Fold 4 - 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: 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? |
|---|---|---|---|---|---|
| 56732 | 0.000160 | 10.7.9 | 9.7.10 (9*79^2 + 7*79 + 10) | Furniture > Chairs > Kitchen & Dining Room Chairs | Yes |
| 1061533 | 0.000320 | 10.7.12.2 | 2.12.7.10 (2*79^3 + 12*79^2 + 7*79 + 10) | Furniture > Chairs > Table & Bar Stools > Bar Stools | No |
These are the training products that have the "CHAIR" tag (processing sequence 2407). 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 |
|---|---|---|---|---|---|---|---|
| 13339 | Azul Bar Stool | 1061533 | Furniture > Chairs > Table & Bar Stools > Bar Stools | none | 1004801 | DINING ROOM FURNITURE | |
| 18813 | Lutcha Chair - FF329 | 56732 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none | |
| 18838 | Turner - FF 445 | 56732 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none |