Fold 4 - Understanding why coefficient -6573608 was selected
Tag: GEORGE RUSSELL
Selected Coefficient: -6573608
Taxonomy Path: -2.2.26.18
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 8
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? |
|---|---|---|---|---|---|
| -5857786 | 6.000003 | -2.2.26.16 | -16.26.2.2 (-(16*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| -6573608 | 6.000003 | -2.2.26.18 | -18.26.2.2 (-(18*71^3 + 26*71^2 + 2*71 + 2)) | Yes | |
| -1431644 | 6.014085 | -0.0.0.4 | -4.0.0.0 (-(4*71^3)) | No | |
| 736057 | 6.014085 | 0.1.4.2 | 2.4.1.0 (2*71^3 + 4*71^2 + 71) | No | |
| 124538628 | 7.000000 | 13.10.68.63.4 | 4.63.68.10.13 (4*71^4 + 63*71^3 + 68*71^2 + 10*71 + 13) | No | |
| -2928897 | 7.000000 | -5.1.13.8 | -8.13.1.5 (-(8*71^3 + 13*71^2 + 71 + 5)) | No | |
| -2928893 | 7.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| -12703465 | 7.000000 | -3.2.35.35 | -35.35.2.3 (-(35*71^3 + 35*71^2 + 2*71 + 3)) | No |
These are the training products that have the "GEORGE RUSSELL" tag (processing sequence 173). 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 | 124538628 | BLUE | 131112236 | ADULT, FANWEAR, MD | ||
| 8759 | Mercedes AMG Petronas F1 George Russell Trucker Hat | 736057 | BLUE | 7309665 | ADULT | ||
| 6673 | Mercedes AMG Petronas F1 George Russell Sports T-Shirt | -1431644 | BLUE | 5141964 | ADULT, FANWEAR | ||
| 6672 | Mercedes AMG Petronas F1 2023 Men's Set Up Driver T-Shirt - Volt Green | -2928893 | MEN, GREEN | 3644715 | none | ||
| 6764 | Mercedes AMG Petronas F1 2023 Kids Driver T-Shirt - Black/White | -2928897 | BLACK, WHITE, KIDS | 3644711 | none | ||
| 6717 | Mercedes AMG Petronas F1 2023 Men's Driver T-Shirt - Black/White | -5857786 | BLACK, WHITE, MEN | 715822 | none | ||
| 6681 | Mercedes AMG Petronas F1 2023 Men's Team Polo - Black/White | -6573608 | BLACK, WHITE, MEN | 0 | none | ||
| 8767 | Mercedes AMG Petronas F1 2023 George Russell Dad Baseball Hat | -12703465 | BLUE, BLACK, WHITE, GREEN | -6129857 | ADULT |