Fold 0 - Understanding why coefficient 172488 was selected
Tag: TRAY
Selected Coefficient: 172488
Taxonomy Path: 14.3.25
Taxonomy Name:
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| 172488 | 4.024096 | 14.3.25 | 25.3.14 (25*83^2 + 3*83 + 14) | Yes | |
| 144731928 | 4.048195 | 14.11.10.4.3 | 3.4.10.11.14 (3*83^4 + 4*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 431197215 | 4.048195 | 14.11.10.7.9 | 9.7.10.11.14 (9*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 0 | 7.000000 | 0 | 0 (0) | No | |
| 430024083 | 9.000000 | 4.70.5.5.9 | 9.5.5.70.4 (9*83^4 + 5*83^3 + 5*83^2 + 70*83 + 4) | No |
These are the training products that have the "TRAY" tag (processing sequence 3277). 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 |
|---|---|---|---|---|---|---|---|
| 18671 | Ceramic Dish- Cardinal | 431197215 | none | 431024727 | PURSE, PLATTER | ||
| 29050 | Handled Mango Wood Trays | 430024083 | DINING | 429851595 | ENTERTAINING | ||
| 18677 | Ceramic Dish- Camellia | 144731928 | none | 144559440 | PURSE, PLATTER | ||
| 19370 | Inlay Tray - Small Chevron | 172488 | none | 0 | none | ||
| 7894 | Neutral Tray | 172488 | none | 0 | ORIGINAL ART, FUSED GLASS, HORIZONTAL | ||
| 7896 | Rainbow Tray | 172488 | none | 0 | ORIGINAL ART, FUSED GLASS, HORIZONTAL | ||
| 19369 | Inlay Tray - Medium Chevron | 172488 | none | 0 | none | ||
| 31318 | Greta Lucite Tray | 0 | FALL NEUTRALS | -172488 | SANDAL, ENTERTAINER | ||
| 31328 | Honeycomb Lucite Tray | 0 | FALL NEUTRALS | -172488 | ENTERTAINER | ||
| 31335 | Strata Lucite Tray | 0 | FALL NEUTRALS | -172488 | none |