Fold 4 - Understanding why coefficient 50403 was selected
Tag: MENS JEWELRY
Selected Coefficient: 50403
Taxonomy Path: 1.6.8
Taxonomy Name: Apparel & Accessories > Jewelry > Necklaces
Products with this tag: 10
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? |
|---|---|---|---|---|---|
| 50403 | 5.012658 | 1.6.8 | 8.6.1 (8*79^2 + 6*79 + 1) | Apparel & Accessories > Jewelry > Necklaces | Yes |
| 5997681 | 5.050633 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
| 0 | 6.000160 | 0 | 0 (0) | No | |
| -18723 | 6.000481 | -0.0.3 | -3.0.0 (-(3*79^2)) | No | |
| -31680 | 9.000000 | -1.6.5 | -5.6.1 (-(5*79^2 + 6*79 + 1)) | No |
These are the training products that have the "MENS JEWELRY" tag (processing sequence 2038). 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 | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | CHAIN MATERIAL ROUND BLACK COTTON | 5947278 | none | |
| 13998 | Miami Cuban Link Chain 5.8 mm - Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | STERLING SILVER NECKLACE | |
| 9416 | Raw Sapphire Necklace in White Gold Plated (Dark Silver) | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 9455 | Sapphire Necklace - Antique Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | none | |
| 13934 | Diamond Cut Rope Necklace - 3.7 mm - Sterling Silver | 50403 | Apparel & Accessories > Jewelry > Necklaces | none | 0 | STERLING SILVER NECKLACE | |
| 9014 | Blue Boulder Opal Pendant Necklace - Antique Brass | 0 | BLUE, CHAIN MATERIAL ROUND BLACK COTTON | -50403 | none | ||
| 9119 | Men's Rainbow Moonstone in Antique Bronze - With Black Leather Cord | 0 | RAINBOW MOONSTONE | -50403 | WHITE CRYSTAL | ||
| 9085 | Men's Herkimer Diamond Pendant - Antique Bronze | 0 | PENDANT | -50403 | WHITE CRYSTAL, HERKIMER DIAMOND | ||
| 9149 | Men’s Ruby Pendant Antique Bronze - Black Leather Cord | -18723 | PENDANT NECKLACE | -69126 | none | ||
| 9518 | Herkimer Diamond Necklace - Add a Sterling Silver Chain | -31680 | PENDANT, ADD A STERLING SILVER CHAIN? 16 INCH CHAIN | -82083 | WHITE CRYSTAL, HERKIMER DIAMOND |