Fold 4 - Understanding why coefficient 8122283 was selected
Tag: DISTRESSED
Selected Coefficient: 8122283
Taxonomy Path: 69.1.17.14
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 8122283 | 3.000000 | 69.1.17.14 | 14.17.1.69 (14*83^3 + 17*83^2 + 83 + 69) | Yes | |
| -10010052 | 4.000000 | -3.4.42.17 | -17.42.4.3 (-(17*83^3 + 42*83^2 + 4*83 + 3)) | No | |
| -15 | 4.000000 | -15 | -15 (-(15)) | No | |
| 2955465 | 4.000000 | 1.1.14.5 | 5.14.1.1 (5*83^3 + 14*83^2 + 83 + 1) | No |
These are the training products that have the "DISTRESSED" tag (processing sequence 3965). 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 |
|---|---|---|---|---|---|---|---|
| 7205 | I LOVE MY DOG TRUCKER MESH CAP | 8122283 | EMBROIDERED | 0 | HAIR | ||
| 7219 | MAMA TRUCKER MESH | 8122283 | EMBROIDERED | 0 | none | ||
| 26828 | High Waisted Ripped Denim Short | 2955465 | none | -5166818 | BOTTOMS, CLEARANCE | ||
| 7108 | BARN HAIR DON'T CARE TRUCKER MESH | -15 | FARM, EMBROIDERED | -8122298 | HAIR | ||
| 31225 | Leo Sweat Utility Cargos | -10010052 | JEGGINGS, JEANS, BASEBALL CAP, KNITWEAR | -18132335 | JOGGERS, CARDIGAN, HAT, TROUSERS, BOTTOMS |