Fold 0 - Understanding why coefficient 56644 was selected
Tag: ENGAGEMENT RINGS
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 3
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 | 1.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 548783632 | 2.000000 | 20.0.5.7.14 | 14.7.5.0.20 (14*79^4 + 7*79^3 + 5*79^2 + 20) | No |
These are the training products that have the "ENGAGEMENT RINGS" tag (processing sequence 1295). 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 |
|---|---|---|---|---|---|---|---|
| 10197 | VIP Jewellery Design Experience! | 548783632 | GOLD, BRIDAL | 548726988 | none | ||
| 1458 | Polaris Ring in Moss Agate | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | GEMSTONE | |
| 11486 | Ornate Cubic Zircon Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none |