Fold 1 - Understanding why coefficient 21166 was selected
Tag: AQUATICA
Selected Coefficient: 21166
Taxonomy Path: 1.6.3
Taxonomy Name:
Products with this tag: 10
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 | 5.000435 | 1.6.3 | 3.6.1 (3*83^2 + 6*83 + 1) | Yes | |
| 55611 | 5.000435 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| 41833 | 5.000581 | 1.6.6 | 6.6.1 (6*83^2 + 6*83 + 1) | No | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -41833 | 9.000000 | -1.6.6 | -6.6.1 (-(6*83^2 + 6*83 + 1)) | No |
These are the training products that have the "AQUATICA" tag (processing sequence 3825). 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 |
|---|---|---|---|---|---|---|---|
| 20672 | Tranquility Necklace | 55611 | none | 34445 | SAPPHIRES | ||
| 20715 | Capri Necklace | 55611 | none | 34445 | AQUA CHALCEDONY | ||
| 19317 | Alma Earrings | 41833 | TOPAZ, DANGLE | 20667 | none | ||
| 20682 | Ripple Cuff | 21166 | none | 0 | none | ||
| 20650 | Ocean Bracelet | 21166 | none | 0 | none | ||
| 20687 | Cascade Earrings | 0 | DANGLES | -21166 | none | ||
| 20702 | True Earrings | 0 | DANGLES | -21166 | none | ||
| 20683 | Sanctuary Earrings | 0 | DANGLES | -21166 | none | ||
| 20668 | Tranquility Earrings | 0 | DANGLES | -21166 | none | ||
| 20663 | Boundless Earrings | -41833 | TOPAZ, DANGLES | -62999 | none |