Fold 3 - Understanding why coefficient 2552649 was selected
Tag: FREE PEOPLEWE THE FREE
Selected Coefficient: 2552649
Taxonomy Path: 1.1.14.5
Taxonomy Name: Apparel & Accessories > Clothing > Shorts > Denim Shorts
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 2552649 | 0.000162 | 1.1.14.5 | 5.14.1.1 (5*79^3 + 14*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Shorts > Denim Shorts | Yes |
| 4031766 | 0.000162 | 1.1.14.8 | 8.14.1.1 (8*79^3 + 14*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Shorts > Legging Shorts | No |
| 78948730 | 0.000320 | 1.1.10.2.2 | 2.2.10.1.1 (2*79^4 + 2*79^3 + 10*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Bomber Jackets | No |
These are the training products that have the "FREE PEOPLEWE THE FREE" tag (processing sequence 3666). 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 |
|---|---|---|---|---|---|---|---|
| 985 | Karma Bomber | 78948730 | Apparel & Accessories > Clothing > Outerwear > Coats & Jackets > Bomber Jackets | none | 76396081 | none | |
| 1061 | SMLS Bike Shorts | 4031766 | Apparel & Accessories > Clothing > Shorts > Legging Shorts | none | 1479117 | none | |
| 832 | Beginners Luck Slouch Sho | 2552649 | Apparel & Accessories > Clothing > Shorts > Denim Shorts | none | 0 | none |