Fold 1 - Understanding why coefficient 206837 was selected
Tag: ROSE GOLD BUCKLE
Selected Coefficient: 206837
Taxonomy Path: 1.2.30
Taxonomy Name:
Products with this tag: 5
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 206837 | 1.024096 | 1.2.30 | 30.2.1 (30*83^2 + 2*83 + 1) | Yes | |
| 641176 | 1.024096 | 1.6.10.1 | 1.10.6.1 (571787 + 10*83^2 + 6*83 + 1) | Apparel & Accessories > Jewelry > Watch Accessories > Watch Bands | No |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "ROSE GOLD BUCKLE" tag (processing sequence 3965). 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 | 434339 | none | |
| 12117 | Sand Silicone Strap - Matte Black Buckle | 641176 | Apparel & Accessories > Jewelry > Watch Accessories > Watch Bands | none | 434339 | none | |
| 12098 | Orange Silicone Strap - Rose Gold Buckle | 206837 | none | 0 | none | ||
| 12118 | Sand Silicone Strap - Rose Gold Buckle | 206837 | none | 0 | none | ||
| 12127 | Terra Strap - Rose Gold Buckle | 0 | CAMEL WATCH STRAP | -206837 | none |