Fold 3 - Understanding why coefficient 641176 was selected
Tag: ROSE GOLD BUCKLE
Selected Coefficient: 641176
Taxonomy Path: 1.6.10.1
Taxonomy Name: Apparel & Accessories > Jewelry > Watch Accessories > Watch Bands
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? |
|---|---|---|---|---|---|
| 641176 | 0.012048 | 1.6.10.1 | 1.10.6.1 (571787 + 10*83^2 + 6*83 + 1) | Apparel & Accessories > Jewelry > Watch Accessories > Watch Bands | Yes |
| 206837 | 0.024096 | 1.2.30 | 30.2.1 (30*83^2 + 2*83 + 1) | No |
These are the training products that have the "ROSE GOLD BUCKLE" tag (processing sequence 3629). 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 |
|---|---|---|---|---|---|---|---|
| 12097 | Orange Silicone Strap - Silver Buckle | 641176 | Apparel & Accessories > Jewelry > Watch Accessories > Watch Bands | none | 0 | none | |
| 12117 | Sand Silicone Strap - Matte Black Buckle | 641176 | Apparel & Accessories > Jewelry > Watch Accessories > Watch Bands | none | 0 | none | |
| 12109 | Sky Silicone Strap - Rose Gold Buckle | 206837 | none | -434339 | none |