Fold 3 - Understanding why coefficient 26870 was selected
Tag: DINING TABLE
Selected Coefficient: 26870
Taxonomy Path: 10.24.4
Taxonomy Name: Furniture > Tables > Kitchen & Dining Room Tables
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 26870 | 0.012658 | 10.24.4 | 4.24.10 (4*79^2 + 24*79 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | Yes |
| 2503836 | 0.025316 | 10.15.6.5 | 5.6.15.10 (5*79^3 + 6*79^2 + 15*79 + 10) | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | No |
These are the training products that have the "DINING TABLE" tag (processing sequence 1217). 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 |
|---|---|---|---|---|---|---|---|
| 8398 | Rectangular Dining Table | 2503836 | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | none | 2476966 | none | |
| 6189 | Double Cross Dining Table | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 6195 | Oak & Glass Dining Table | 26870 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none |