Fold 0 - Understanding why coefficient 31680 was selected
Tag: BLUE TOPAZ
Selected Coefficient: 31680
Taxonomy Path: 1.6.5
Taxonomy Name: Apparel & Accessories > Jewelry > Charms & Pendants
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? |
|---|---|---|---|---|---|
| 31680 | 1.000000 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | Yes |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "BLUE TOPAZ" tag (processing sequence 873). 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 |
|---|---|---|---|---|---|---|---|
| 13878 | Silver Filigree Pendant in White Topaz & Blue Topaz | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | none | |
| 13886 | Octagon White Gold Pendant in White Topaz & Blue Topaz | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 0 | none | |
| 9011 | Blue Topaz Pendant - Sterling Silver | 0 | STATEMENT NECKLACE | -31680 | BACKING MATERIAL 0925 STERLING SILVER |