Fold 4 - Understanding why coefficient 56644 was selected
Tag: PURPLE AMETHYST
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 4
Unique residual values tried: 3
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 | 2.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| -50403 | 3.000000 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "PURPLE AMETHYST" tag (processing sequence 3326). 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 |
|---|---|---|---|---|---|---|---|
| 13802 | White Topaz & Purple Amethyst Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13815 | Purple Amethyst & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13824 | White Topaz & Purple Amethyst & Agate Necklace | 0 | NECKLACE | -56644 | none | ||
| 13825 | Purple Amethyst & Citrine & White Topaz Necklace | -50403 | NECKLACE, CITRINE | -107047 | none |