Fold 0 - Understanding why coefficient 80428650 was selected
Tag: TABLEWARES
Selected Coefficient: 80428650
Taxonomy Path: 14.11.10.5.2
Taxonomy Name: Home & Garden > Kitchen & Dining > Tableware > Drinkware > Coffee & Tea Cups
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? |
|---|---|---|---|---|---|
| 80428650 | 0.038137 | 14.11.10.5.2 | 2.5.10.11.14 (2*79^4 + 5*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Coffee & Tea Cups | Yes |
| 3514566 | 0.038139 | 14.11.10.7 | 7.10.11.14 (7*79^3 + 10*79^2 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Tableware > Serveware | No |
| 7124 | 0.038455 | 14.11.1 | 1.11.14 (6241 + 11*79 + 14) | Home & Garden > Kitchen & Dining > Barware | No |
| 418398 | 0.050633 | 14.3.67 | 67.3.14 (67*79^2 + 3*79 + 14) | Home & Garden > Decor > Vases | No |
These are the training products that have the "TABLEWARES" tag (processing sequence 3548). 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 |
|---|---|---|---|---|---|---|---|
| 1488 | BUBBLE CUP SET - LILAC | 80428650 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Coffee & Tea Cups | none | 0 | none | |
| 1489 | BUBBLE CUP SET - MILKY WHITE | 80428650 | Home & Garden > Kitchen & Dining > Tableware > Drinkware > Coffee & Tea Cups | none | 0 | none | |
| 1469 | BASKET BOWL | 3514566 | Home & Garden > Kitchen & Dining > Tableware > Serveware | none | -76914084 | none | |
| 1481 | BRICK PHONE VASE - SAND | 418398 | Home & Garden > Decor > Vases | none | -80010252 | none | |
| 1480 | BRICK PHONE VASE - PINK | 418398 | Home & Garden > Decor > Vases | none | -80010252 | none | |
| 1468 | BUB BUD VASE | 418398 | Home & Garden > Decor > Vases | none | -80010252 | none | |
| 1495 | BUBBLY SHOT GLASSES - AMBER | 7124 | Home & Garden > Kitchen & Dining > Barware | none | -80421526 | none |