Fold 0 - Understanding why coefficient 6241 was selected
Tag: 12
Selected Coefficient: 6241
Taxonomy Path: 0.0.1
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 6241 | 1.000000 | 0.0.1 | 1.0.0 (6241) | Yes | |
| 2047128 | 1.000000 | 1.1.12.4 | 4.12.1.1 (4*79^3 + 12*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Pants > Jeans | No |
These are the training products that have the "12" tag (processing sequence 3279). 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 |
|---|---|---|---|---|---|---|---|
| 23 | Faded Glory girls New pants blue denim button zips 12 | 2047128 | Apparel & Accessories > Clothing > Pants > Jeans | none | 2040887 | none | |
| 14109 | Greenstone & Paua Shell Rosary, Saint Joseph Center (Nephrite Jade & Abalone) | 6241 | NEW FEB 2023 | 0 | none |