Fold 1 - Understanding why coefficient 25632 was selected
Tag: DOG TAG
Selected Coefficient: 25632
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 25632 | 1.000198 | 1.6.5 | 5.6.1 (5*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
| 40755 | 1.000198 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 11902017 | 2.000000 | 3.3.18.33 | 33.18.3.3 (33*71^3 + 18*71^2 + 3*71 + 3) | No |
These are the training products that have the "DOG TAG" tag (processing sequence 1060). 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 |
|---|---|---|---|---|---|---|---|
| 7506 | 1.5" 'Fetch' Bone | 11902017 | ANIMAL, COLOR_BLACK | 11876385 | none | ||
| 9251 | Floral Dreamcatcher Dog Tag | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 15123 | none | |
| 9249 | Turquoise Wolf Feather Wolf Tag | 25632 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | none |