Fold 0 - Understanding why coefficient 50403 was selected
Tag: NECKLACES
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 50403 | 1.000000 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| -4025525 | 2.000000 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | No |
These are the training products that have the "NECKLACES" tag (processing sequence 2150). 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 |
|---|---|---|---|---|---|---|---|
| 1467 | Aquamarine Trapeze | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 14237 | Blossom Flower Necklace in Gold | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 11181 | 14K Gold Mini Pearl Accent Link Necklace | -4025525 | GOLD, 50-100 | -4075928 | none |