Fold 4 - Understanding why coefficient 56644 was selected
Tag: WINTER22
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
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? |
|---|---|---|---|---|---|
| 56644 | 3.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| -18723 | 3.000160 | -0.0.3 | -3.0.0 (-(3*79^2)) | No | |
| 18723 | 3.000160 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| -37921 | 4.000000 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No |
These are the training products that have the "WINTER22" tag (processing sequence 3092). 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 |
|---|---|---|---|---|---|---|---|
| 13723 | Flat Band Ring (Silver) | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 14369 | Forever Stacking Ring (Silver) | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 12370 | Diva Chain Ring | 18723 | 14K YELLOW GOLD FILLED | -37921 | none | ||
| 10123 | Cinnamon Spice Bracelet - Garnet | -18723 | 14K YELLOW GOLD FILLED | -75367 | BRACELET | ||
| 7649 | Atlantis Necklace - Kyanite | -37921 | NECKLACE, 14K YELLOW GOLD FILLED | -94565 | none |