Fold 0 - Understanding why coefficient 21878 was selected
Tag: DINING TABLE
Selected Coefficient: 21878
Taxonomy Path: 10.24.4
Taxonomy Name: Furniture > Tables > Kitchen & Dining Room Tables
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 21878 | 0.028169 | 10.24.4 | 4.24.10 (4*71^2 + 24*71 + 10) | Furniture > Tables > Kitchen & Dining Room Tables | Yes |
| 1820876 | 0.028169 | 10.15.6.5 | 5.6.15.10 (5*71^3 + 6*71^2 + 15*71 + 10) | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | No |
These are the training products that have the "DINING TABLE" tag (processing sequence 128). 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 | 1820876 | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | none | 1798998 | none | |
| 8399 | Square Dining Table | 1820876 | Furniture > Outdoor Furniture > Outdoor Tables > Dining Tables | none | 1798998 | SQUARE | |
| 6189 | Double Cross Dining Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none | |
| 6195 | Oak & Glass Dining Table | 21878 | Furniture > Tables > Kitchen & Dining Room Tables | none | 0 | none |