Fold 0 - 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: 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? |
|---|---|---|---|---|---|
| 50403 | 4.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 69126 | 4.000641 | 1.6.11 | 11.6.1 (11*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Watches | No |
| 0 | 5.000320 | 0 | 0 (0) | No | |
| 6241 | 5.000481 | 0.0.1 | 1.0.0 (6241) | No | |
| 24964 | 5.000481 | 0.0.4 | 4.0.0 (4*79^2) | No |
These are the training products that have the "1ST ANNIVERSARY" tag (processing sequence 263). 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 |
|---|---|---|---|---|---|---|---|
| 9319 | Raw Emerald Necklace - 14K Gold-Filled | 69126 | Apparel & Accessories > Jewelry > Watches | 14K GOLD-FILLED | 18723 | 20TH ANNIVERSARY, EMERALD, GREEN CRYSTAL | |
| 9453 | Ruby & Pearl - Charm Necklaces | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9456 | Sapphire & Pearl - Charm Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9180 | Peridot & Pearl - Charm Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9564 | Turquoise Drop Earrings - 14k Gold Filled Metal | 24964 | 11TH ANNIVERSARY, 14K GOLD-FILLED | -25439 | 5TH ANNIVERSARY, GOLD EARRINGS, RAW STONE ELEGANCE, RSE, DROP EARRINGS | ||
| 9202 | Rainbow Moonstone - Adjustable Ring 14k Gold | 6241 | RAINBOW MOONSTONE | -44162 | RAW STONE ELEGANCE, RSE | ||
| 9041 | Citrine & Pearl - Charm Necklace | 0 | CITRINE | -50403 | NOVEMBER BIRTHSTONE | ||
| 8875 | Black Fossil Pendant - Men's Necklace | 0 | 11TH ANNIVERSARY | -50403 | 20TH ANNIVERSARY |