Fold 0 - Understanding why coefficient 45796 was selected
Tag: GEMSTONE
Selected Coefficient: 45796
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 45796 | 0.000198 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 711208 | 0.000198 | 1.6.70.1 | 1.70.6.1 (357911 + 70*71^2 + 6*71 + 1) | No |
These are the training products that have the "GEMSTONE" tag (processing sequence 797). 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 |
|---|---|---|---|---|---|---|---|
| 1456 | Bezel Set Salt and Pepper Diamond Solitaire Ring | 711208 | DELICATE | 665412 | none | ||
| 1458 | Polaris Ring in Moss Agate | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none |