Fold 2 - Understanding why coefficient 76121 was selected
Tag: SIDEBOARD
Selected Coefficient: 76121
Taxonomy Path: 10.4.11
Taxonomy Name: Furniture > Cabinets & Storage > Sideboards
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 76121 | 0.024096 | 10.4.11 | 11.4.10 (11*83^2 + 4*83 + 10) | Furniture > Cabinets & Storage > Sideboards | Yes |
| 757 | 0.036145 | 10.9 | 9.10 (9*83 + 10) | Furniture > Entertainment Centers & TV Stands | No |
| 43336 | 0.036145 | 10.24.6 | 6.24.10 (6*83^2 + 24*83 + 10) | No |
These are the training products that have the "SIDEBOARD" tag (processing sequence 4836). 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 |
|---|---|---|---|---|---|---|---|
| 6203 | Oak Sideboard With Drawers | 76121 | Furniture > Cabinets & Storage > Sideboards | none | 0 | none | |
| 19409 | Portsea Console (A) from India | 76121 | Furniture > Cabinets & Storage > Sideboards | none | 0 | none | |
| 20535 | Amara Bedside | 43336 | none | -32785 | CONSOLE | ||
| 6206 | Walnut TV Stand / Bookcase | 757 | Furniture > Entertainment Centers & TV Stands | none | -75364 | none |