Fold 0 - Understanding why coefficient 6147609 was selected
Tag: CHAMPAGNE
Selected Coefficient: 6147609
Taxonomy Path: 66.2.37.12
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? |
|---|---|---|---|---|---|
| 6147609 | 2.012658 | 66.2.37.12 | 12.37.2.66 (12*79^3 + 37*79^2 + 2*79 + 66) | Yes | |
| 219054 | 2.063291 | 66.7.35 | 35.7.66 (35*79^2 + 7*79 + 66) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| 50388 | 7.000000 | 65.5.8 | 8.5.65 (8*79^2 + 5*79 + 65) | No |
These are the training products that have the "CHAMPAGNE" tag (processing sequence 964). 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 |
|---|---|---|---|---|---|---|---|
| 9211 | Léna | 6147609 | METAL, ROUND | 0 | none | ||
| 9186 | Auber | 6147609 | METAL, ROUND | 0 | none | ||
| 9187 | Place Coluche | 6147609 | METAL, ROUND | 0 | none | ||
| 9210 | Place Dauphine | 6147609 | METAL, ROUND | 0 | none | ||
| 9184 | Place de la Madeleine | 6147609 | METAL, ROUND | 0 | none | ||
| 9168 | Place Blanche | 219054 | METAL | -5928555 | none | ||
| 9190 | Cométe | 50388 | METAL, CAT-EYE | -6097221 | none | ||
| 979 | Fire & Ice (Champagne) | 0 | NECKLACE | -6147609 | none |