Fold 3 - Understanding why coefficient 14788 was selected
Tag: BOY BIRTHDAY
Selected Coefficient: 14788
Taxonomy Path: 14.12.2
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 14788 | 2.000000 | 14.12.2 | 2.12.14 (2*83^2 + 12*83 + 14) | Yes | |
| 0 | 3.000000 | 0 | 0 (0) | No | |
| 9754999 | 3.000000 | 9.2.5.17 | 17.5.2.9 (17*83^3 + 5*83^2 + 2*83 + 9) | Food, Beverages & Tobacco > Food Items > Cooking & Baking Ingredients > Edible Baking Decorations | No |
These are the training products that have the "BOY BIRTHDAY" tag (processing sequence 4742). 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 |
|---|---|---|---|---|---|---|---|
| 10538 | Dinosaur Shapes | 9754999 | Food, Beverages & Tobacco > Food Items > Cooking & Baking Ingredients > Edible Baking Decorations | none | 9740211 | DINOSAURS, CONFETTI | |
| 29508 | Happy Birthday Yard Signs | 14788 | none | 0 | none | ||
| 29521 | Honk Birthday Sign Blue | 14788 | none | 0 | none | ||
| 7134 | 1.5" Eiffel Tower Assortment | 0 | TYPE_ROYAL ICING | -14788 | FRENCH |