Fold 0 - Understanding why coefficient -37921 was selected
Tag: 9CT GOLD
Selected Coefficient: -37921
Taxonomy Path: -1.6.6
Taxonomy Name:
Products with this tag: 26
Unique residual values tried: 12
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? |
|---|---|---|---|---|---|
| -37921 | 14.000801 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | Yes | |
| 0 | 14.001122 | 0 | 0 (0) | No | |
| -18723 | 14.001442 | -0.0.3 | -3.0.0 (-(3*79^2)) | No | |
| -56644 | 14.001442 | -1.6.9 | -9.6.1 (-(9*79^2 + 6*79 + 1)) | No | |
| 18723 | 14.001763 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| -6241 | 14.001763 | -0.0.1 | -1.0.0 (-(6241)) | No | |
| 6241 | 14.001763 | 0.0.1 | 1.0.0 (6241) | No | |
| 12482 | 14.001763 | 0.0.2 | 2.0.0 (2*79^2) | No | |
| -50403 | 14.001763 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No | |
| -75367 | 14.001763 | -1.6.12 | -12.6.1 (-(12*79^2 + 6*79 + 1)) | No | |
| -88324 | 24.000160 | -2.12.14 | -14.12.2 (-(14*79^2 + 12*79 + 2)) | No | |
| -94565 | 24.000160 | -2.12.15 | -15.12.2 (-(15*79^2 + 12*79 + 2)) | No |
These are the training products that have the "9CT GOLD" tag (processing sequence 362). 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 |
|---|---|---|---|---|---|---|---|
| 13892 | Octagon Gold Ring in Peridot & Blue Topaz | 18723 | BLUE TOPAZ, YELLOW GOLD | 56644 | Apparel & Accessories > Jewelry > Rings | THE ANDALUSIAN COLLECTION | |
| 13814 | Agate & Diamond Ring | 12482 | DIAMOND, YELLOW GOLD | 50403 | Apparel & Accessories > Jewelry > Necklaces | THE ENGLISH GARDENS COLLECTION | |
| 13888 | Octagon White Gold Drop Earrings in White Topaz & Blue Topaz | 6241 | BLUE TOPAZ | 44162 | Apparel & Accessories > Jewelry > Jewelry Sets | THE ANDALUSIAN COLLECTION, WHITE TOPAZ, DROP EARRINGS | |
| 13887 | Octagon Gold Drop Earrings in Peridot & Blue Topaz | 0 | BLUE TOPAZ, YELLOW GOLD | 37921 | Apparel & Accessories > Jewelry > Earrings | THE ANDALUSIAN COLLECTION, DROP EARRINGS | |
| 13863 | Birthstone Halo Earrings - Emerald | 0 | STUD EARRINGS | 37921 | Apparel & Accessories > Jewelry > Earrings | EMERALD | |
| 13881 | Gold Filigree Ring in Garnet & Citrine | 0 | CITRINE, YELLOW GOLD | 37921 | Apparel & Accessories > Jewelry > Earrings | THE ANDALUSIAN COLLECTION | |
| 13891 | Octagon Gold Ring in Garnet & Citrine | 0 | CITRINE, YELLOW GOLD | 37921 | Apparel & Accessories > Jewelry > Earrings | THE ANDALUSIAN COLLECTION | |
| 13890 | Octagon Gold Ring in Smoky Quartz & Citrine | 0 | CITRINE, YELLOW GOLD | 37921 | Apparel & Accessories > Jewelry > Earrings | THE ANDALUSIAN COLLECTION | |
| 13704 | Teal Topaz Cocktail Ring | -6241 | YELLOW GOLD, 18CT GOLD | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | |
| 13889 | Octagon Gold Drop Earrings in Smoky Quartz & Citrine | -18723 | CITRINE, YELLOW GOLD | 19198 | Apparel & Accessories > Jewelry > Bracelets | THE ANDALUSIAN COLLECTION, DROP EARRINGS | |
| 13880 | Gold Filigree Earrings in Garnet & Citrine | -18723 | CITRINE, YELLOW GOLD | 19198 | Apparel & Accessories > Jewelry > Bracelets | THE ANDALUSIAN COLLECTION, DROP EARRINGS | |
| 13885 | Octagon Gold Drop Earrings in Garnet & Citrine | -18723 | CITRINE, YELLOW GOLD | 19198 | Apparel & Accessories > Jewelry > Bracelets | THE ANDALUSIAN COLLECTION, DROP EARRINGS | |
| 13841 | Birthstone Halo Earrings - Ruby | -37921 | DIAMOND, STUD EARRINGS | 0 | none | ||
| 13836 | Birthstone Halo Earrings - Tanzanite | -37921 | DIAMOND, STUD EARRINGS | 0 | none | ||
| 13847 | Birthstone Halo Earrings - Pearl | -37921 | DIAMOND, STUD EARRINGS | 0 | none | ||
| 13848 | Birthstone Halo Earrings - Aquamarine | -37921 | DIAMOND, STUD EARRINGS | 0 | none | ||
| 13840 | Birthstone Halo Earrings - Sapphire | -37921 | DIAMOND, STUD EARRINGS | 0 | none | ||
| 13839 | Birthstone Halo Earrings - Opal | -37921 | DIAMOND, STUD EARRINGS | 0 | none | ||
| 13849 | Birthstone Halo Earrings - Amethyst | -37921 | DIAMOND, STUD EARRINGS | 0 | none | ||
| 13886 | Octagon White Gold Pendant in White Topaz & Blue Topaz | -50403 | BLUE TOPAZ, NECKLACE | -12482 | THE ANDALUSIAN COLLECTION, WHITE TOPAZ | ||
| 13884 | Octagon Gold Pendant in Peridot & Blue Topaz | -56644 | BLUE TOPAZ, NECKLACE, YELLOW GOLD | -18723 | THE ANDALUSIAN COLLECTION | ||
| 13879 | Gold Filigree Pendant in Garnet & Citrine | -56644 | CITRINE, NECKLACE, YELLOW GOLD | -18723 | THE ANDALUSIAN COLLECTION | ||
| 13883 | Octagon Gold Pendant in Smoky Quartz & Citrine | -56644 | CITRINE, NECKLACE, YELLOW GOLD | -18723 | THE ANDALUSIAN COLLECTION | ||
| 13882 | Octagon Gold Pendant in Garnet & Citrine | -75367 | CITRINE, NECKLACE, YELLOW GOLD | -37446 | THE ANDALUSIAN COLLECTION | ||
| 13813 | Blue Topaz & Diamond Earrings | -88324 | BLUE TOPAZ, DIAMOND, 18CT GOLD | -50403 | THE ENGLISH GARDENS COLLECTION | ||
| 13807 | Purple Amethyst & Diamond Earrings | -94565 | EARRINGS, DIAMOND, 18CT GOLD | -56644 | THE ENGLISH GARDENS COLLECTION |