Fold 4 - Understanding why coefficient 27731 was selected
Tag: GREAT TASTE WINNER
Selected Coefficient: 27731
Taxonomy Path: 9.2.4
Taxonomy Name:
Products with this tag: 5
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 | 2.000290 | 9.2.4 | 4.2.9 (4*83^2 + 2*83 + 9) | Yes | |
| 3479120 | 2.000290 | 9.2.7.6 | 6.7.2.9 (6*83^3 + 7*83^2 + 2*83 + 9) | No | |
| 49256525 | 2.000290 | 9.2.12.3.1 | 1.3.12.2.9 (47458321 + 3*83^3 + 12*83^2 + 2*83 + 9) | No | |
| 0 | 3.000000 | 0 | 0 (0) | No |
These are the training products that have the "GREAT TASTE WINNER" tag (processing sequence 5628). 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 |
|---|---|---|---|---|---|---|---|
| 28173 | 'Premium Edition' Anchovies in Olive Oil | 49256525 | none | 49228794 | GREAT TASTE AWARD WINNERS | ||
| 7888 | Organic Fig Marmalade | 3479120 | none | 3451389 | GREAT TASTE AWARD WINNERS | ||
| 7875 | Apple Cider Vinegar with 'Mother' | 27731 | none | 0 | GREAT TASTE AWARD WINNERS | ||
| 7874 | Fleur de Sel | 0 | PANTRY STAPLE | -27731 | GREAT TASTE AWARD WINNERS | ||
| 7885 | White Pineau des Charentes Vinegar | 0 | ARTISAN VINEGAR | -27731 | GREAT TASTE AWARD WINNERS |