Fold 2 - Understanding why coefficient 4025525 was selected
Tag: LEWIS HAMILTON
Selected Coefficient: 4025525
Taxonomy Path: 1.1.13.8
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > T-Shirts
Products with this tag: 13
Unique residual values tried: 9
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 | 2.025487 | 1.1.13.8 | 8.13.1.1 (8*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | Yes |
| 6490720 | 2.025489 | 1.1.13.13 | 13.13.1.1 (13*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | No |
| 6983759 | 2.025491 | 1.1.13.14 | 14.13.1.1 (14*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | No |
| 3039447 | 2.025491 | 1.1.13.6 | 6.13.1.1 (6*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Polos | No |
| 3532486 | 2.025491 | 1.1.13.7 | 7.13.1.1 (7*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Shirts | No |
| 624249864 | 2.026598 | 1.1.10.2.16 | 16.2.10.1.1 (16*79^4 + 2*79^3 + 10*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Windbreakers | No |
| 599295 | 2.113924 | 1.2.17.1 | 1.17.2.1 (493039 + 17*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | No |
| 23 | 12.000000 | 23 | 23 (23) | Sporting Goods | No |
| -5398386 | 12.000000 | -0.78.74.10 | -10.74.78.0 (-(10*79^3 + 74*79^2 + 78*79)) | No |
These are the training products that have the "LEWIS HAMILTON" tag (processing sequence 77). 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 |
|---|---|---|---|---|---|---|---|
| 6670 | Mercedes AMG Petronas F1 2023 Men's Team Softshell Jacket | 624249864 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Windbreakers | none | 620224339 | APPAREL | |
| 10561 | Mercedes AMG Petronas F1 2023 Team Crew Sweatshirt | 6983759 | Apparel & Accessories > Clothing > Clothing Tops > Sweatshirts | none | 2958234 | APPAREL | |
| 10562 | Mercedes AMG Petronas F1 2023 Kids Team Hooded Sweatshirt- | 6490720 | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | none | 2465195 | APPAREL | |
| 10550 | Mercedes AMG Petronas F1 2023 Team Hoodie | 6490720 | Apparel & Accessories > Clothing > Clothing Tops > Hoodies | none | 2465195 | APPAREL | |
| 6717 | Mercedes AMG Petronas F1 2023 Men's Driver T-Shirt - Black/White | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | APPAREL | |
| 6764 | Mercedes AMG Petronas F1 2023 Kids Driver T-Shirt - Black/White | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | APPAREL | |
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | 4025525 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | none | 0 | APPAREL, MD | |
| 10551 | Mercedes AMG Petronas F1 2023 Men's Team Button Down Shirt | 3532486 | Apparel & Accessories > Clothing > Clothing Tops > Shirts | none | -493039 | APPAREL | |
| 10560 | Mercedes AMG Petronas F1 2023 Kids Team Polo - Youth | 3039447 | Apparel & Accessories > Clothing > Clothing Tops > Polos | none | -986078 | APPAREL | |
| 6718 | Mercedes AMG Petronas F1 2023 Lewis Hamilton Baseball Hat | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -3426230 | GREY, BLUE, RED, ACCESSORIES | |
| 6719 | Mercedes AMG Petronas F1 2023 Team Baseball Hat- Black/White/Green | 599295 | Apparel & Accessories > Clothing Accessories > Hats > Baseball Caps | none | -3426230 | GREEN | |
| 8640 | Mercedes AMG Petronas F1 Lewis Hamilton Flag | 23 | Sporting Goods | none | -4025502 | ACCESSORIES | |
| 6680 | Mercedes AMG Petronas F1 2023 Kids Lewis Hamilton Baseball Hat - Youth | -5398386 | PINK | -9423911 | GREY, GREEN, BLUE, RED, ACCESSORIES |