Fold 0 - Understanding why coefficient 7058 was selected
Tag: MONTANA SIGN
Selected Coefficient: 7058
Taxonomy Path: 3.2.1
Taxonomy Name:
Products with this tag: 8
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? |
|---|---|---|---|---|---|
| 7058 | 3.012048 | 3.2.1 | 1.2.3 (6889 + 2*83 + 3) | Yes | |
| 3 | 3.048193 | 3 | 3 (3) | No | |
| 143546356 | 5.000145 | 14.3.4.2.3 | 3.2.4.3.14 (3*83^4 + 2*83^3 + 4*83^2 + 3*83 + 14) | No | |
| 158710 | 5.000290 | 14.3.23 | 23.3.14 (23*83^2 + 3*83 + 14) | No |
These are the training products that have the "MONTANA SIGN" tag (processing sequence 4514). 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 |
|---|---|---|---|---|---|---|---|
| 25384 | Huckleberry Haven on Wood Wall Art | 143546356 | none | 143539298 | none | ||
| 25376 | Yellowstone Falls Wall Art | 143546356 | none | 143539298 | none | ||
| 25382 | Spring Beauty Box Art | 158710 | none | 151652 | none | ||
| 25383 | Huckleberry Haven Box Art | 7058 | none | 0 | none | ||
| 25380 | Spring Beauty - Wood | 7058 | none | 0 | none | ||
| 25378 | Dear 'Ol Dad On Wood | 7058 | none | 0 | none | ||
| 25379 | Dear 'Ol Dad Box Art | 7058 | none | 0 | none | ||
| 25374 | Bisons in Yellowstone Wall Art | 3 | none | -7055 | none |