Fold 0 - Understanding why coefficient 5186 was selected
Tag: SKULL
Selected Coefficient: 5186
Taxonomy Path: 3.2.1
Taxonomy Name: Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts
Products with this tag: 6
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? |
|---|---|---|---|---|---|
| 5186 | 2.000000 | 3.2.1 | 1.2.3 (5041 + 2*71 + 3) | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | Yes |
| 143 | 4.014085 | 1.2 | 2.1 (2*71 + 1) | Apparel & Accessories > Clothing Accessories | No |
| 45796 | 4.014085 | 1.6.9 | 9.6.1 (9*71^2 + 6*71 + 1) | Apparel & Accessories > Jewelry > Rings | No |
These are the training products that have the "SKULL" tag (processing sequence 41). 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 |
|---|---|---|---|---|---|---|---|
| 8221 | Skull & Rose silver ring | 45796 | Apparel & Accessories > Jewelry > Rings | none | 40610 | ROSE | |
| 5131 | Handmade Resin Raven Skull Blue/Purple | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 0 | RESIN | |
| 5188 | Handmade Resin Skull on Burned Wood | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 0 | RESIN | |
| 5206 | Handmade Resin Skull Teal | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 0 | RESIN | |
| 5221 | Handmade Resin Skull Red Glitter | 5186 | Arts & Entertainment > Hobbies & Creative Arts > Arts & Crafts | none | 0 | RESIN | |
| 5223 | Handmade Resin Crow Skull Keychain Blue | 143 | Apparel & Accessories > Clothing Accessories | none | -5043 | RESIN |