Fold 0 - Understanding why coefficient 62592 was selected
Tag: CHAIR
Selected Coefficient: 62592
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? |
|---|---|---|---|---|---|
| 62592 | 1.000000 | 10.7.9 | 9.7.10 (9*83^2 + 7*83 + 10) | Furniture > Chairs > Kitchen & Dining Room Chairs | Yes |
| 1197275 | 2.000000 | 0.66.7.2 | 2.7.66.0 (2*83^3 + 7*83^2 + 66*83) | No |
These are the training products that have the "CHAIR" tag (processing sequence 3521). 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 | 1197275 | DINING ROOM FURNITURE | 1134683 | none | ||
| 18813 | Lutcha Chair - FF329 | 62592 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none | |
| 18838 | Turner - FF 445 | 62592 | Furniture > Chairs > Kitchen & Dining Room Chairs | none | 0 | none |