Fold 1 - Understanding why coefficient -4025525 was selected
Tag: GEORGE RUSSELL
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 13
Unique residual values tried: 10
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 | 1.012833 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -5011603 | 1.012835 | -1.1.13.10 | -10.13.1.1 (-(10*79^3 + 13*79^2 + 79 + 1)) | No | |
| -5997681 | 1.012837 | -1.1.13.12 | -12.13.1.1 (-(12*79^3 + 13*79^2 + 79 + 1)) | No | |
| -1067291 | 1.012837 | -1.1.13.2 | -2.13.1.1 (-(2*79^3 + 13*79^2 + 79 + 1)) | No | |
| -4518564 | 1.012837 | -1.1.13.9 | -9.13.1.1 (-(9*79^3 + 13*79^2 + 79 + 1)) | No | |
| 411826 | 1.012837 | 78.77.65 | 65.77.78 (65*79^2 + 77*79 + 78) | No | |
| -1560330 | 1.012837 | -1.1.13.3 | -3.13.1.1 (-(3*79^3 + 13*79^2 + 79 + 1)) | No | |
| 616198814 | 1.014261 | 78.77.62.64.15 | 15.64.62.77.78 (15*79^4 + 64*79^3 + 62*79^2 + 77*79 + 78) | No | |
| -7451755 | 1.139241 | -1.0.9.15 | -15.9.0.1 (-(15*79^3 + 9*79^2 + 1)) | No | |
| -8051050 | 12.000000 | -2.2.26.16 | -16.26.2.2 (-(16*79^3 + 26*79^2 + 2*79 + 2)) | No |
These are the training products that have the "GEORGE RUSSELL" tag (processing sequence 1501). 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 | 616198814 | LEWIS HAMILTON, APPAREL | 620224339 | none | ||
| 8759 | Mercedes AMG Petronas F1 George Russell Trucker Hat | 411826 | BLUE, ACCESSORIES | 4437351 | none | ||
| 10561 | Mercedes AMG Petronas F1 2023 Team Crew Sweatshirt | -1067291 | LEWIS HAMILTON, APPAREL | 2958234 | none | ||
| 10550 | Mercedes AMG Petronas F1 2023 Team Hoodie | -1560330 | LEWIS HAMILTON, APPAREL | 2465195 | none | ||
| 6717 | Mercedes AMG Petronas F1 2023 Men's Driver T-Shirt - Black/White | -4025525 | LEWIS HAMILTON, APPAREL | 0 | none | ||
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | -4025525 | LEWIS HAMILTON, APPAREL | 0 | MD | ||
| 6764 | Mercedes AMG Petronas F1 2023 Kids Driver T-Shirt - Black/White | -4025525 | LEWIS HAMILTON, APPAREL | 0 | none | ||
| 10551 | Mercedes AMG Petronas F1 2023 Men's Team Button Down Shirt | -4518564 | LEWIS HAMILTON, APPAREL | -493039 | none | ||
| 6681 | Mercedes AMG Petronas F1 2023 Men's Team Polo - Black/White | -5011603 | LEWIS HAMILTON, APPAREL | -986078 | none | ||
| 10560 | Mercedes AMG Petronas F1 2023 Kids Team Polo - Youth | -5011603 | LEWIS HAMILTON, APPAREL | -986078 | none | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | -5997681 | BLUE, APPAREL | -1972156 | none | ||
| 6719 | Mercedes AMG Petronas F1 2023 Team Baseball Hat- Black/White/Green | -7451755 | LEWIS HAMILTON, GREEN | -3426230 | none | ||
| 6672 | Mercedes AMG Petronas F1 2023 Men's Set Up Driver T-Shirt - Volt Green | -8051050 | LEWIS HAMILTON, GREEN, APPAREL | -4025525 | none |