Fold 1 - Understanding why coefficient 563 was selected
Tag: OFFICE FURNITURE
Selected Coefficient: 563
Taxonomy Path: 10.7
Taxonomy Name: Furniture > Chairs
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? |
|---|---|---|---|---|---|
| 563 | 0.000160 | 10.7 | 7.10 (7*79 + 10) | Furniture > Chairs | Yes |
| 44250 | 0.000481 | 10.7.7 | 7.7.10 (7*79^2 + 7*79 + 10) | Furniture > Chairs > Gaming Chairs | No |
These are the training products that have the "OFFICE FURNITURE" tag (processing sequence 2289). 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 |
|---|---|---|---|---|---|---|---|
| 18825 | Gaming Chair - Juventus SD | 44250 | Furniture > Chairs > Gaming Chairs | none | 43687 | none | |
| 18828 | Office Chair SD - 1103 | 563 | Furniture > Chairs | none | 0 | none | |
| 18829 | Office Chair SD - 6046 | 563 | Furniture > Chairs | none | 0 | none | |
| 18833 | Office Chair SD - ST18 | 563 | Furniture > Chairs | none | 0 | none |