Fold 3 - Understanding why coefficient -6951085 was selected
Tag: CREW
Selected Coefficient: -6951085
Taxonomy Path: -1.1.13.12
Taxonomy Name:
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| -6951085 | 5.000000 | -1.1.13.12 | -12.13.1.1 (-(12*83^3 + 13*83^2 + 83 + 1)) | Yes | |
| 571787 | 6.000002 | 0.0.0.1 | 1.0.0.0 (571787) | No | |
| 0 | 6.000003 | 0 | 0 (0) | No | |
| 6951085 | 7.000000 | 1.1.13.12 | 12.13.1.1 (12*83^3 + 13*83^2 + 83 + 1) | No |
These are the training products that have the "CREW" tag (processing sequence 3400). 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 |
|---|---|---|---|---|---|---|---|
| 25587 | Norgay: Grey | 6951085 | none | 13902170 | WARM SWEATER | ||
| 25586 | Norgay: Black | 6951085 | none | 13902170 | WARM SWEATER | ||
| 11240 | Tapestry | 571787 | ATHLETIC | 7522872 | none | ||
| 11357 | 4th Ave Tag | 571787 | ATHLETIC | 7522872 | none | ||
| 11239 | Tupac | 0 | ATHLETIC | 6951085 | none | ||
| 25598 | Balto: Navy/Red | -6951085 | BALTO, SWEATER | 0 | none | ||
| 25599 | Balto: Navy | -6951085 | BALTO, SWEATER | 0 | none | ||
| 25600 | Balto: Burgundy | -6951085 | BALTO, SWEATER | 0 | none | ||
| 25601 | Balto: Green | -6951085 | BALTO, SWEATER | 0 | none |