Fold 2 - Understanding why coefficient 37605 was selected
Tag: BELTS
Selected Coefficient: 37605
Taxonomy Path: 1.2.6
Taxonomy Name: Apparel & Accessories > Clothing Accessories > Belts
Products with this tag: 8
Unique residual values tried: 4
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? |
|---|---|---|---|---|---|
| 37605 | 4.000000 | 1.2.6 | 6.2.1 (6*79^2 + 2*79 + 1) | Apparel & Accessories > Clothing Accessories > Belts | Yes |
| -6559371 | 5.000002 | -1.1.24.13 | -13.24.1.1 (-(13*79^3 + 24*79^2 + 79 + 1)) | No | |
| -4587215 | 5.000004 | -1.1.24.9 | -9.24.1.1 (-(9*79^3 + 24*79^2 + 79 + 1)) | No | |
| -561690 | 7.000000 | -0.0.11.1 | -1.11.0.0 (-(493039 + 11*79^2)) | No |
These are the training products that have the "BELTS" tag (processing sequence 782). 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 |
|---|---|---|---|---|---|---|---|
| 1019 | Monterey Chevron Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 5517 | Long Red Faux Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 10433 | Fox and Horn Ribbon Belt | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | none | |
| 11965 | Leather Heritage Belt - Dark Brown | 37605 | Apparel & Accessories > Clothing Accessories > Belts | none | 0 | AMERICA | |
| 11856 | Nevan Casual Track Belt | -561690 | ACCESSORIES | -599295 | UNDER-50 | ||
| 11847 | Nampa Classic Leather Belt | -4587215 | 50-100, ACCESSORIES | -4624820 | NEW-EDITION-FASHION | ||
| 11860 | Valente Classic Leather Belt | -6559371 | CASUAL, ACCESSORIES | -6596976 | UNDER-50 | ||
| 11877 | Vartan Braided Belt | -6559371 | CASUAL, ACCESSORIES | -6596976 | UNDER-50 |