Fold 3 - Understanding why coefficient 41833 was selected
Tag: GSTAAD COLLECTION
Selected Coefficient: 41833
Taxonomy Path: 1.6.6
Taxonomy Name:
Products with this tag: 5
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 | |
| -62500 | 4.000000 | -1.6.9 | -9.6.1 (-(9*83^2 + 6*83 + 1)) | No |
These are the training products that have the "GSTAAD COLLECTION" tag (processing sequence 2809). 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 |
|---|---|---|---|---|---|---|---|
| 13761 | Short White Topaz Yellow Gold Drop Earrings | 41833 | none | 0 | none | ||
| 13762 | Short Teal Topaz and White Topaz Drop Earrings in Yellow Gold | 41833 | none | 0 | none | ||
| 13777 | Short Diamond Earrings in 18ct Yellow Gold | 41833 | none | 0 | none | ||
| 13784 | Long Diamond Earrings in 18ct Yellow Gold | 41833 | none | 0 | none | ||
| 13785 | Diamond Ring with Teal Topaz in Wedeln Design in 18ct Yellow Gold | -62500 | 18CT GOLD, RING | -104333 | none |