Fold 0 - Understanding why coefficient 31680 was selected
Tag: DOG TAG
Selected Coefficient: 31680
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
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? |
|---|---|---|---|---|---|
| 31680 | 2.000160 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
| 50403 | 2.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 2040880 | 3.000000 | 73.0.11.4 | 4.11.0.73 (4*79^3 + 11*79^2 + 73) | No | |
| 12357340 | 3.000000 | 2.2.5.25 | 25.5.2.2 (25*79^3 + 5*79^2 + 2*79 + 2) | No |
These are the training products that have the "DOG TAG" tag (processing sequence 1229). 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 | 12357340 | COLOR_BLACK | 12325660 | DOGS | ||
| 7505 | 1" Puppy - Assorted | 2040880 | COLORFUL, COLOR_ASSORTED | 2009200 | DOGS | ||
| 9251 | Floral Dreamcatcher Dog Tag | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 18723 | none | |
| 9249 | Turquoise Wolf Feather Wolf Tag | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | none |