Fold 0 - Understanding why coefficient 27732 was selected
Tag: HEADBOARD
Selected Coefficient: 27732
Taxonomy Path: 10.2.4
Taxonomy Name:
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? |
|---|---|---|---|---|---|
| 27732 | 2.000000 | 10.2.4 | 4.2.10 (4*83^2 + 2*83 + 10) | Yes | |
| -5704092 | 3.000000 | -0.0.81.9 | -9.81.0.0 (-(9*83^3 + 81*83^2)) | No | |
| 5759556 | 3.000000 | 20.4.6.10 | 10.6.4.20 (10*83^3 + 6*83^2 + 4*83 + 20) | No |
These are the training products that have the "HEADBOARD" tag (processing sequence 4767). 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 |
|---|---|---|---|---|---|---|---|
| 29147 | Sea Winds Trading Maui Queen Bed B533QBED | 5759556 | COASTAL BEDROOM | 5731824 | WICKER | ||
| 29146 | Sea Winds Trading Maui King Bed B533KBED | 27732 | COASTAL BEDROOM, KING BED | 0 | WICKER | ||
| 31311 | Headboard: Moderne Maru (King) | 27732 | none | 0 | none | ||
| 29205 | Sea Winds Trading Islamorada King Headboard B23341 | -5704092 | KING BED | -5731824 | none |