Fold 3 - Understanding why coefficient 49756 was selected
Tag: FESTIVE
Selected Coefficient: 49756
Taxonomy Path: 65.76.7
Taxonomy Name:
Products with this tag: 4
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? |
|---|---|---|---|---|---|
| 49756 | 2.000160 | 65.76.7 | 7.76.65 (7*79^2 + 76*79 + 65) | Yes | |
| 1110726 | 2.000160 | 65.76.19.2 | 2.19.76.65 (2*79^3 + 19*79^2 + 76*79 + 65) | No | |
| 50403 | 3.000000 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 362229 | 3.000000 | 14.3.58 | 58.3.14 (58*79^2 + 3*79 + 14) | Home & Garden > Decor > Seasonal & Holiday Decorations | No |
These are the training products that have the "FESTIVE" tag (processing sequence 4327). 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 |
|---|---|---|---|---|---|---|---|
| 14473 | Leilani | 1110726 | __SHOW:PRICE | 1060970 | none | ||
| 506 | Out of this world Alien gather Wrapping Paper | 362229 | Home & Garden > Decor > Seasonal & Holiday Decorations | none | 312473 | none | |
| 259 | Golden Wreath Earrings | 50403 | Apparel & Accessories > Jewelry > Necklaces | EARRINGS, BRIOLETTE | 647 | none | |
| 14475 | Lily | 49756 | __SHOW:PRICE | 0 | none |