Fold 0 - Understanding why coefficient 40755 was selected
Tag: BACKING MATERIAL 0925 STERLING SILVER
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 5
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 |
| -2969648 | 4.000000 | -2.7.21.8 | -8.21.7.2 (-(8*71^3 + 21*71^2 + 7*71 + 2)) | No | |
| -2928893 | 4.000000 | -1.1.13.8 | -8.13.1.1 (-(8*71^3 + 13*71^2 + 71 + 1)) | No | |
| 0 | 4.000000 | 0 | 0 (0) | No |
These are the training products that have the "BACKING MATERIAL 0925 STERLING SILVER" tag (processing sequence 696). 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 |
|---|---|---|---|---|---|---|---|
| 9011 | Blue Topaz Pendant - Sterling Silver | 40755 | Apparel & Accessories > Jewelry > Necklaces | PENDANT NECKLACE, 19TH ANNIVERSARY | 0 | LIGHT BLUE | |
| 9520 | Raw Ruby Necklace in Sterling Silver | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9417 | Raw Sapphire Necklace - Sterling Silver | 0 | 23RD ANNIVERSARY | -40755 | DARK BLUE CRYSTAL | ||
| 9354 | Labradorite Stud Earrings | -2928893 | STUD EARRINGS, WOMEN | -2969648 | CRYSTAL EARRINGS, JAM'S EDITS | ||
| 9367 | Iolite Sapphire Stud Earrings | -2969648 | STUD EARRINGS, WOMEN, 23RD ANNIVERSARY | -3010403 | DARK BLUE CRYSTAL, JAM'S EDITS |