Fold 3 - Understanding why coefficient 69126 was selected
Tag: NAVY WATCH BAND
Selected Coefficient: 69126
Taxonomy Path: 1.6.11
Taxonomy Name: Apparel & Accessories > Jewelry > Watches
Products with this tag: 4
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 69126 | 0.000000 | 1.6.11 | 11.6.1 (11*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Watches | Yes |
These are the training products that have the "NAVY WATCH BAND" tag (processing sequence 2143). 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 |
|---|---|---|---|---|---|---|---|
| 11913 | Rose White / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 11947 | Matte Black White / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12093 | Matte Black / Navy | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none | |
| 12164 | Matte Rose Gold / Brown | 69126 | Apparel & Accessories > Jewelry > Watches | none | 0 | none |