Fold 0 - Understanding why coefficient 56644 was selected
Tag: 18CT GOLD
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 56644 | 2.000320 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 50403 | 2.000481 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| -37921 | 5.000160 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No | |
| -31680 | 5.000160 | -1.6.5 | -5.6.1 (-(5*79^2 + 6*79 + 1)) | No |
These are the training products that have the "18CT GOLD" tag (processing sequence 261). 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 |
|---|---|---|---|---|---|---|---|
| 236 | Stack Ring ~ Combo 7 | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 255 | Stack Ring ~ Combo 2 | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 285 | Stack Ring ~ Combo 3 | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13704 | Teal Topaz Cocktail Ring | 50403 | Apparel & Accessories > Jewelry > Necklaces | YELLOW GOLD | -6241 | 9CT GOLD | |
| 13799 | The Colours of Summer Ring | 50403 | Apparel & Accessories > Jewelry > Necklaces | YELLOW GOLD | -6241 | THE ENGLISH GARDENS COLLECTION, WHITE TOPAZ | |
| 13813 | Blue Topaz & Diamond Earrings | -31680 | BLUE TOPAZ, DIAMOND | -88324 | 9CT GOLD, THE ENGLISH GARDENS COLLECTION | ||
| 13807 | Purple Amethyst & Diamond Earrings | -37921 | EARRINGS, DIAMOND | -94565 | 9CT GOLD, THE ENGLISH GARDENS COLLECTION |