Fold 3 - Understanding why coefficient 50403 was selected
Tag: SAPPHIRE
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
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? |
|---|---|---|---|---|---|
| 50403 | 2.012658 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 195798973 | 2.012658 | 1.1.10.2.5 | 5.2.10.1.1 (5*79^4 + 2*79^3 + 10*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Overcoats | No |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 5 | 3.000000 | 5 | 5 (5) | Bundles | No |
These are the training products that have the "SAPPHIRE" tag (processing sequence 4353). 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 |
|---|---|---|---|---|---|---|---|
| 8039 | Glamorous Blue Sapphire Female Solid Silver Canadian Mink Fur Coat M/L | 195798973 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Overcoats | none | 195748570 | none | |
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 17732 | GEMSTONE POPCORN | BUNDLE | 5 | Bundles | none | -50398 | none | |
| 13840 | Birthstone Halo Earrings - Sapphire | 0 | THE BIRTHSTONE COLLECTION | -50403 | none |