Fold 3 - Understanding why coefficient -409107468 was selected
Tag: SWIM
Selected Coefficient: -409107468
Taxonomy Path: -1.1.3.7.16
Taxonomy Name:
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| -409107468 | 0.000198 | -1.1.3.7.16 | -16.7.3.1.1 (-(16*71^4 + 7*71^3 + 3*71^2 + 71 + 1)) | Yes | |
| 2389362 | 0.000198 | 70.69.47.6 | 6.47.69.70 (6*71^3 + 47*71^2 + 69*71 + 70) | No |
These are the training products that have the "SWIM" tag (processing sequence 2211). 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 |
|---|---|---|---|---|---|---|---|
| 1059 | Showpony | 2389362 | BLACK, TAN, BEACH, ITALIAN | 411496830 | none | ||
| 1478 | Black Gumball Board Shorts | -409107468 | BOTTOMS, GAZZY BY GAZZO, PANTS | 0 | none |