Fold 3 - Understanding why coefficient 7495582 was selected
Tag: CARD
Selected Coefficient: 7495582
Taxonomy Path: 18.4.9.13
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 7495582 | 0.012195 | 18.4.9.13 | 13.9.4.18 (13*83^3 + 9*83^2 + 4*83 + 18) | Yes | |
| 5780221 | 0.012199 | 18.4.9.10 | 10.9.4.18 (10*83^3 + 9*83^2 + 4*83 + 18) | No | |
| 3458628 | 0.012629 | 18.4.4.6 | 6.4.4.18 (6*83^3 + 4*83^2 + 4*83 + 18) | No | |
| 18 | 0.060241 | 18 | 18 (18) | No |
These are the training products that have the "CARD" tag (processing sequence 4584). 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 |
|---|---|---|---|---|---|---|---|
| 9612 | Chanel No. 5 Card by Janet Karp | 7495582 | none | 0 | CHANEL | ||
| 19258 | Card - Indian Flower (Pink) | 7495582 | none | 0 | none | ||
| 19284 | Card - Safari | 7495582 | none | 0 | none | ||
| 19277 | Card - Indian Flower (Blue) | 5780221 | none | -1715361 | none | ||
| 22729 | Gift Tags - The Stables | 3458628 | none | -4036954 | none | ||
| 19115 | Card - Peacock | 18 | none | -7495564 | none |