Fold 3 - Understanding why coefficient 82766 was selected
Tag: FASHION BACKPACK
Selected Coefficient: 82766
Taxonomy Path: 15.1.12
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 82766 | 0.000000 | 15.1.12 | 12.1.15 (12*83^2 + 83 + 15) | Yes |
These are the training products that have the "FASHION BACKPACK" tag (processing sequence 1010). 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 |
|---|---|---|---|---|---|---|---|
| 31843 | Monogrammed Meadow Floral Backpack | 82766 | none | 0 | none | ||
| 31844 | Monogrammed Garden Floral Backpack | 82766 | none | 0 | none | ||
| 31845 | Monogrammed Navy Nylon Kids Backpack | 82766 | none | 0 | none | ||
| 31872 | Monogrammed Creme Nylon Kids Backpack | 82766 | none | 0 | none | ||
| 31885 | Monogrammed Mint Nylon Kids Backpack | 82766 | none | 0 | none |