Fold 3 - Understanding why coefficient -801662 was selected
Tag: LEWIS HAMILTON
Selected Coefficient: -801662
Taxonomy Path: -1.2.17.2
Taxonomy Name:
Products with this tag: 7
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -801662 | 4.014283 | -1.2.17.2 | -2.17.2.1 (-(2*71^3 + 17*71^2 + 2*71 + 1)) | Yes | |
| 403622645 | 4.014283 | 70.68.50.62.15 | 15.62.50.68.70 (15*71^4 + 62*71^3 + 50*71^2 + 68*71 + 70) | No | |
| -3286804 | 4.028169 | -1.1.13.9 | -9.13.1.1 (-(9*71^3 + 13*71^2 + 71 + 1)) | No | |
| 2127250 | 6.000000 | 19.70.66.5 | 5.66.70.19 (5*71^3 + 66*71^2 + 70*71 + 19) | No | |
| -801666 | 6.000000 | -5.2.17.2 | -2.17.2.5 (-(2*71^3 + 17*71^2 + 2*71 + 5)) | No | |
| -4446377 | 6.000000 | -2.3.30.12 | -12.30.3.2 (-(12*71^3 + 30*71^2 + 3*71 + 2)) | No | |
| -7647345 | 6.000000 | -6.2.26.21 | -21.26.2.6 (-(21*71^3 + 26*71^2 + 2*71 + 6)) | No |
These are the training products that have the "LEWIS HAMILTON" tag (processing sequence 125). 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 | 403622645 | BLACK, MEN, 2023 | 404424307 | none | ||
| 8640 | Mercedes AMG Petronas F1 Lewis Hamilton Flag | 2127250 | KIDS, 2023 | 2928912 | WOMEN, ADULT | ||
| 6671 | Mercedes AMG Petronas F1 2023 Women's Driver T-Shirt - Black/White | -801662 | BLACK, WHITE, 2023 | 0 | WOMEN, MD | ||
| 6764 | Mercedes AMG Petronas F1 2023 Kids Driver T-Shirt - Black/White | -801666 | BLACK, WHITE, KIDS, 2023 | -4 | none | ||
| 6719 | Mercedes AMG Petronas F1 2023 Team Baseball Hat- Black/White/Green | -3286804 | BLACK, WHITE, 2023 | -2485142 | WOMEN, ADULT | ||
| 6681 | Mercedes AMG Petronas F1 2023 Men's Team Polo - Black/White | -4446377 | BLACK, WHITE, MEN, 2023 | -3644715 | none | ||
| 6680 | Mercedes AMG Petronas F1 2023 Kids Lewis Hamilton Baseball Hat - Youth | -7647345 | BLACK, BLUE, WHITE, KIDS, 2023 | -6845683 | YELLOW, PEACH, WOMEN |