Fold 4 - Understanding why coefficient 81414728 was selected
Tag: 9X12
Selected Coefficient: 81414728
Taxonomy Path: 14.11.10.7.2
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Serveware > Cake Boards
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| 81414728 | 0.000160 | 14.11.10.7.2 | 2.7.10.11.14 (2*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Cake Boards | Yes |
| 354065295 | 0.000160 | 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 |
| 10404630 | 0.000320 | 14.11.8.21 | 21.8.11.14 (21*79^3 + 8*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Cutting Boards | No |
These are the training products that have the "9X12" tag (processing sequence 4063). 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 |
|---|---|---|---|---|---|---|---|
| 19646 | CB-9X12-BLACK | 354065295 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Trays | none | 272650567 | none | |
| 19697 | CB-9x12-Turq | 81414728 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Cake Boards | none | 0 | none | |
| 19694 | CB-8X12-GREEN | 10404630 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Cutting Boards | none | -71010098 | none |