Fold 3 - Understanding why coefficient -4007204 was selected
Tag: DOGS
Selected Coefficient: -4007204
Taxonomy Path: -8.6.10.8
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? |
|---|---|---|---|---|---|
| -4007204 | 2.000000 | -8.6.10.8 | -8.10.6.8 (-(8*79^3 + 10*79^2 + 6*79 + 8)) | Yes | |
| 90925459 | 2.000000 | 14.4.33.26.2 | 2.26.33.4.14 (2*79^4 + 26*79^3 + 33*79^2 + 4*79 + 14) | No | |
| 121349849 | 2.000000 | 3.77.9.9.3 | 3.9.9.77.3 (3*79^4 + 9*79^3 + 9*79^2 + 77*79 + 3) | No |
These are the training products that have the "DOGS" tag (processing sequence 1229). 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 |
|---|---|---|---|---|---|---|---|
| 7506 | 1.5" 'Fetch' Bone | 121349849 | COLOR_BLACK, DOG TAG | 125357053 | none | ||
| 8152 | Winter (3 Pets) - Custom Pet Canvas | 90925459 | CANVAS | 94932663 | none | ||
| 7505 | 1" Puppy - Assorted | -4007204 | COLOR_ASSORTED, DOG TAG | 0 | none |