Fold 3 - Understanding why coefficient -55611 was selected
Tag: AQUAMARINE
Selected Coefficient: -55611
Taxonomy Path: -1.6.8
Taxonomy Name:
Products with this tag: 5
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 | |
| -41833 | 2.000290 | -1.6.6 | -6.6.1 (-(6*83^2 + 6*83 + 1)) | No | |
| -21166 | 2.000290 | -1.6.3 | -3.6.1 (-(3*83^2 + 6*83 + 1)) | No | |
| -83666 | 4.000000 | -2.12.12 | -12.12.2 (-(12*83^2 + 12*83 + 2)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "AQUAMARINE" tag (processing sequence 3966). 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 |
|---|---|---|---|---|---|---|---|
| 13848 | Birthstone Halo Earrings - Aquamarine | 0 | THE BIRTHSTONE COLLECTION | 55611 | none | ||
| 27984 | Aquamarine and Moon Bangle Necklace | -21166 | BANGLE, NECKLACE | 34445 | none | ||
| 306 | ROSANNE PUGLIESE 18K & FACETED OVAL AQUAMARINE MINI GEM EARRINGS | -41833 | DROPS, EARRINGS | 13778 | none | ||
| 9486 | Aquamarine Silver Wire Wrapped Necklace | -55611 | CHARM NECKLACE, WOMEN'S NECKLACE | 0 | none | ||
| 20662 | Navette Earrings | -83666 | HOOPS, POSTS, DANGLES | -28055 | GARNETS, FRESHWATER PEARLS, FEARLESS, ELEGANCE, BLUE TOPAZ |