Fold 3 - Understanding why coefficient 461826 was selected
Tag: TABLEWARES
Selected Coefficient: 461826
Taxonomy Path: 14.3.67
Taxonomy Name: Home & Garden > Decor > Vases
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? |
|---|---|---|---|---|---|
| 461826 | 0.024096 | 14.3.67 | 67.3.14 (67*83^2 + 3*83 + 14) | Home & Garden > Decor > Vases | Yes |
| 7816 | 0.024242 | 14.11.1 | 1.11.14 (6889 + 11*83 + 14) | No | |
| 97845394 | 0.024242 | 14.11.10.5.2 | 2.5.10.11.14 (2*83^4 + 5*83^3 + 10*83^2 + 11*83 + 14) | No |
These are the training products that have the "TABLEWARES" tag (processing sequence 4930). 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 |
|---|---|---|---|---|---|---|---|
| 1489 | BUBBLE CUP SET - MILKY WHITE | 97845394 | none | 97383568 | none | ||
| 1468 | BUB BUD VASE | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 1480 | BRICK PHONE VASE - PINK | 461826 | Home & Garden > Decor > Vases | none | 0 | none | |
| 1495 | BUBBLY SHOT GLASSES - AMBER | 7816 | none | -454010 | none |