Fold 4 - Understanding why coefficient 37921 was selected
Tag: BLUE TOPAZ
Selected Coefficient: 37921
Taxonomy Path: 1.6.6
Taxonomy Name: Apparel & Accessories > Jewelry > Earrings
Products with this tag: 9
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 | 2.000481 | 1.6.6 | 6.6.1 (6*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Earrings | Yes |
| 56644 | 2.000801 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
| 50403 | 2.000961 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
| -18723 | 7.000160 | -0.0.3 | -3.0.0 (-(3*79^2)) | No | |
| 18723 | 7.000160 | 0.0.3 | 3.0.0 (3*79^2) | No |
These are the training products that have the "BLUE TOPAZ" tag (processing sequence 47). 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 |
|---|---|---|---|---|---|---|---|
| 13817 | Blue Topaz & Diamond Ring | 56644 | Apparel & Accessories > Jewelry > Rings | none | 18723 | none | |
| 13871 | Silver Filigree Ring in White Topaz & Blue Topaz | 56644 | Apparel & Accessories > Jewelry > Rings | none | 18723 | THE ANDALUSIAN COLLECTION | |
| 9012 | Blue Topaz - Rose Gold | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 12482 | none | |
| 13888 | Octagon White Gold Drop Earrings in White Topaz & Blue Topaz | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | THE ANDALUSIAN COLLECTION | |
| 13813 | Blue Topaz & Diamond Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | 18CT GOLD | |
| 13835 | Blue Topaz & Agate Earrings | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | none | |
| 13887 | Octagon Gold Drop Earrings in Peridot & Blue Topaz | 37921 | Apparel & Accessories > Jewelry > Earrings | none | 0 | THE ANDALUSIAN COLLECTION | |
| 13801 | Blue Topaz & Agate Ring | 18723 | EARRINGS | -19198 | none | ||
| 13884 | Octagon Gold Pendant in Peridot & Blue Topaz | -18723 | NECKLACE | -56644 | THE ANDALUSIAN COLLECTION |