Fold 2 - 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: 17
Unique residual values tried: 8
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 | 7.000320 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | Yes |
| 62885 | 7.001282 | 1.6.10 | 10.6.1 (10*79^2 + 6*79 + 1) | No | |
| 6241 | 12.012979 | 0.0.1 | 1.0.0 (6241) | No | |
| 24964 | 12.013139 | 0.0.4 | 4.0.0 (4*79^2) | No | |
| 18723 | 12.013139 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| -117868 | 12.050633 | -0.70.18 | -18.70.0 (-(18*79^2 + 70*79)) | No | |
| 56466 | 16.000000 | 60.3.9 | 9.3.60 (9*79^2 + 3*79 + 60) | No | |
| -37921 | 16.000000 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | No |
These are the training products that have the "RING" tag (processing sequence 3295). 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 |
|---|---|---|---|---|---|---|---|
| 13881 | Gold Filigree Ring in Garnet & Citrine | 62885 | CITRINE, THE ANDALUSIAN COLLECTION | 6241 | GARNET | ||
| 13891 | Octagon Gold Ring in Garnet & Citrine | 62885 | CITRINE, THE ANDALUSIAN COLLECTION | 6241 | GARNET | ||
| 12370 | Diva Chain Ring | 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 | |
| 13797 | 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 | |
| 13802 | White Topaz & Purple Amethyst Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13814 | Agate & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 9731 | Braided Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 0 | none | |
| 13890 | Octagon Gold Ring in Smoky Quartz & Citrine | 56466 | CITRINE, SMOKY QUARTZ, THE ANDALUSIAN COLLECTION | -178 | none | ||
| 13892 | Octagon Gold Ring in Peridot & Blue Topaz | 24964 | BLUE TOPAZ, PERIDOT, THE ANDALUSIAN COLLECTION | -31680 | none | ||
| 13817 | Blue Topaz & Diamond Ring | 18723 | BLUE TOPAZ | -37921 | none | ||
| 13816 | Citrine & Diamond Ring | 6241 | CITRINE | -50403 | none | ||
| 12315 | Classic Jewel Ring - Citrine | 6241 | CITRINE | -50403 | none | ||
| 13785 | Diamond Ring with Teal Topaz in Wedeln Design in 18ct Yellow Gold | -37921 | 18CT GOLD, GSTAAD COLLECTION | -94565 | none | ||
| 9143 | University of Tennessee | UT | Tungsten Ring Band | Black and Silver | 8MM | -117868 | 8MM, FASHION | -174512 | none |