Fold 2 - Understanding why coefficient 50403 was selected
Tag: 1ST ANNIVERSARY
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
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? |
|---|---|---|---|---|---|
| 50403 | 4.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 18723 | 4.000320 | 0.0.3 | 3.0.0 (3*79^2) | No | |
| 0 | 4.000481 | 0 | 0 (0) | No | |
| 12482 | 4.000481 | 0.0.2 | 2.0.0 (2*79^2) | No | |
| 56644 | 4.000481 | 1.6.9 | 9.6.1 (9*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Rings | No |
These are the training products that have the "1ST ANNIVERSARY" tag (processing sequence 251). 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 |
|---|---|---|---|---|---|---|---|
| 9202 | Rainbow Moonstone - Adjustable Ring 14k Gold | 56644 | Apparel & Accessories > Jewelry > Rings | none | 6241 | 50TH ANNIVERSARY, BACKING MATERIAL 14K GOLD | |
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9453 | Ruby & Pearl - Charm Necklaces | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9180 | Peridot & Pearl - Charm Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9564 | Turquoise Drop Earrings - 14k Gold Filled Metal | 18723 | 11TH ANNIVERSARY | -31680 | 50TH ANNIVERSARY, 5TH ANNIVERSARY, GOLD EARRINGS, DROP EARRINGS | ||
| 9319 | Raw Emerald Necklace - 14K Gold-Filled | 18723 | EMERALD | -31680 | 20TH ANNIVERSARY, 50TH ANNIVERSARY, 55TH ANNIVERSARY, GREEN CRYSTAL | ||
| 8875 | Black Fossil Pendant - Men's Necklace | 12482 | 11TH ANNIVERSARY | -37921 | 20TH ANNIVERSARY, 50TH ANNIVERSARY, 55TH ANNIVERSARY | ||
| 9041 | Citrine & Pearl - Charm Necklace | 0 | CITRINE | -50403 | NOVEMBER BIRTHSTONE |