Fold 0 - Understanding why coefficient 56644 was selected
Tag: CROSS
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
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? |
|---|---|---|---|---|---|
| 56644 | 1.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 1765477 | 1.000000 | 64.69.45.3 | 3.45.69.64 (3*79^3 + 45*79^2 + 69*79 + 64) | No |
These are the training products that have the "CROSS" tag (processing sequence 198). 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 |
|---|---|---|---|---|---|---|---|
| 2486 | Green Stone Cross Crystal Silver Earrings | 1765477 | EARRINGS, GOLD, CRYSTAL, GREEN | 1708833 | FAITH, STONE | ||
| 7917 | One set cross silver ring with white CZ | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none |