Fold 0 - Understanding why coefficient 7816 was selected
Tag: TRAVEL MUG
Selected Coefficient: 7816
Taxonomy Path: 14.11.1
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? |
|---|---|---|---|---|---|
| 7816 | 1.000290 | 14.11.1 | 1.11.14 (6889 + 11*83 + 14) | Yes | |
| 8026612 | 1.000290 | 14.11.3.14 | 14.3.11.14 (14*83^3 + 3*83^2 + 11*83 + 14) | No | |
| 382595320 | 1.000290 | 14.11.10.5.8 | 8.5.10.11.14 (8*83^4 + 5*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "TRAVEL MUG" tag (processing sequence 6736). 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 |
|---|---|---|---|---|---|---|---|
| 18299 | Grape Cat 30 oz. Travel Mug | 382595320 | none | 382587504 | none | ||
| 18309 | Vegan Circle Travel Mug | 8026612 | none | 8018796 | none | ||
| 15148 | Rambler 24OZ Mug | 7816 | none | 0 | none | ||
| 15155 | Rambler 6OZ Mug 2PK | 0 | CAMP MUG | -7816 | none |