Fold 2 - Understanding why coefficient 43170 was selected
Tag: ARMLESS CHAIR
Selected Coefficient: 43170
Taxonomy Path: 10.22.6
Taxonomy Name:
Products with this tag: 4
Unique residual values tried: 4
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 | 2.012048 | 10.22.6 | 6.22.10 (6*83^2 + 22*83 + 10) | Yes | |
| 579267 | 2.012048 | 10.7.1.1 | 1.1.7.10 (571787 + 6889 + 7*83 + 10) | No | |
| -1173132 | 3.000000 | -10.24.4.2 | -2.4.24.10 (-(2*83^3 + 4*83^2 + 24*83 + 10)) | No | |
| -538753 | 3.000000 | -0.17.78 | -78.17.0 (-(78*83^2 + 17*83)) | No |
These are the training products that have the "ARMLESS CHAIR" tag (processing sequence 4678). 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 |
|---|---|---|---|---|---|---|---|
| 29306 | Forever Patio Barbados Wicker Sectional Middle Chair | 579267 | none | 536097 | BARBADOS | ||
| 29266 | Lloyd Flanders Mesa Armless Sectional | 43170 | none | 0 | none | ||
| 29230 | Lloyd Flanders Grand Traverse Armless Dining Chair | -538753 | MODERN DINING | -581923 | none | ||
| 29216 | Lloyd Flanders Mackinac Armless Dining Chair | -1173132 | ARMLESS DINING CHAIR, MODERN DINING | -1216302 | MACKINAC |