Fold 3 - Understanding why coefficient 56732 was selected
Tag: CHAIR
Selected Coefficient: 56732
Taxonomy Path: 10.7.9
Taxonomy Name: Furniture > Chairs > Kitchen & Dining Room Chairs
Products with this tag: 1
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 56732 | 0.000000 | 10.7.9 | 9.7.10 (9*79^2 + 7*79 + 10) | Furniture > Chairs > Kitchen & Dining Room Chairs | Yes |
These are the training products that have the "CHAIR" tag (processing sequence 1433). 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 |
|---|---|---|---|---|---|---|---|
| 18813 | Lutcha Chair - FF329 | 56732 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none |