Fold 0 - Understanding why coefficient 1092334 was selected
Tag: FANWEAR
Selected Coefficient: 1092334
Taxonomy Path: 1.2.17.2
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Hats > Beanies
Products with this tag: 18
Unique residual values tried: 15
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? |
|---|---|---|---|---|---|
| 1092334 | 8.063297 | 1.2.17.2 | 2.17.2.1 (2*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Beanies | Yes |
| 5036646 | 8.063299 | 1.2.17.10 | 10.17.2.1 (10*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | No |
| 2571451 | 8.063299 | 1.2.17.5 | 5.17.2.1 (5*79^3 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | No |
| 599295 | 8.063299 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | No |
| 3039447 | 8.076430 | 1.1.13.6 | 6.13.1.1 (6*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Polos | No |
| 79547866 | 8.076430 | 1.1.27.3.2 | 2.3.27.1.1 (2*79^4 + 3*79^3 + 27*79^2 + 79 + 1) | No | |
| 1591535 | 8.076430 | 1.1.18.3 | 3.18.1.1 (3*79^3 + 18*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Socks > Crew Socks | No |
| 3020724 | 8.076430 | 1.1.10.6 | 6.10.1.1 (6*79^3 + 10*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Outerwear > Vests | No |
| 3482874 | 8.113924 | 1.5.5.7 | 7.5.5.1 (7*79^3 + 5*79^2 + 5*79 + 1) | Apparel & Accessories > Handbags, Wallets & Cases > Wallets & Money Clips > Wallets | No |
| 0 | 13.000320 | 0 | 0 (0) | No | |
| -3963035 | 13.000641 | -0.0.3.8 | -8.3.0.0 (-(8*79^3 + 3*79^2)) | No | |
| 1092175 | 13.000641 | 0.0.17.2 | 2.17.0.0 (2*79^3 + 17*79^2) | No | |
| 599317 | 17.000000 | 23.2.17.1 | 1.17.2.23 (493039 + 17*79^2 + 2*79 + 23) | No | |
| 94 | 17.000000 | 15.1 | 1.15 (79 + 15) | Luggage & Bags > Backpacks | No |
| 193852504 | 17.000000 | 13.10.14.77.4 | 4.77.14.10.13 (4*79^4 + 77*79^3 + 14*79^2 + 10*79 + 13) | No |
These are the training products that have the "FANWEAR" tag (processing sequence 4537). 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 | 193852504 | GEORGE RUSSELL, MD | 192760170 | none | ||
| 10577 | Mercedes AMG Petronas F1 Bomber Jacket | 79547866 | MD | 78455532 | none | ||
| 8925 | Red Bull Racing F1 New Era 9Fifty Essential Hat | 5036646 | Apparel & Accessories > Clothing Accessories > Hats > Snapback Caps | none | 3944312 | none | |
| 8662 | Scuderia Ferrari LS Wallet - Blue | 3482874 | Apparel & Accessories > Handbags, Wallets & Cases > Wallets & Money Clips > Wallets | none | 2390540 | 2022 | |
| 8696 | Red Bull Racing F1 Kid's Core Logo Polo -Night Sky | 3039447 | Apparel & Accessories > Clothing > Clothing Tops > Polos | none | 1947113 | none | |
| 10563 | Mercedes AMG Petronas F1 Men's Lightweight Padded Vest | 3020724 | Apparel & Accessories > Clothing > Outerwear > Vests | none | 1928390 | none | |
| 8908 | Red Bull Racing F1 New Era Seasonal Bucket Hat | 2571451 | Apparel & Accessories > Clothing Accessories > Hats > Bucket Hats | none | 1479117 | none | |
| 8689 | Porsche Design Women's Functional Pique Polo - Dark Blue | 1591535 | Apparel & Accessories > Clothing > Socks > Crew Socks | MD | 499201 | none | |
| 8890 | Red Bull Racing F1 New Era Essential Beanie - Navy/Gray | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 0 | none | |
| 8927 | McLaren F1 New Era Essential Cuff Pom Beanie- Papaya/Anthracite | 1092334 | Apparel & Accessories > Clothing Accessories > Hats > Beanies | none | 0 | none | |
| 8670 | BMW Motorsports Puma Beanie- Black | 1092175 | 2021, MD | -159 | none | ||
| 8878 | Mercedes Benz AMG Petronas F1 Water Bottle-Black | 599317 | MD | -493017 | 2022 | ||
| 8877 | Alpine Racing F1 New Era 9FORTY Flawless Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -493039 | none | |
| 8730 | Mercedes Benz AMG Petronas F1 Packable Backpack Black | 94 | Luggage & Bags > Backpacks | none | -1092240 | 2022 | |
| 8798 | Formula 1 Tech Collection F1 Kids Large Logo Baseball Hat Black | 0 | 2021 | -1092334 | none | ||
| 8682 | Red Bull Racing F1 Kids Max Verstappen Driver T-Shirt - White/Exotic Orange | 0 | MAX VERSTAPPEN | -1092334 | none | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | 0 | GEORGE RUSSELL | -1092334 | none | ||
| 8688 | Red Bull Racing F1 Max Verstappen "MV1" Driver Hoodie - Night Sky | -3963035 | MAX VERSTAPPEN | -5055369 | none |