Fold 2 - 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: 6
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 | 4.036145 | 14.3.25 | 25.3.14 (25*83^2 + 3*83 + 14) | Yes | |
| 144731928 | 4.036146 | 14.11.10.4.3 | 3.4.10.11.14 (3*83^4 + 4*83^3 + 10*83^2 + 11*83 + 14) | No | |
| 431197215 | 4.036148 | 14.11.10.7.9 | 9.7.10.11.14 (9*83^4 + 7*83^3 + 10*83^2 + 11*83 + 14) | No | |
| -143373868 | 6.000290 | -0.0.62.1.3 | -3.1.62.0.0 (-(3*83^4 + 571787 + 62*83^2)) | No | |
| 0 | 6.000435 | 0 | 0 (0) | No | |
| 419133649 | 6.000435 | 0.0.2.69.8 | 8.69.2.0.0 (8*83^4 + 69*83^3 + 2*83^2) | No |
These are the training products that have the "TRAY" tag (processing sequence 4481). 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 | PLATTER | ||
| 29050 | Handled Mango Wood Trays | 419133649 | CHEESE BOARD | 418961161 | DINING | ||
| 18689 | Ceramic Dish- Butterfly | 144731928 | none | 144559440 | PLATTER | ||
| 18677 | Ceramic Dish- Camellia | 144731928 | none | 144559440 | PLATTER | ||
| 31328 | Honeycomb Lucite Tray | 172488 | none | 0 | none | ||
| 19369 | Inlay Tray - Medium Chevron | 172488 | none | 0 | none | ||
| 19370 | Inlay Tray - Small Chevron | 172488 | none | 0 | none | ||
| 29102 | Suar Wood Slanted Cheese Board | 0 | CHEESE BOARD | -172488 | DINING | ||
| 7896 | Rainbow Tray | -143373868 | FUSED GLASS | -143546356 | HORIZONTAL | ||
| 7894 | Neutral Tray | -143373868 | FUSED GLASS | -143546356 | HORIZONTAL |