Fold 3 - 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: 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? |
|---|---|---|---|---|---|
| 56644 | 6.000000 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 24964 | 10.000320 | 0.0.4 | 4.0.0 (4*79^2) | No | |
| 6241 | 10.000481 | 0.0.1 | 1.0.0 (6241) | No | |
| 3963906 | 14.000000 | 2.11.3.8 | 8.3.11.2 (8*79^3 + 3*79^2 + 11*79 + 2) | No |
These are the training products that have the "RING" tag (processing sequence 155). 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 | 3963906 | 8MM | 3907262 | FASHION | ||
| 13723 | Flat Band Ring (Silver) | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13785 | Diamond Ring with Teal Topaz in Wedeln Design in 18ct Yellow Gold | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | GSTAAD COLLECTION | |
| 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 | none | |
| 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 | |
| 14369 | Forever Stacking Ring (Silver) | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13817 | Blue Topaz & Diamond Ring | 24964 | BLUE TOPAZ | -31680 | none | ||
| 13871 | Silver Filigree Ring in White Topaz & Blue Topaz | 24964 | BLUE TOPAZ | -31680 | THE ANDALUSIAN COLLECTION | ||
| 13892 | Octagon Gold Ring in Peridot & Blue Topaz | 24964 | BLUE TOPAZ | -31680 | THE ANDALUSIAN COLLECTION | ||
| 13890 | Octagon Gold Ring in Smoky Quartz & Citrine | 6241 | CITRINE | -50403 | THE ANDALUSIAN COLLECTION | ||
| 13816 | Citrine & Diamond Ring | 6241 | CITRINE | -50403 | none |