Fold 3 - Understanding why coefficient -621918421 was selected
Tag: NEW ORLEANS
Selected Coefficient: -621918421
Taxonomy Path: -2.2.56.8.13
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| -621918421 | 3.000000 | -2.2.56.8.13 | -13.8.56.2.2 (-(13*83^4 + 8*83^3 + 56*83^2 + 2*83 + 2)) | Yes | |
| -7058 | 3.000000 | -3.2.1 | -1.2.3 (-(6889 + 2*83 + 3)) | No | |
| -6889 | 3.000000 | -0.0.1 | -1.0.0 (-(6889)) | No | |
| 7058 | 3.000000 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | No |
These are the training products that have the "NEW ORLEANS" tag (processing sequence 6733). 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 |
|---|---|---|---|---|---|---|---|
| 24503 | The Greatest Show On Earth | 7058 | none | 621925479 | none | ||
| 27228 | Greatest Hits | Cash Money Records | -6889 | HIP HOP | 621911532 | none | ||
| 18649 | Cartoon Kitty Cat Wall Art | -7058 | MASK, FRENCH, POTTERY | 621911363 | FACE | ||
| 18654 | Rooster Wall Mask- Gaston | -621918421 | MASK, POTTERY | 0 | FACE |