Fold 2 - 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: 5
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 | 2.000160 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 37921 | 2.000320 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | No |
| -37921 | 4.000000 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "18CT GOLD" tag (processing sequence 2634). 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 | |
| 285 | Stack Ring ~ Combo 3 | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13813 | Blue Topaz & Diamond Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | -18723 | none | |
| 13807 | Purple Amethyst & Diamond Earrings | 0 | EARRINGS | -56644 | none | ||
| 13785 | Diamond Ring with Teal Topaz in Wedeln Design in 18ct Yellow Gold | -37921 | RING, GSTAAD COLLECTION | -94565 | none |