Fold 1 - Understanding why coefficient 118885692 was selected
Tag: TRAY
Selected Coefficient: 118885692
Taxonomy Path: 14.11.10.4.3
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Dinnerware > Plates
Products with this tag: 7
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? |
|---|---|---|---|---|---|
| 118885692 | 4.000002 | 14.11.10.4.3 | 3.4.10.11.14 (3*79^4 + 4*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Dinnerware > Plates | Yes |
| 354065295 | 4.000004 | 14.11.10.7.9 | 9.7.10.11.14 (9*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | No |
| -117861536 | 5.000000 | -14.3.4.2.3 | -3.2.4.3.14 (-(3*79^4 + 2*79^3 + 4*79^2 + 3*79 + 14)) | No | |
| 0 | 5.000000 | 0 | 0 (0) | No |
These are the training products that have the "TRAY" tag (processing sequence 2790). 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 | 354065295 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | none | 235179603 | none | |
| 18677 | Ceramic Dish- Camellia | 118885692 | Home & Garden > Kitchen & Dining > Tableware > Dinnerware > Plates | none | 0 | none | |
| 18689 | Ceramic Dish- Butterfly | 118885692 | Home & Garden > Kitchen & Dining > Tableware > Dinnerware > Plates | none | 0 | none | |
| 19370 | Inlay Tray - Small Chevron | 0 | INLAY | -118885692 | none | ||
| 19369 | Inlay Tray - Medium Chevron | 0 | INLAY | -118885692 | none | ||
| 7894 | Neutral Tray | -117861536 | HORIZONTAL, FUSED GLASS | -236747228 | none | ||
| 7896 | Rainbow Tray | -117861536 | HORIZONTAL, FUSED GLASS | -236747228 | none |