Fold 3 - Understanding why coefficient 178 was selected
Tag: INCENSE
Selected Coefficient: 178
Taxonomy Path: 20.2
Taxonomy Name: Religious & Ceremonial > Religious Items
Products with this tag: 3
Unique residual values tried: 2
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? |
|---|---|---|---|---|---|
| 178 | 1.000000 | 20.2 | 2.20 (2*79 + 20) | Religious & Ceremonial > Religious Items | Yes |
| -1591357 | 2.000000 | -60.77.17.3 | -3.17.77.60 (-(3*79^3 + 17*79^2 + 77*79 + 60)) | No |
These are the training products that have the "INCENSE" tag (processing sequence 1737). 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 |
|---|---|---|---|---|---|---|---|
| 204 | White Sage & Lavender Incense | 178 | Religious & Ceremonial > Religious Items | none | 0 | none | |
| 1080 | Money Drawing | 178 | Religious & Ceremonial > Religious Items | none | 0 | none | |
| 915 | Cast Iron Burner Cauldron with wooden handle | -1591357 | CHARCOAL | -1591535 | SAGE |