Fold 4 - Understanding why coefficient 4966881 was selected
Tag: DOGS
Selected Coefficient: 4966881
Taxonomy Path: 72.66.5.10
Taxonomy Name:
Products with this tag: 3
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? |
|---|---|---|---|---|---|
| 4966881 | 2.000000 | 72.66.5.10 | 10.5.66.72 (10*79^3 + 5*79^2 + 66*79 + 72) | Yes | |
| 18323341 | 2.000000 | 2.76.12.37 | 37.12.76.2 (37*79^3 + 12*79^2 + 76*79 + 2) | No | |
| 86475232 | 2.000000 | 15.78.30.17.2 | 2.17.30.78.15 (2*79^4 + 17*79^3 + 30*79^2 + 78*79 + 15) | No |
These are the training products that have the "DOGS" tag (processing sequence 1231). 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 |
|---|---|---|---|---|---|---|---|
| 8152 | Winter (3 Pets) - Custom Pet Canvas | 86475232 | CANVAS, CATS | 81508351 | FEMALE | ||
| 7506 | 1.5" 'Fetch' Bone | 18323341 | ANIMAL, COLOR_BLACK, DOG TAG | 13356460 | none | ||
| 7505 | 1" Puppy - Assorted | 4966881 | ANIMAL, COLORFUL, COLOR_ASSORTED, DOG TAG | 0 | none |