Fold 0 - Understanding why coefficient 2009200 was selected
Tag: DOGS
Selected Coefficient: 2009200
Taxonomy Path: 72.73.5.4
Taxonomy Name:
Products with this tag: 2
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? |
|---|---|---|---|---|---|
| 2009200 | 1.000000 | 72.73.5.4 | 4.5.73.72 (4*79^3 + 5*79^2 + 73*79 + 72) | Yes | |
| 12325660 | 1.000000 | 1.75.78.24 | 24.78.75.1 (24*79^3 + 78*79^2 + 75*79 + 1) | No |
These are the training products that have the "DOGS" tag (processing sequence 1230). 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 | 12325660 | COLOR_BLACK, DOG TAG | 10316460 | none | ||
| 7505 | 1" Puppy - Assorted | 2009200 | COLORFUL, COLOR_ASSORTED, DOG TAG | 0 | none |