Fold 0 - Understanding why coefficient 40755 was selected
Tag: 12TH ANNIVERSARY
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 40755 | 3.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| -2157193 | 4.014085 | -0.66.1.6 | -6.1.66.0 (-(6*71^3 + 5041 + 66*71)) | No | |
| 0 | 4.014085 | 0 | 0 (0) | No | |
| -2969648 | 5.000000 | -2.7.21.8 | -8.21.7.2 (-(8*71^3 + 21*71^2 + 7*71 + 2)) | No |
These are the training products that have the "12TH ANNIVERSARY" tag (processing sequence 254). 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 |
|---|---|---|---|---|---|---|---|
| 9041 | Citrine & Pearl - Charm Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9180 | Peridot & Pearl - Charm Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9453 | Ruby & Pearl - Charm Necklaces | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 8999 | Blue Lace Agate Stud Earrings | 0 | STUD EARRINGS | -40755 | CRYSTAL EARRINGS | ||
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | -2157193 | PEARL | -2197948 | 23RD ANNIVERSARY, SAPPHIRE | ||
| 9353 | Raw Green BC Jade Necklace - Antique Bronze and Gold | -2969648 | GOLD, ANTIQUE BRONZE, CRYSTAL NECKLACE, WOMEN | -3010403 | none |