Fold 4 - Understanding why coefficient 41833 was selected
Tag: OPAL
Selected Coefficient: 41833
Taxonomy Path: 1.6.6
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 41833 | 1.000145 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | Yes | |
| 62500 | 1.000145 | 1.6.9 | 9.6.1 (9*83^2 + 6*83 + 1) | No | |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "OPAL" tag (processing sequence 3616). 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 |
|---|---|---|---|---|---|---|---|
| 26183 | Opal & Diamond Wishbone Ring Sterling Silver | 62500 | none | 20667 | __LABEL:50% OFF | ||
| 26266 | Pink Amethyst, Sapphire & Opal Daith Earring 9k Gold | 41833 | none | 0 | none | ||
| 13839 | Birthstone Halo Earrings - Opal | 0 | THE BIRTHSTONE COLLECTION | -41833 | none |