Fold 0 - Understanding why coefficient 10082 was selected
Tag: CHAIN LENGTH 18"
Selected Coefficient: 10082
Taxonomy Path: 0.0.2
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 10082 | 2.014085 | 0.0.2 | 2.0.0 (2*71^2) | Yes | |
| 362384 | 2.014085 | 0.63.0.1 | 1.0.63.0 (357911 + 63*71) | No | |
| -2928893 | 3.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| 81510 | 3.000000 | 2.12.16 | 16.12.2 (16*71^2 + 12*71 + 2) | No |
These are the training products that have the "CHAIN LENGTH 18"" tag (processing sequence 840). 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 |
|---|---|---|---|---|---|---|---|
| 9443 | Rose Quartz Charm Necklace - Sterling Silver Plated | 362384 | CHARM NECKLACE, AFFORDABLE | 352302 | none | ||
| 9012 | Blue Topaz - Rose Gold | 81510 | 19TH ANNIVERSARY | 71428 | LIGHT BLUE | ||
| 9563 | Turquoise Charm Necklace - Antiqued Sterling Silver - Brown Leather | 10082 | 11TH ANNIVERSARY | 0 | none | ||
| 9026 | Raw Citrine Pendant Necklace - Sterling Silver with Chain | -2928893 | CRYSTAL NECKLACE, WOMEN | -2938975 | none |