Fold 3 - Understanding why coefficient 315115214 was selected
Tag: 12W
Selected Coefficient: 315115214
Taxonomy Path: 14.11.10.7.8
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters
Products with this tag: 12
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? |
|---|---|---|---|---|---|
| 315115214 | 0.000803 | 14.11.10.7.8 | 8.7.10.11.14 (8*79^4 + 7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters | Yes |
| 81414728 | 0.000803 | 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 | No |
| 4007605 | 0.000813 | 14.11.10.8 | 8.10.11.14 (8*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware Accessories | No |
| 10404630 | 0.001122 | 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 "12W" tag (processing sequence 3595). 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 |
|---|---|---|---|---|---|---|---|
| 19816 | CB-12X16-GREEN | 315115214 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters | none | 0 | none | |
| 19804 | CB-12X16-BLUE | 315115214 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters | none | 0 | none | |
| 19805 | CB-12X16-BLUE | 315115214 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters | none | 0 | none | |
| 19806 | CB-12X16-BLUE | 315115214 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Serving Platters | none | 0 | none | |
| 19771 | CB-12X16-BLUE | 81414728 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Cake Boards | none | -233700486 | none | |
| 19669 | CB-12X16-GREEN | 81414728 | Home & Garden > Kitchen & Dining > Tableware > Serveware > Cake Boards | none | -233700486 | none | |
| 19815 | CB-12X16-TURQ (Premium) | 10404630 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Cutting Boards | none | -304710584 | none | |
| 19776 | 16" x 20" Spalted Maple Wood & Grey Epoxy Resin Charcuterie Board | 10404630 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Cutting Boards | none | -304710584 | none | |
| 19803 | CB-12X16-BLUE | 10404630 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Cutting Boards | none | -304710584 | none | |
| 19802 | CB-12X16-BLUE | 10404630 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Cutting Boards | none | -304710584 | none | |
| 19775 | 16" x 20" Spalted Maple Wood & Grey Epoxy Resin Charcuterie Board | 10404630 | Home & Garden > Kitchen & Dining > Kitchen Tools & Utensils > Cutting Boards | none | -304710584 | none | |
| 19811 | CB-12X16-COPPE | 4007605 | Home & Garden > Kitchen & Dining > Tableware > Serveware Accessories | none | -311107609 | COPPER |