Fold 1 - Understanding why coefficient 43170 was selected
Tag: ARMLESS CHAIR
Selected Coefficient: 43170
Taxonomy Path: 10.22.6
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? |
|---|---|---|---|---|---|
| 43170 | 1.012048 | 10.22.6 | 6.22.10 (6*83^2 + 22*83 + 10) | Yes | |
| 634379 | 1.012048 | 10.7.9.1 | 1.9.7.10 (571787 + 9*83^2 + 7*83 + 10) | No | |
| 0 | 2.000000 | 0 | 0 (0) | No |
These are the training products that have the "ARMLESS CHAIR" tag (processing sequence 3487). 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 |
|---|---|---|---|---|---|---|---|
| 29230 | Lloyd Flanders Grand Traverse Armless Dining Chair | 634379 | none | 591209 | OUTDOOR DINING, MODERN DINING, GRAND TRAVERSE | ||
| 29266 | Lloyd Flanders Mesa Armless Sectional | 43170 | none | 0 | MESA | ||
| 29383 | Compamia Siesta Elizabeth Polycarbonate 2 Piece Dining Chair | 0 | ARMLESS DINING CHAIR | -43170 | OUTDOOR DINING |