Fold 1 - Understanding why coefficient 28055 was selected
Tag: ENAMEL
Selected Coefficient: 28055
Taxonomy Path: 1.6.4
Taxonomy Name: Apparel & Accessories > Jewelry > Brooches & Lapel Pins
Products with this tag: 9
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? |
|---|---|---|---|---|---|
| 28055 | 3.012193 | 1.6.4 | 4.6.1 (4*83^2 + 6*83 + 1) | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | Yes |
| 499 | 3.012629 | 1.6 | 6.1 (6*83 + 1) | No | |
| 69057 | 3.060241 | 1.2.10 | 10.2.1 (10*83^2 + 2*83 + 1) | No | |
| -41833 | 7.000000 | -1.6.6 | -6.6.1 (-(6*83^2 + 6*83 + 1)) | No | |
| -4608326 | 8.000000 | -0.78.4.8 | -8.4.78.0 (-(8*83^3 + 4*83^2 + 78*83)) | No |
These are the training products that have the "ENAMEL" tag (processing sequence 5259). 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 |
|---|---|---|---|---|---|---|---|
| 14349 | Shutgun Shell Cufflinks - 3D, Red | 69057 | none | 41002 | none | ||
| 14420 | Bee Cufflinks - 3D, Yellow, Black | 28055 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 14367 | Alligator Cufflinks - 3D, Silver | 28055 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 14388 | Bird Cufflinks - 3D | 28055 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 13997 | Shutgun Shell Cufflinks - 3D, Green | 28055 | Apparel & Accessories > Jewelry > Brooches & Lapel Pins | none | 0 | none | |
| 14419 | Horse and Jockey Cufflinks - 3D, Red, Black, Silver | 499 | none | -27556 | none | ||
| 20681 | Alexandra Enamel and Diamond Earrings | -41833 | STUD, EARRINGS | -69888 | HALO | ||
| 20712 | Quinn Enamel Huggie Earrings | -41833 | HUGGIES, EARRINGS | -69888 | none | ||
| 31493 | Custom Enamel Name Paperclip Necklace | -4608326 | SHOP ALL | -4636381 | none |