Fold 1 - 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: 5
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 | 2.025316 | 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 | |
| 6029346 | 2.063291 | 66.6.18.12 | 12.18.6.66 (12*79^3 + 18*79^2 + 6*79 + 66) | No | |
| -929830 | 7.000000 | -0.78.69.1 | -1.69.78.0 (-(493039 + 69*79^2 + 78*79)) | No | |
| -67875 | 7.000000 | -14.69.10 | -10.69.14 (-(10*79^2 + 69*79 + 14)) | No |
These are the training products that have the "CHAMPAGNE" tag (processing sequence 959). 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 |
|---|---|---|---|---|---|---|---|
| 9187 | Place Coluche | 6147609 | METAL, ROUND | 0 | none | ||
| 9211 | Léna | 6147609 | METAL, ROUND | 0 | none | ||
| 9184 | Place de la Madeleine | 6147609 | METAL, ROUND | 0 | none | ||
| 9185 | Place de l'Opéra | 6147609 | METAL, ROUND | 0 | none | ||
| 9186 | Auber | 6029346 | METAL, ROUND, 22K | -118263 | none | ||
| 9168 | Place Blanche | 219054 | METAL | -5928555 | none | ||
| 9190 | Cométe | -67875 | METAL, 22K, CAT-EYE | -6215484 | none | ||
| 9164 | ReFramed Léna | -929830 | ORANGE | -7077439 | CUSTOM LENSES, REFRAMED |