Fold 4 - Understanding why coefficient 50403 was selected
Tag: GOLD NECKLACE
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 6
Unique residual values tried: 2
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 | 1.000000 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| -50403 | 5.000000 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No |
These are the training products that have the "GOLD NECKLACE" tag (processing sequence 514). 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 |
|---|---|---|---|---|---|---|---|
| 5013 | LOVE PLATE NECKLACE | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 5014 | BADASS PLATE NECKLACE | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 5034 | BADASS NECKLACE | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9815 | Uptown Chic Necklace | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 13975 | Rope Necklace 14K White Gold 1.6 mm | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 2310 | Mini Micro Pave Disc Pendant Necklace | -50403 | ADJUSTABLE NECKLACE, CHARM NECKLACE | -100806 | SILVER NECKLACE, MOTHER'S DAY GIFT, BLACK FRIDAY, LUCKY |