Fold 2 - Understanding why coefficient 156276 was selected
Tag: TRAY
Selected Coefficient: 156276
Taxonomy Path: 14.3.25
Taxonomy Name: Home & Garden > Decor > Decorative Trays
Products with this tag: 5
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? |
|---|---|---|---|---|---|
| 156276 | 1.025316 | 14.3.25 | 25.3.14 (25*79^2 + 3*79 + 14) | Home & Garden > Decor > Decorative Trays | Yes |
| 118885692 | 1.025318 | 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 | No |
| 354065295 | 1.025318 | 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 |
| -117711662 | 4.000000 | -3.2.59.1.3 | -3.1.59.2.3 (-(3*79^4 + 493039 + 59*79^2 + 2*79 + 3)) | No |
These are the training products that have the "TRAY" tag (processing sequence 2737). 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 | 353909019 | PARTY | |
| 18677 | Ceramic Dish- Camellia | 118885692 | Home & Garden > Kitchen & Dining > Tableware > Dinnerware > Plates | none | 118729416 | PARTY | |
| 19369 | Inlay Tray - Medium Chevron | 156276 | Home & Garden > Decor > Decorative Trays | none | 0 | none | |
| 19370 | Inlay Tray - Small Chevron | 156276 | Home & Garden > Decor > Decorative Trays | none | 0 | none | |
| 7896 | Rainbow Tray | -117711662 | FUSED GLASS, HORIZONTAL | -117867938 | none |