Fold 1 - Understanding why coefficient 41833 was selected
Tag: TOPAZ
Selected Coefficient: 41833
Taxonomy Path: 1.6.6
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 2
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 | 1.000000 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | Yes | |
| -41833 | 2.000000 | -1.6.6 | -6.6.1 (-(6*83^2 + 6*83 + 1)) | No |
These are the training products that have the "TOPAZ" tag (processing sequence 1781). 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 |
|---|---|---|---|---|---|---|---|
| 19317 | Alma Earrings | 41833 | none | 0 | DANGLE, AQUATICA | ||
| 20663 | Boundless Earrings | 41833 | none | 0 | DANGLES, AQUATICA | ||
| 30459 | Multi-Gemstone Earrings | -41833 | DROP EARRINGS, GEMSTONE EARRINGS | -83666 | ROCZ |