Fold 0 - Understanding why coefficient 56644 was selected
Tag: RING
Selected Coefficient: 56644
Taxonomy Path: 1.6.9
Taxonomy Name: Apparel & Accessories > Jewelry > Rings
Products with this tag: 20
Unique residual values tried: 1
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? |
|---|---|---|---|---|---|
| 56644 | 0.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
These are the training products that have the "RING" tag (processing sequence 36). 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 |
|---|---|---|---|---|---|---|---|
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9731 | Braided Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 12315 | Classic Jewel Ring - Citrine | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 12370 | Diva Chain Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13723 | Flat Band Ring (Silver) | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13795 | The Colours Of Summer Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13796 | The Colours Of Summer Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13798 | Citrine & White Topaz Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13799 | The Colours of Summer Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | 18CT GOLD | |
| 13800 | Purple Amethyst & Agate Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13814 | Agate & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13815 | Purple Amethyst & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13816 | Citrine & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13817 | Blue Topaz & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13871 | Silver Filigree Ring in White Topaz & Blue Topaz | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13881 | Gold Filigree Ring in Garnet & Citrine | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13890 | Octagon Gold Ring in Smoky Quartz & Citrine | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13891 | Octagon Gold Ring in Garnet & Citrine | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13892 | Octagon Gold Ring in Peridot & Blue Topaz | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 15063 | Karma Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none |