Fold 3 - Understanding why coefficient 45796 was selected
Tag: NOAH JEWELRIES
Selected Coefficient: 45796
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 15
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? |
|---|---|---|---|---|---|
| 45796 | 6.000198 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 40755 | 6.001587 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| 0 | 9.000198 | 0 | 0 (0) | No | |
| 5041 | 9.000992 | 0.0.1 | 1.0.0 (5041) | No |
These are the training products that have the "NOAH JEWELRIES" tag (processing sequence 1761). 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 |
|---|---|---|---|---|---|---|---|
| 9231 | Flat Band Triangles Ring 925 Sterling Silver | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9174 | Vibrant Flame Ring | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9252 | Sleeping Beauty "Mountain" Ring in 925 Sterling Silver (Size 7) | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9220 | Native American Zia™ Statement Ring | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9242 | The American Native™ Ring 925 Sterling Silver | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9240 | Wild Paw Sterling Silver Ring | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9239 | 6 Stones Tribal Ring in 925 Sterling Silver | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9232 | Wolf Paw Extinction Ring | 45796 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9169 | Original Sleeping Beauty Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | -5041 | none | |
| 9229 | Rounded Band Rainbow Triangles Pride Ring 925 Sterling Silver | 5041 | RAINBOW | -40755 | none | ||
| 9228 | Rounded Wide Band Triangles Ring 925 Sterling Silver | 0 | BEDDING-GIVEAWAY | -45796 | none | ||
| 9222 | Native American Arrowhead Ring 925 Sterling Silver | 0 | BEDDING-GIVEAWAY | -45796 | none | ||
| 9241 | Native American Zia™ Ring | 0 | BEDDING-GIVEAWAY | -45796 | none | ||
| 9221 | Leader of The Pack Wolves Ring 925 Sterling Silver | 0 | BEDDING-GIVEAWAY | -45796 | none | ||
| 9175 | The Patriot Opal Teardrops Ring 925 Sterling Silver | 0 | BEDDING-GIVEAWAY | -45796 | none |