Fold 0 - Understanding why coefficient -409122663 was selected
Tag: SWIM
Selected Coefficient: -409122663
Taxonomy Path: -2.2.6.7.16
Taxonomy Name:
Products with this tag: 1
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| -409122663 | 0.000000 | -2.2.6.7.16 | -16.7.6.2.2 (-(16*71^4 + 7*71^3 + 6*71^2 + 2*71 + 2)) | Yes |
These are the training products that have the "SWIM" tag (processing sequence 1310). 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 |
|---|---|---|---|---|---|---|---|
| 1478 | Black Gumball Board Shorts | -409122663 | APPAREL, BOTTOMS, GAZZY BY GAZZO | 0 | none |