Fold 3 - Understanding why coefficient 40755 was selected
Tag: DOG TAG
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
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? |
|---|---|---|---|---|---|
| 40755 | 2.000198 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 25632 | 2.000397 | 1.6.5 | 5.6.1 (5*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 368058 | 4.000000 | 65.0.2.1 | 1.2.0.65 (357911 + 2*71^2 + 65) | No | |
| 10409959 | 4.000000 | 10.4.6.29 | 29.6.4.10 (29*71^3 + 6*71^2 + 4*71 + 10) | No |
These are the training products that have the "DOG TAG" tag (processing sequence 1056). 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 | 10409959 | COLOR_BLACK | 10369204 | PUPPY | ||
| 7505 | 1" Puppy - Assorted | 368058 | COLORFUL, COLOR_ASSORTED | 327303 | PUPPY | ||
| 9250 | Wolf Love Dog Tag | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9251 | Floral Dreamcatcher Dog Tag | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9249 | Turquoise Wolf Feather Wolf Tag | 25632 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -15123 | none |