Fold 3 - Understanding why coefficient 27657 was selected
Tag: GARDENING
Selected Coefficient: 27657
Taxonomy Path: 18.1.4
Taxonomy Name:
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 27657 | 2.000000 | 18.1.4 | 4.1.18 (4*83^2 + 83 + 18) | Yes | |
| 2866834 | 3.000002 | 14.12.1.5 | 5.1.12.14 (5*83^3 + 6889 + 12*83 + 14) | No | |
| 431135297 | 3.000002 | 14.12.1.7.9 | 9.7.1.12.14 (9*83^4 + 7*83^3 + 6889 + 12*83 + 14) | No |
These are the training products that have the "GARDENING" tag (processing sequence 4020). 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 |
|---|---|---|---|---|---|---|---|
| 28238 | TopGraft - The Gardener's Grafter | 431135297 | none | 431107640 | RR_TRACK_HOUSEHOLD, TOOLS | ||
| 29458 | Urban Insect Nester | 2866834 | none | 2839177 | TOOLS | ||
| 29603 | Mixed Set of 6 Bookmarks | 27657 | none | 0 | none | ||
| 29604 | Bumblebee on Lavender Bookmark | 27657 | none | 0 | none | ||
| 29608 | Gardeners' Friend Robin Bookmark | 27657 | none | 0 | none |