Fold 1 - Understanding why coefficient 62500 was selected
Tag: 18CT GOLD
Selected Coefficient: 62500
Taxonomy Path: 1.6.9
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 62500 | 3.000145 | 1.6.9 | 9.6.1 (9*83^2 + 6*83 + 1) | Yes | |
| 41833 | 3.000435 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No | |
| -41833 | 6.000000 | -1.6.6 | -6.6.1 (-(6*83^2 + 6*83 + 1)) | No |
These are the training products that have the "18CT GOLD" tag (processing sequence 3200). 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 |
|---|---|---|---|---|---|---|---|
| 255 | Stack Ring ~ Combo 2 | 62500 | none | 0 | none | ||
| 13704 | Teal Topaz Cocktail Ring | 62500 | none | 0 | none | ||
| 236 | Stack Ring ~ Combo 7 | 62500 | none | 0 | none | ||
| 13813 | Blue Topaz & Diamond Earrings | 41833 | none | -20667 | none | ||
| 13799 | The Colours of Summer Ring | 0 | RING | -62500 | none | ||
| 13807 | Purple Amethyst & Diamond Earrings | 0 | EARRINGS | -62500 | none | ||
| 13785 | Diamond Ring with Teal Topaz in Wedeln Design in 18ct Yellow Gold | -41833 | RING, GSTAAD COLLECTION | -104333 | none |