Fold 0 - Understanding why coefficient 3039447 was selected
Tag: MEN SHIRT
Selected Coefficient: 3039447
Taxonomy Path: 1.1.13.6
Taxonomy Name: Apparel & Accessories > Clothing > Clothing Tops > Polos
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? |
|---|---|---|---|---|---|
| 3039447 | 0.000160 | 1.1.13.6 | 6.13.1.1 (6*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Polos | Yes |
| 3538727 | 0.000160 | 1.1.14.7 | 7.14.1.1 (7*79^3 + 14*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | No |
These are the training products that have the "MEN SHIRT" tag (processing sequence 3222). 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 |
|---|---|---|---|---|---|---|---|
| 9970 | CASUAL LOUNGE SHORTS | 3538727 | Apparel & Accessories > Clothing > Shorts > Jogger Shorts | none | 499280 | none | |
| 12014 | Ralph Lauren Custom Fit polo for men | 3039447 | Apparel & Accessories > Clothing > Clothing Tops > Polos | none | 0 | none |