Fold 0 - Understanding why coefficient 56644 was selected
Tag: CARBONO14
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
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? |
|---|---|---|---|---|---|
| 56644 | 4.000320 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 31680 | 4.000641 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 0 | 6.000320 | 0 | 0 (0) | No | |
| -6241 | 6.000481 | -0.0.1 | -1.0.0 (-(6241)) | No | |
| 18723 | 6.000481 | 0.0.3 | 3.0.0 (3*79^2) | No |
These are the training products that have the "CARBONO14" tag (processing sequence 929). 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 |
|---|---|---|---|---|---|---|---|
| 13397 | CARBONO14-Anillo Círculo Pequeño | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13470 | CARBONO14 - Anillo Triángulo Grande | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13471 | CARBONO14 - Anillo Triángulo Mediano | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13514 | CARBONO14 - Anillo Círculo Grande | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13522 | CARBONO14 - Colgante Círculo Pequeño | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -24964 | none | |
| 13521 | CARBONO14 - Colgante Círculo Mediano | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -24964 | none | |
| 13448 | CARBONO14-Anillo Geométrico Diagonal | 18723 | PLATA | -37921 | none | ||
| 13519 | CARBONO14 - Aros Círculo Pequeño | 0 | PLATA | -56644 | none | ||
| 13520 | CARBONO14 - Aros Triángulo Pequeño | 0 | PLATA | -56644 | none | ||
| 13507 | CARBONO14 - Colgante Círculo Grande | -6241 | PLATA | -62885 | none |