Fold 0 - Understanding why coefficient 4085261 was selected
Tag: SOUND HAVEN
Selected Coefficient: 4085261
Taxonomy Path: 1.1.12.7
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 4085261 | 2.000145 | 1.1.12.7 | 7.12.1.1 (7*83^3 + 12*83^2 + 83 + 1) | Yes | |
| 5235724 | 2.000145 | 1.1.13.9 | 9.13.1.1 (9*83^3 + 13*83^2 + 83 + 1) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 96 | 3.000000 | 13.1 | 1.13 (83 + 13) | No |
These are the training products that have the "SOUND HAVEN" tag (processing sequence 6731). 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 |
|---|---|---|---|---|---|---|---|
| 23778 | SOUND HAVEN 2024 YP BASKETBALL JERSEY | 5235724 | none | 1150463 | none | ||
| 23850 | SOUND HAVEN 2024 JOGGERS | 4085261 | none | 0 | none | ||
| 23849 | SOUND HAVEN 2024 EARPLUGS | 96 | none | -4085165 | none | ||
| 23855 | SOUND HAVEN 2024 LONG SLEEVE (3XL ONLY - LAST ONE) | 0 | TEES | -4085261 | none |