Fold 2 - 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: 7
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? |
|---|---|---|---|---|---|
| 40755 | 4.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| -2157193 | 5.014085 | -0.66.1.6 | -6.1.66.0 (-(6*71^3 + 5041 + 66*71)) | No | |
| 0 | 5.014085 | 0 | 0 (0) | No | |
| 5 | 6.000000 | 5 | 5 (5) | Bundles | No |
| 56290 | 6.000000 | 58.11.11 | 11.11.58 (11*71^2 + 11*71 + 58) | No |
These are the training products that have the "12TH ANNIVERSARY" tag (processing sequence 256). 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 |
|---|---|---|---|---|---|---|---|
| 8875 | Black Fossil Pendant - Men's Necklace | 56290 | SILVER | 15535 | 13TH ANNIVERSARY, 20TH ANNIVERSARY, 35TH ANNIVERSARY, 40TH ANNIVERSARY, 55TH ANNIVERSARY | ||
| 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 | 40TH ANNIVERSARY, JULY BIRTHSTONE, RUBY | |
| 9456 | Sapphire & Pearl - Charm Necklace | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9028 | New Beginnings Crystals - Bundle Bags | 5 | Bundles | none | -40750 | 35TH ANNIVERSARY, GREEN CRYSTAL, YELLOW CRYSTAL | |
| 8999 | Blue Lace Agate Stud Earrings | 0 | STUD EARRINGS | -40755 | MEN'S EARRINGS | ||
| 9454 | Sapphire and Pearl - Sterling Silver Necklace | -2157193 | PEARL | -2197948 | SAPPHIRE |