -2928893 | NAVY, 2023, WOMEN | 0 | none | ||
| 8912 | Red Bull Racing F1 New Era Kids Team Cuff Beanie | -2928893 | NAVY, 2023, WOMEN | 0 | none | ||
| 8938 | McLaren F1 NEW ERA 2023 Team Cuff Beanie - Papaya | -2928893 | 2023, ORANGE, WOMEN | 0 | none | ||
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | -2929546 | NAVY, 2023, GRAY, WOMEN | -653 | none | ||
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | -2929546 | 2023, ORANGE, GRAY, WOMEN | -653 | none | ||
| 8688 | Red Bull Racing F1 Max Verstappen "MV1" Driver Hoodie - Night Sky | -3680073 | NAVY, 2023, WOMEN | -751180 | none | ||
| 6719 | Mercedes AMG Petronas F1 2023 Team Baseball Hat- Black/White/Green | -5414035 | BLACK, WHITE, 2023, LEWIS HAMILTON, WOMEN | -2485142 | none | ||
| 8767 | Mercedes AMG Petronas F1 2023 George Russell Dad Baseball Hat | -10576234 | BLACK, BLUE, WHITE, 2023, WOMEN | -7647341 | none |