Fold 2 - 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 | |
| 12306937 | 2.000000 | 1.75.75.24 | 24.75.75.1 (24*79^3 + 75*79^2 + 75*79 + 1) | No | |
| 78886016 | 2.000000 | 13.76.78.1.2 | 2.1.78.76.13 (2*79^4 + 493039 + 78*79^2 + 76*79 + 13) | No |
These are the training products that have the "DOGS" tag (processing sequence 1224). 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 | 78886016 | CATS | 82893220 | FEMALE | ||
| 7506 | 1.5" 'Fetch' Bone | 12306937 | COLOR_BLACK, DOG TAG | 16314141 | none | ||
| 7505 | 1" Puppy - Assorted | -4007204 | COLOR_ASSORTED, DOG TAG | 0 | none |