Fold 3 - Understanding why coefficient 256 was selected
Tag: RECYCLED METAL
Selected Coefficient: 256
Taxonomy Path: 7.3
Taxonomy Name:
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 256 | 2.000000 | 7.3 | 3.7 (3*83 + 7) | Yes | |
| 167 | 4.000145 | 1.2 | 2.1 (2*83 + 1) | No | |
| 186170 | 4.000145 | 1.2.27 | 27.2.1 (27*83^2 + 2*83 + 1) | No |
These are the training products that have the "RECYCLED METAL" tag (processing sequence 3471). 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 |
|---|---|---|---|---|---|---|---|
| 32743 | Nassau | 186170 | none | 185914 | none | ||
| 32726 | Portofino | 256 | none | 0 | none | ||
| 32741 | Aspen | 256 | none | 0 | none | ||
| 32742 | Belize | 256 | none | 0 | none | ||
| 32744 | Cebu | 256 | none | 0 | none | ||
| 32725 | Maya | 167 | none | -89 | none |