Fold 0 - Understanding why coefficient 21166 was selected
Tag: GARNETS
Selected Coefficient: 21166
Taxonomy Path: 1.6.3
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? |
|---|---|---|---|---|---|
| 21166 | 3.000290 | 1.6.3 | 3.6.1 (3*83^2 + 6*83 + 1) | Yes | |
| 41833 | 3.000290 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | No | |
| 55611 | 3.000290 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| -83666 | 5.000000 | -2.12.12 | -12.12.2 (-(12*83^2 + 12*83 + 2)) | No |
These are the training products that have the "GARNETS" tag (processing sequence 4589). 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 |
|---|---|---|---|---|---|---|---|
| 20696 | Bloom Necklace | 55611 | none | 34445 | PERIDOTS | ||
| 20640 | Maleficent Hoops with stones | 41833 | none | 20667 | MALEFICENT, PERIDOTS | ||
| 20651 | Drift Bracelet with assorted stones | 21166 | none | 0 | PERIDOTS | ||
| 20644 | Fearless Earrings with stones | 0 | DANGLES | -21166 | PERIDOTS | ||
| 20661 | Marquise Necklace | 0 | LAYERING | -21166 | none | ||
| 20662 | Navette Earrings | -83666 | POSTS, HOOPS, DANGLES | -104832 | none |