Fold 3 - Understanding why coefficient 50403 was selected
Tag: CHAIN MATERIAL ROUND BLACK COTTON
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 4
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 | 3.000000 | -1.6.8 | -8.6.1 (-(8*79^2 + 6*79 + 1)) | No |
These are the training products that have the "CHAIN MATERIAL ROUND BLACK COTTON" tag (processing sequence 971). 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 |
|---|---|---|---|---|---|---|---|
| 5066 | Citrine Pendant Necklace - Antique Bronze | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CRYSTAL NECKLACES | |
| 9014 | Blue Boulder Opal Pendant Necklace - Antique Brass | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | PENDANTS | |
| 9148 | Men's Raw Peridot Necklace in 14k Gold-Filled | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | CRYSTAL NECKLACES | |
| 9353 | Raw Green BC Jade Necklace - Antique Bronze and Gold | -50403 | CRYSTAL NECKLACE, ANTIQUE BRONZE | -100806 | none |