Fold 4 - Understanding why coefficient 50403 was selected
Tag: ADD A STERLING SILVER CHAIN? 16 INCH CHAIN
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 5
Unique residual values tried: 4
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 | 3.000000 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 0 | 3.000160 | 0 | 0 (0) | No | |
| 18723 | 3.000160 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| -69126 | 4.000000 | -1.6.11 | -11.6.1 (-(11*79^2 + 6*79 + 1)) | No |
These are the training products that have the "ADD A STERLING SILVER CHAIN? 16 INCH CHAIN" tag (processing sequence 390). 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 |
|---|---|---|---|---|---|---|---|
| 9417 | Raw Sapphire Necklace - Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9520 | Raw Ruby Necklace in Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | GOLD AND SILVER, PINK RUBY | |
| 9518 | Herkimer Diamond Necklace - Add a Sterling Silver Chain | 18723 | PENDANT | -31680 | MENS JEWELRY, WHITE CRYSTAL, HERKIMER DIAMOND | ||
| 9519 | Sterling Silver Rainbow Moonstone Necklace | 0 | RAINBOW MOONSTONE | -50403 | GOLD AND SILVER | ||
| 9458 | Raw Sapphire Sterling Silver Pendant | -69126 | PENDANT NECKLACE, 8TH ANNIVERSARY | -119529 | RAW STONE ELEGANCE |