Fold 0 - Understanding why coefficient 37921 was selected
Tag: EMERALD
Selected Coefficient: 37921
Taxonomy Path: 1.6.6
Taxonomy Name: Apparel & Accessories > Jewelry > Earrings
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 37921 | 0.000160 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | Yes |
| 69126 | 0.000160 | 1.6.11 | 11.6.1 (11*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Watches | No |
These are the training products that have the "EMERALD" tag (processing sequence 1286). 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 |
|---|---|---|---|---|---|---|---|
| 9319 | Raw Emerald Necklace - 14K Gold-Filled | 69126 | Apparel & Accessories > Jewelry > Watches | 14K GOLD-FILLED, 1ST ANNIVERSARY, 20TH ANNIVERSARY | 31205 | GREEN CRYSTAL | |
| 13863 | Birthstone Halo Earrings - Emerald | 37921 | Apparel & Accessories > Jewelry > Earrings | STUD EARRINGS, 9CT GOLD | 0 | none |