Fold 3 - Understanding why coefficient -20667 was selected
Tag: BLUE TOPAZ
Selected Coefficient: -20667
Taxonomy Path: -0.0.3
Taxonomy Name:
Products with this tag: 10
Unique residual values tried: 7
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? |
|---|---|---|---|---|---|
| -20667 | 4.000435 | -0.0.3 | -3.0.0 (-(3*83^2)) | Yes | |
| 0 | 4.000581 | 0 | 0 (0) | No | |
| 20667 | 4.000726 | 0.0.3 | 3.0.0 (3*83^2) | No | |
| 34944 | 8.000145 | 1.6.5 | 5.6.1 (5*83^2 + 6*83 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 55611 | 8.000145 | 1.6.8 | 8.6.1 (8*83^2 + 6*83 + 1) | No | |
| -21166 | 9.000000 | -1.6.3 | -3.6.1 (-(3*83^2 + 6*83 + 1)) | No | |
| -104832 | 9.000000 | -3.18.15 | -15.18.3 (-(15*83^2 + 18*83 + 3)) | No |
These are the training products that have the "BLUE TOPAZ" tag (processing sequence 5536). 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 |
|---|---|---|---|---|---|---|---|
| 13806 | Blue Topaz & Diamond Necklace | 55611 | none | 76278 | none | ||
| 9011 | Blue Topaz Pendant - Sterling Silver | 34944 | Apparel & Accessories > Jewelry > Charms & Pendants | none | 55611 | none | |
| 13801 | Blue Topaz & Agate Ring | 20667 | EARRINGS | 41334 | none | ||
| 13888 | Octagon White Gold Drop Earrings in White Topaz & Blue Topaz | 0 | DROP EARRINGS | 20667 | none | ||
| 13892 | Octagon Gold Ring in Peridot & Blue Topaz | 0 | RING | 20667 | none | ||
| 13886 | Octagon White Gold Pendant in White Topaz & Blue Topaz | -20667 | NECKLACE | 0 | none | ||
| 13878 | Silver Filigree Pendant in White Topaz & Blue Topaz | -20667 | NECKLACE | 0 | none | ||
| 13884 | Octagon Gold Pendant in Peridot & Blue Topaz | -20667 | NECKLACE | 0 | none | ||
| 20661 | Marquise Necklace | -21166 | GARNETS, FRESHWATER PEARLS, FEARLESS, ELEGANCE | -499 | none | ||
| 20662 | Navette Earrings | -104832 | HOOPS, POSTS, DANGLES, AQUAMARINE, GARNETS, FRESHWATER PEARLS, FEARLESS, ELEGANCE | -84165 | none |