Fold 0 - Understanding why coefficient 31680 was selected
Tag: YELLOW GOLD
Selected Coefficient: 31680
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
Products with this tag: 3
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 31680 | 0.000000 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
These are the training products that have the "YELLOW GOLD" tag (processing sequence 1013). 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 |
|---|---|---|---|---|---|---|---|
| 338 | ROSANNE PUGLIESE 18K & GEOMETRIC AMETRINE PENDANT ON 14K CHAIN | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | PENDANT | |
| 379 | ROSANNE PUGLIESE 18K & GEOMETRIC VIOLET AMETHYST PENDANT ON 22K CHAIN | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | PENDANT | |
| 13882 | Octagon Gold Pendant in Garnet & Citrine | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | none |