Fold 0 - Understanding why coefficient 50403 was selected
Tag: CHAIN MATERIAL BLACK LEATHER
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 6
Unique residual values tried: 4
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 | 3.000160 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 31680 | 3.000320 | 1.6.5 | 5.6.1 (5*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Charms & Pendants | No |
| 0 | 4.000000 | 0 | 0 (0) | No | |
| -50403 | 5.000000 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No |
These are the training products that have the "CHAIN MATERIAL BLACK LEATHER" tag (processing sequence 1819). 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 |
|---|---|---|---|---|---|---|---|
| 8894 | Blue Apatite Necklace - Sterling Silver Plated | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9131 | Rainbow Moonstone Necklace - Antique Bronze | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9149 | Men’s Ruby Pendant Antique Bronze - Black Leather Cord | 31680 | Apparel & Accessories > Jewelry > Charms & Pendants | none | -18723 | CHAIN MATERIAL ANTIQUE BRONZE | |
| 9014 | Blue Boulder Opal Pendant Necklace - Antique Brass | 0 | CHAIN MATERIAL ROUND BLACK COTTON | -50403 | CHAIN MATERIAL ANTIQUE BRONZE | ||
| 9119 | Men's Rainbow Moonstone in Antique Bronze - With Black Leather Cord | 0 | CHAIN MATERIAL BLACK ROUND COTTON | -50403 | CHAIN MATERIAL ANTIQUE BRONZE, JUNE BIRTHSTONE, 50TH ANNIVERSARY | ||
| 9148 | Men's Raw Peridot Necklace in 14k Gold-Filled | -50403 | CHAIN MATERIAL ROUND BLACK COTTON, CRYSTAL NECKLACES | -100806 | CHAIN MATERIAL ANTIQUE BRONZE |