Fold 1 - Understanding why coefficient -37921 was selected
Tag: WHITE TOPAZ
Selected Coefficient: -37921
Taxonomy Path: -1.6.6
Taxonomy Name:
Products with this tag: 8
Unique residual values tried: 5
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 | 4.000320 | -1.6.6 | -6.6.1 (-(6*79^2 + 6*79 + 1)) | Yes | |
| -56644 | 4.000320 | -1.6.9 | -9.6.1 (-(9*79^2 + 6*79 + 1)) | No | |
| 0 | 5.000160 | 0 | 0 (0) | No | |
| 37446 | 5.000320 | 0.0.6 | 6.0.0 (6*79^2) | No | |
| -107047 | 7.000000 | -2.12.17 | -17.12.2 (-(17*79^2 + 12*79 + 2)) | No |
These are the training products that have the "WHITE TOPAZ" tag (processing sequence 3258). 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 |
|---|---|---|---|---|---|---|---|
| 13871 | Silver Filigree Ring in White Topaz & Blue Topaz | 37446 | BLUE TOPAZ, THE ANDALUSIAN COLLECTION | 75367 | none | ||
| 13798 | Citrine & White Topaz Ring | 0 | THE ENGLISH GARDENS COLLECTION | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 13802 | White Topaz & Purple Amethyst Ring | 0 | THE ENGLISH GARDENS COLLECTION | 37921 | Apparel & Accessories > Jewelry > Earrings | none | |
| 13886 | Octagon White Gold Pendant in White Topaz & Blue Topaz | -37921 | BLUE TOPAZ, NECKLACE, THE ANDALUSIAN COLLECTION | 0 | none | ||
| 13878 | Silver Filigree Pendant in White Topaz & Blue Topaz | -37921 | BLUE TOPAZ, NECKLACE, THE ANDALUSIAN COLLECTION | 0 | none | ||
| 13799 | The Colours of Summer Ring | -56644 | 18CT GOLD, THE ENGLISH GARDENS COLLECTION | -18723 | none | ||
| 13826 | White Topaz & Purple Amethyst Earrings | -56644 | EARRINGS, THE ENGLISH GARDENS COLLECTION | -18723 | none | ||
| 13825 | Purple Amethyst & Citrine & White Topaz Necklace | -107047 | NECKLACE, CITRINE, THE ENGLISH GARDENS COLLECTION | -69126 | none |