Fold 4 - Understanding why coefficient 40755 was selected
Tag: 12TH ANNIVERSARY
Selected Coefficient: 40755
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 9
Unique residual values tried: 6
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? |
|---|---|---|---|---|---|
| 40755 | 4.000198 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 427 | 4.000793 | 1.6 | 6.1 (6*71 + 1) | Apparel & Accessories > Jewelry | No |
| -2157193 | 7.014085 | -0.66.1.6 | -6.1.66.0 (-(6*71^3 + 5041 + 66*71)) | No | |
| 0 | 7.014085 | 0 | 0 (0) | No | |
| -30673 | 8.000000 | -1.6.6 | -6.6.1 (-(6*71^2 + 6*71 + 1)) | No | |
| 5 | 8.000000 | 5 | 5 (5) | Bundles | No |
These are the training products that have the "12TH ANNIVERSARY" tag (processing sequence 245). 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 |
|---|---|---|---|---|---|---|---|
| 9456 | Sapphire & Pearl - Charm Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9041 | Citrine & Pearl - Charm Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9180 | Peridot & Pearl - Charm Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9453 | Ruby & Pearl - Charm Necklaces | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 8875 | Black Fossil Pendant - Men's Necklace | 427 | Apparel & Accessories > Jewelry | SILVER, 10TH ANNIVERSARY | -40328 | 20TH ANNIVERSARY | |
| 9028 | New Beginnings Crystals - Bundle Bags | 5 | Bundles | none | -40750 | BUNDLES | |
| 8999 | Blue Lace Agate Stud Earrings | 0 | STUD EARRINGS | -40755 | MEN'S EARRINGS | ||
| 9353 | Raw Green BC Jade Necklace - Antique Bronze and Gold | -30673 | GOLD, CRYSTAL NECKLACE | -71428 | none | ||
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | -2157193 | PEARL | -2197948 | SAPPHIRE |