Fold 3 - Understanding why coefficient 31818 was selected
Tag: LIVING ROOM FURNITURE
Selected Coefficient: 31818
Taxonomy Path: 10.22.6
Taxonomy Name: Furniture > Sofas > Sectional Sofas
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 31818 | 1.028169 | 10.22.6 | 6.22.10 (6*71^2 + 22*71 + 10) | Furniture > Sofas > Sectional Sofas | Yes |
| 363459 | 1.056338 | 10.7.1.1 | 1.1.7.10 (357911 + 5041 + 7*71 + 10) | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | No |
| 923 | 6.000000 | 0.13 | 13.0 (13*71) | No |
These are the training products that have the "LIVING ROOM FURNITURE" tag (processing sequence 1591). 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 |
|---|---|---|---|---|---|---|---|
| 5953 | Modern Creative Casual Chair With Stool | 363459 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 331641 | none | |
| 5577 | Opulent Pumpkin Shape Fabric Sofa Chair | 363459 | Furniture > Chairs > Armchairs, Recliners & Sleeper Chairs > Armchairs | none | 331641 | none | |
| 9579 | Rich Look Luxury Sectional Sofa Set | 31818 | Furniture > Sofas > Sectional Sofas | none | 0 | none | |
| 5966 | Imperial U Shaped Modern Fabric Sofa Set | 31818 | Furniture > Sofas > Sectional Sofas | none | 0 | none | |
| 9593 | Lavish Italian Tufted Leather Sectional Sofa Set | 31818 | Furniture > Sofas > Sectional Sofas | none | 0 | none | |
| 9589 | Multi-functional Wide Corner Sectional Sofa Set | 31818 | Furniture > Sofas > Sectional Sofas | none | 0 | none | |
| 9582 | Stylish Velvet Upholstery Tufted Sofa Set | 923 | 2 WEEKS DELIVERY | -30895 | none |