Fold 1 - Understanding why coefficient 4663937 was selected
Tag: FOURTH OF JULY
Selected Coefficient: 4663937
Taxonomy Path: 1.1.13.8
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 4663937 | 1.000002 | 1.1.13.8 | 8.13.1.1 (8*83^3 + 13*83^2 + 83 + 1) | Yes | |
| 5235724 | 1.000002 | 1.1.13.9 | 9.13.1.1 (9*83^3 + 13*83^2 + 83 + 1) | No | |
| -613289 | 2.000000 | -2.2.6.1 | -1.6.2.2 (-(571787 + 6*83^2 + 2*83 + 2)) | No |
These are the training products that have the "FOURTH OF JULY" tag (processing sequence 6217). 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 |
|---|---|---|---|---|---|---|---|
| 32282 | Petty Vibes tank | 5235724 | none | 571787 | none | ||
| 32289 | Freedom tee | 4663937 | none | 0 | none | ||
| 22160 | We Salute Dog Bandana | -613289 | PATRIOTIC, DOG BANDANA | -5277226 | none |