Fold 3 - Understanding why coefficient 1116 was selected
Tag: MATERIAL:WOOD
Selected Coefficient: 1116
Taxonomy Path: 10.14
Taxonomy Name: Furniture > Ottomans
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 1116 | 0.025316 | 10.14 | 14.10 (14*79 + 10) | Furniture > Ottomans | Yes |
| 26870 | 0.050793 | 10.24.4 | 4.24.10 (4*79^2 + 24*79 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | No |
| 994225 | 0.050793 | 10.24.1.2 | 2.1.24.10 (2*79^3 + 6241 + 24*79 + 10) | Furniture > Tables > Accent Tables > End Tables | No |
These are the training products that have the "MATERIAL:WOOD" tag (processing sequence 2344). 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 |
|---|---|---|---|---|---|---|---|
| 13574 | Ridge Side Table - 30cm | 994225 | Furniture > Tables > Accent Tables > End Tables | none | 993109 | none | |
| 13400 | Woody Round Bar Table - 80cm | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | 25754 | DINING ROOM FURNITURE | |
| 13401 | Woody Stool Round - 35cm | 1116 | Furniture > Ottomans | none | 0 | none | |
| 13402 | Driftwood Drumstool - 30cm | 1116 | Furniture > Ottomans | none | 0 | none | |
| 14573 | Suar Barrel Stool - 30cm | 1116 | Furniture > Ottomans | none | 0 | none | |
| 14574 | Suar Hourglass Stool - 30cm | 1116 | Furniture > Ottomans | none | 0 | none |