Fold 1 - Understanding why coefficient -2928893 was selected
Tag: LEWIS HAMILTON
Selected Coefficient: -2928893
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| -2928893 | 6.014283 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | Yes | |
| 401495414 | 6.014481 | 70.69.54.56.15 | 15.56.54.69.70 (15*71^4 + 56*71^3 + 54*71^2 + 69*71 + 70) | No | |
| -5414035 | 6.042254 | -1.0.9.15 | -15.9.0.1 (-(15*71^3 + 9*71^2 + 1)) | No | |
| -5857786 | 8.000003 | -2.2.26.16 | -16.26.2.2 (-(16*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| -6573608 | 8.000003 | -2.2.26.18 | -18.26.2.2 (-(18*71^3 + 26*71^2 + 2*71 + 2)) | No | |
| -1774506 | 8.014085 | -3.1.68.4 | -4.68.1.3 (-(4*71^3 + 68*71^2 + 71 + 3)) | No | |
| -11987643 | 8.014085 | -3.2.35.33 | -33.35.2.3 (-(33*71^3 + 35*71^2 + 2*71 + 3)) | No | |
| 23 | 9.000000 | 23 | 23 (23) | Sporting Goods | No |
| 0 | 9.000000 | 0 | 0 (0) | No |
These are the training products that have the "LEWIS HAMILTON" tag (processing sequence 103). 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 | 401495414 | BLACK, MEN | 404424307 | GEORGE RUSSELL | ||
| 8640 | Mercedes AMG Petronas F1 Lewis Hamilton Flag | 23 | Sporting Goods | none | 2928916 | KIDS, WOMEN, ACCESSORIES, ADULT | |
| 6672 | Mercedes AMG Petronas F1 2023 Men's Set Up Driver T-Shirt - Volt Green | 0 | MEN | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | GEORGE RUSSELL | |
| 6680 | Mercedes AMG Petronas F1 2023 Kids Lewis Hamilton Baseball Hat - Youth | -1774506 | BLACK, BLUE, WHITE, GREY, YELLOW | 1154387 | KIDS, PEACH, WOMEN, ACCESSORIES | ||
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | -2928893 | BLACK, WHITE | 0 | GEORGE RUSSELL, WOMEN, MD | ||
| 6764 | Mercedes AMG Petronas F1 2023 Kids Driver T-Shirt - Black/White | -2928893 | BLACK, WHITE | 0 | KIDS, GEORGE RUSSELL | ||
| 6719 | Mercedes AMG Petronas F1 2023 Team Baseball Hat- Black/White/Green | -5414035 | BLACK, WHITE | -2485142 | GEORGE RUSSELL, WOMEN, ADULT | ||
| 6717 | Mercedes AMG Petronas F1 2023 Men's Driver T-Shirt - Black/White | -5857786 | BLACK, WHITE, MEN | -2928893 | GEORGE RUSSELL | ||
| 6681 | Mercedes AMG Petronas F1 2023 Men's Team Polo - Black/White | -6573608 | BLACK, WHITE, MEN | -3644715 | GEORGE RUSSELL | ||
| 6718 | Mercedes AMG Petronas F1 2023 Lewis Hamilton Baseball Hat | -11987643 | BLACK, BLUE, WHITE, GREY | -9058750 | PEACH, WOMEN, ACCESSORIES, ADULT |