Fold 1 - Understanding why coefficient 20315 was selected
Tag: ARTISAN VINEGAR
Selected Coefficient: 20315
Taxonomy Path: 9.2.4
Taxonomy Name: Food, Beverages & Tobacco > Food Items > Condiments & Sauces
Products with this tag: 4
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 20315 | 0.000006 | 9.2.4 | 4.2.9 (4*71^2 + 2*71 + 9) | Food, Beverages & Tobacco > Food Items > Condiments & Sauces | Yes |
| 6462713 | 0.000006 | 9.2.4.18 | 18.4.2.9 (18*71^3 + 4*71^2 + 2*71 + 9) | Food, Beverages & Tobacco > Food Items > Condiments & Sauces > Salad Dressing | No |
These are the training products that have the "ARTISAN VINEGAR" tag (processing sequence 453). 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 |
|---|---|---|---|---|---|---|---|
| 7846 | Chenin Vinegar | 6462713 | Food, Beverages & Tobacco > Food Items > Condiments & Sauces > Salad Dressing | none | 6442398 | none | |
| 7847 | Vin Jaune Vinegar | 6462713 | Food, Beverages & Tobacco > Food Items > Condiments & Sauces > Salad Dressing | none | 6442398 | none | |
| 7885 | White Pineau des Charentes Vinegar | 20315 | Food, Beverages & Tobacco > Food Items > Condiments & Sauces | none | 0 | none | |
| 7899 | Sugarcane Vinegar | 20315 | Food, Beverages & Tobacco > Food Items > Condiments & Sauces | none | 0 | none |