Fold 3 - Understanding why coefficient 56644 was selected
Tag: NEBULAE
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 6
Unique residual values tried: 2
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 | 2.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 18723 | 4.000000 | 0.0.3 | 3.0.0 (3*79^2) | No |
These are the training products that have the "NEBULAE" tag (processing sequence 2145). 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 |
|---|---|---|---|---|---|---|---|
| 13174 | Nebulae - Anillo Oro + Turmalina | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13455 | Nebulae - Anillo Oro + Rubí redondo | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13456 | Nebulae - Anillo Oro + Topacio London Blue | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13539 | Nebulae - Anillo Oro + Rodolita | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13450 | Nebulae - Anillo Oro + Aguamarina | 18723 | AGUAMARINA | -37921 | none | ||
| 13451 | Nebulae - Anillo Oro + Aguamarina redonda | 18723 | AGUAMARINA | -37921 | none |