Fold 3 - Understanding why coefficient -2969648 was selected
Tag: BACKING MATERIAL 14K GOLD
Selected Coefficient: -2969648
Taxonomy Path: -2.7.21.8
Taxonomy Name:
Products with this tag: 3
Unique residual values tried: 3
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? |
|---|---|---|---|---|---|
| -2969648 | 2.000000 | -2.7.21.8 | -8.21.7.2 (-(8*71^3 + 21*71^2 + 7*71 + 2)) | Yes | |
| -40755 | 2.000000 | -1.6.8 | -8.6.1 (-(8*71^2 + 6*71 + 1)) | No | |
| 40755 | 2.000000 | 1.6.8 | 8.6.1 (8*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Necklaces | No |
These are the training products that have the "BACKING MATERIAL 14K GOLD" tag (processing sequence 700). 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 |
|---|---|---|---|---|---|---|---|
| 9148 | Men's Raw Peridot Necklace in 14k Gold-Filled | 40755 | Apparel & Accessories > Jewelry > Necklaces | none | 3010403 | CHAIN MATERIAL ANTIQUE BRONZE, RAW CRYSTAL | |
| 9464 | Sapphire Stud Earrings: 14k Gold Filled | -40755 | STUD EARRINGS, 2021 JEWELRY SET | 2928893 | Apparel & Accessories > Clothing > Clothing Tops > T-Shirts | DARK BLUE CRYSTAL | |
| 9367 | Iolite Sapphire Stud Earrings | -2969648 | STUD EARRINGS, WOMEN, 2021 JEWELRY SET | 0 | DARK BLUE CRYSTAL, RAW CRYSTAL |