Fold 1 - Understanding why coefficient 50403 was selected
Tag: DOG TAG
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 50403 | 0.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 31680 | 0.000320 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
These are the training products that have the "DOG TAG" tag (processing sequence 1222). 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 |
|---|---|---|---|---|---|---|---|
| 9250 | Wolf Love Dog Tag | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9251 | Floral Dreamcatcher Dog Tag | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9249 | Turquoise Wolf Feather Wolf Tag | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -18723 | none |