Fold 3 - Understanding why coefficient 689067 was selected
Tag: BASEBALL CAP
Selected Coefficient: 689067
Taxonomy Path: 1.2.17.1
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 689067 | 1.000000 | 1.2.17.1 | 1.17.2.1 (571787 + 17*83^2 + 2*83 + 1) | Yes | |
| -2369900 | 3.000000 | -1.1.12.4 | -4.12.1.1 (-(4*83^3 + 12*83^2 + 83 + 1)) | No |
These are the training products that have the "BASEBALL CAP" tag (processing sequence 3049). 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 |
|---|---|---|---|---|---|---|---|
| 277 | Alycia Mikay Imprint Baseball Cap | 689067 | none | 0 | HATS | ||
| 292 | Babygirl Cap | 689067 | none | 0 | HATS | ||
| 293 | Babygirl Cap | 689067 | none | 0 | HATS | ||
| 31225 | Leo Sweat Utility Cargos | -2369900 | JEGGINGS, JEANS | -3058967 | JOGGERS, TROUSERS, DISTRESSED, HOODED, CARDIGAN, HAT, BOTTOMS |