Fold 3 - Understanding why coefficient 27731 was selected
Tag: ARTISAN VINEGAR
Selected Coefficient: 27731
Taxonomy Path: 9.2.4
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 27731 | 3.000003 | 9.2.4 | 4.2.9 (4*83^2 + 2*83 + 9) | Yes | |
| 10319897 | 3.000005 | 9.2.4.18 | 18.4.2.9 (18*83^3 + 4*83^2 + 2*83 + 9) | No | |
| 0 | 6.000000 | 0 | 0 (0) | No | |
| -2397547 | 7.000000 | -9.2.16.4 | -4.16.2.9 (-(4*83^3 + 16*83^2 + 2*83 + 9)) | No |
These are the training products that have the "ARTISAN VINEGAR" tag (processing sequence 3830). 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 |
|---|---|---|---|---|---|---|---|
| 7847 | Vin Jaune Vinegar | 10319897 | none | 10292166 | none | ||
| 7897 | Mauzac 'Vin de Voile' Vinegar | 10319897 | none | 10292166 | none | ||
| 28182 | Txakoli Vinegar | 27731 | none | 0 | none | ||
| 7848 | Elderflower Vinegar | 27731 | none | 0 | none | ||
| 7899 | Sugarcane Vinegar | 27731 | none | 0 | none | ||
| 7846 | Chenin Vinegar | 0 | LA GUINELLE | -27731 | none | ||
| 28180 | Zaza Rosé Wine Vinegar | 0 | FRENCH VINEGAR | -27731 | none | ||
| 7886 | Rosé Pineau des Charentes Vinegar | -2397547 | FRENCH VINEGAR, GREAT TASTE AWARDS 2018 | -2425278 | none |