Fold 3 - Understanding why coefficient 55611 was selected
Tag: GARNETS
Selected Coefficient: 55611
Taxonomy Path: 1.6.8
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 5
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? |
|---|---|---|---|---|---|
| 55611 | 2.000290 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | Yes | |
| 21166 | 2.000435 | 1.6.3 | 3.6.1 (3*83^2 + 6*83 + 1) | No | |
| 41833 | 2.000435 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | No | |
| -28055 | 5.000000 | -1.6.4 | -4.6.1 (-(4*83^2 + 6*83 + 1)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No |
These are the training products that have the "GARNETS" tag (processing sequence 4614). 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 |
|---|---|---|---|---|---|---|---|
| 20661 | Marquise Necklace | 55611 | none | 0 | FRESHWATER PEARLS, FEARLESS, ELEGANCE, BLUE TOPAZ | ||
| 20696 | Bloom Necklace | 55611 | none | 0 | FRESHWATER PEARLS, FEARLESS, BESTSELLERS, ELEGANCE, PERIDOTS | ||
| 20640 | Maleficent Hoops with stones | 41833 | none | -13778 | PERIDOTS, MALEFICENT | ||
| 20651 | Drift Bracelet with assorted stones | 21166 | none | -34445 | FRESHWATER PEARLS, FEARLESS, BESTSELLERS, ELEGANCE, PERIDOTS | ||
| 20644 | Fearless Earrings with stones | 0 | DANGLES | -55611 | FRESHWATER PEARLS, FEARLESS, BESTSELLERS, PERIDOTS | ||
| 20662 | Navette Earrings | -28055 | HOOPS, POSTS, DANGLES, AQUAMARINE | -83666 | FRESHWATER PEARLS, FEARLESS, ELEGANCE, BLUE TOPAZ |