Fold 3 - 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: 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? |
|---|---|---|---|---|---|
| 50403 | 2.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 31680 | 2.000320 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| -3956801 | 4.000000 | -7.0.2.8 | -8.2.0.7 (-(8*79^3 + 2*79^2 + 7)) | No | |
| 121400252 | 4.000000 | 4.4.18.9.3 | 3.9.18.4.4 (3*79^4 + 9*79^3 + 18*79^2 + 4*79 + 4) | No |
These are the training products that have the "DOG TAG" tag (processing sequence 1228). 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 | 121400252 | COLOR_BLACK | 121349849 | DOGS | ||
| 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 | |
| 7505 | 1" Puppy - Assorted | -3956801 | COLOR_ASSORTED | -4007204 | DOGS |