Fold 4 - Understanding why coefficient 40755 was selected
Tag: ADD A STERLING SILVER CHAIN? 16 INCH CHAIN
Selected Coefficient: 40755
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? |
|---|---|---|---|---|---|
| 40755 | 3.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 0 | 3.000198 | 0 | 0 (0) | No | |
| 5041 | 3.000198 | 0.0.1 | 1.0.0 (5041) | No | |
| -81510 | 4.000000 | -2.12.16 | -16.12.2 (-(16*71^2 + 12*71 + 2)) | No |
These are the training products that have the "ADD A STERLING SILVER CHAIN? 16 INCH CHAIN" tag (processing sequence 359). 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 | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9520 | Raw Ruby Necklace in Sterling Silver | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9518 | Herkimer Diamond Necklace - Add a Sterling Silver Chain | 5041 | PENDANT, CRYSTAL NECKLACE, 10TH ANNIVERSARY | -35714 | MENS GIFT | ||
| 9519 | Sterling Silver Rainbow Moonstone Necklace | 0 | RAINBOW MOONSTONE | -40755 | none | ||
| 9132 | Rainbow Moonstone Necklace - Sterling Silver Lotus Pendant | -81510 | CHARM NECKLACE, PENDANT NECKLACE, RAINBOW MOONSTONE | -122265 | CRYSTAL CHARM |