Fold 0 - Understanding why coefficient 27731 was selected
Tag: ARTISAN VINEGAR
Selected Coefficient: 27731
Taxonomy Path: 9.2.4
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? |
|---|---|---|---|---|---|
| 27731 | 2.000002 | 9.2.4 | 4.2.9 (4*83^2 + 2*83 + 9) | Yes | |
| 10319897 | 2.000005 | 9.2.4.18 | 18.4.2.9 (18*83^3 + 4*83^2 + 2*83 + 9) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "ARTISAN VINEGAR" tag (processing sequence 4553). 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 |
|---|---|---|---|---|---|---|---|
| 7897 | Mauzac 'Vin de Voile' Vinegar | 10319897 | none | 10292166 | none | ||
| 7885 | White Pineau des Charentes Vinegar | 27731 | none | 0 | none | ||
| 7899 | Sugarcane Vinegar | 27731 | none | 0 | none | ||
| 28182 | Txakoli Vinegar | 27731 | none | 0 | none | ||
| 7846 | Chenin Vinegar | 0 | LA GUINELLE | -27731 | none | ||
| 7886 | Rosé Pineau des Charentes Vinegar | 0 | FRENCH VINEGAR | -27731 | none |